Nuclear Physics B最新文献

{"title":"Dunkl algebra and vacuum pair creation: Exact analytical results via Bogoliubov method","authors":"","doi":"10.1016/j.nuclphysb.2024.116684","DOIUrl":"10.1016/j.nuclphysb.2024.116684","url":null,"abstract":"<div><p>This paper examines the generation of scalar particle pairs resulting from the application of an external electric field's Coulomb potential in both three- and two-dimensional scenarios, employing Dunkl's formalism. In doing this, we present two distinct sets of exact solutions to the Dunkl-Klein-Gordon equation. Subsequently, we employ the canonical approach based on the Bogoliubov transformation to link the “in” and “out” states in order to compute both the probability of pair creation and the density of particle creation. It is shown that the conditions necessary for the creation of pairs of spinless particles depend on several factors: nucleus charge <em>Z</em>, quantum numbers, and Dunkl parameter. It is also shown that the Dunkl formalism enhances particle pair production.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002505/pdfft?md5=685df24b6527df55174263d31e3a1985&pid=1-s2.0-S0550321324002505-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142240733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamics of spin-0 (particles-antiparticles) in Bonnor-Melvin cosmological space-time using the Generalized Feshbach-Villars transformation","authors":"","doi":"10.1016/j.nuclphysb.2024.116682","DOIUrl":"10.1016/j.nuclphysb.2024.116682","url":null,"abstract":"<div><p>In this paper, we employ the Generalized Feshbach-Villars transformation (GFVT) to investigate the relativistic quantum dynamics of spin-0 scalar particles within the backdrop of a magnetic universe characterized by the Bonnor-Melvin cosmological space-time, which exhibits a geometrical topology resulting in an angular deficit. We derive the radial equation of the Klein-Gordon equation using this FV representation and obtain analytical solutions utilizing special functions. Our analysis demonstrates that various parameters associated with the space-time geometry exert significant influence on the eigenvalue solutions within this novel representation.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002487/pdfft?md5=0625c90d40cd64a33dfe6d02f8a165e9&pid=1-s2.0-S0550321324002487-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142240732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Linear equations with infinitely many derivatives and explicit solutions to zeta nonlocal equations","authors":"","doi":"10.1016/j.nuclphysb.2024.116680","DOIUrl":"10.1016/j.nuclphysb.2024.116680","url":null,"abstract":"<div><p>We summarize our theory on existence, uniqueness and regularity of solutions for linear equations in infinitely many derivatives of the form<span><span><span><math><mi>f</mi><mo>(</mo><msub><mrow><mo>∂</mo></mrow><mrow><mi>t</mi></mrow></msub><mo>)</mo><mi>ϕ</mi><mo>=</mo><mi>J</mi><mo>(</mo><mi>t</mi><mo>)</mo><mspace></mspace><mo>,</mo><mspace></mspace><mi>t</mi><mo>≥</mo><mn>0</mn><mspace></mspace><mo>,</mo></math></span></span></span> where <em>f</em> is an analytic function such as the (analytic continuation of the) Riemann zeta function. We explain how to analyse initial value problems for these equations, and we prove rigorously that the function<span><span><span><math><mi>ϕ</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><munder><mo>∑</mo><mrow><mi>n</mi><mo>≥</mo><mn>1</mn></mrow></munder><mfrac><mrow><mi>μ</mi><mo>(</mo><mi>n</mi><mo>)</mo></mrow><mrow><msup><mrow><mi>n</mi></mrow><mrow><mi>h</mi></mrow></msup></mrow></mfrac><mi>J</mi><mo>(</mo><mi>t</mi><mo>−</mo><mi>ln</mi><mo>⁡</mo><mo>(</mo><mi>n</mi><mo>)</mo><mo>)</mo><mspace></mspace><mo>,</mo></math></span></span></span> in which <em>μ</em> is the Möbius function and <em>J</em> satisfies some technical conditions to be specified in Section <span><span>4</span></span>, is the solution to the <em>zeta nonlocal equation</em><span><span><span><math><mi>ζ</mi><mo>(</mo><msub><mrow><mo>∂</mo></mrow><mrow><mi>t</mi></mrow></msub><mo>+</mo><mi>h</mi><mo>)</mo><mi>ϕ</mi><mo>=</mo><mi>J</mi><mo>(</mo><mi>t</mi><mo>)</mo><mspace></mspace><mo>,</mo><mspace></mspace><mi>t</mi><mo>≥</mo><mn>0</mn><mspace></mspace><mo>,</mo></math></span></span></span> in which <em>ζ</em> is the Riemann zeta function and <span><math><mi>h</mi><mo>&gt;</mo><mn>1</mn></math></span>. We also present explicit examples of solutions to initial value problems for this equation. Our constructions can be interpreted as highlighting the importance of the <em>cosmological daemon functions</em> considered by Aref'eva and Volovich (2011) <span><span>[1]</span></span>. Our main technical tool is the Laplace transform as a unitary operator between the Lebesgue space <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> and the Hardy space <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002463/pdfft?md5=3c6c94d585794459cbf36ea4d23f7705&pid=1-s2.0-S0550321324002463-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142229528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Charged wormhole solutions in 4D Einstein-Gauss-Bonnet gravity","authors":"","doi":"10.1016/j.nuclphysb.2024.116681","DOIUrl":"10.1016/j.nuclphysb.2024.116681","url":null,"abstract":"<div><p>In the present work, we construct models of static wormholes in 4-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity with an (an)isotropic energy momentum tensor (EMT) and a Maxwell field as supporting matters for the wormhole geometry assuming a constant redshift function. We obtain exact spherically symmetric wormhole solutions in 4D EGB gravity for isotropic and anisotropic matter sources under the effect of electric charge. The solutions are more generalized in the sense of incorporating the charge contributions. Furthermore, we examine the null, weak and strong energy conditions at the wormhole throat of radius <span><math><mi>r</mi><mo>=</mo><msub><mrow><mi>r</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. We demonstrate that at the wormhole throat, the classical energy conditions are violated by arbitrary small amount. Additionally, we analyze the wormhole geometry incorporating semiclassical corrections through embedding diagrams. We discover that the wormhole solutions are in equilibrium as the anisotropic and hydrostatic forces cancel each other.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002475/pdfft?md5=faffdbfcc454fb5b004850018f24de07&pid=1-s2.0-S0550321324002475-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142171738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Interior volume of the charged BTZ black holes","authors":"","doi":"10.1016/j.nuclphysb.2024.116676","DOIUrl":"10.1016/j.nuclphysb.2024.116676","url":null,"abstract":"<div><p>In Schwarzschild spacetime, Reinhart (1973) has shown the hypersurface <span><math><msub><mrow><mi>r</mi></mrow><mrow><mi>s</mi><mi>s</mi></mrow></msub><mo>=</mo><mn>3</mn><mi>M</mi><mo>/</mo><mn>2</mn></math></span> (the subscript stands for “steady-state”) to be the maximal hypersurface. This steady-state radius <span><math><msub><mrow><mi>r</mi></mrow><mrow><mi>s</mi><mi>s</mi></mrow></msub></math></span> plays a crucial role in defining and evaluating the interior volume of a black hole. In this article, we investigate various methods to compute the maximal interior volume of a charged BTZ black hole. We find that the presence of charge <em>Q</em> in a black hole introduces a “<em>log</em>” term in the metric as a result of which, an analytical solution for the volume does not exist. So we first compute the volume of the black hole for the limiting case when the charge <em>Q</em> is very small (i.e., <span><math><mi>Q</mi><mo>≪</mo><mn>1</mn></math></span>: <em>Q</em> is a dimensionless parameter in (2+1) dimensions) and then carry out a numerical analysis to solve for the volume for more generic values of the charge. We find that the volume grows monotonically with the advance time <em>v</em>. We further investigate the functional behavior of the entropy of a massless scalar field living on the maximal hypersurface of a near-extremal black hole. We show that this volume entropy exhibits a very different functional form from the horizon entropy.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002426/pdfft?md5=b4bb16d16976d0835b35d3a461927b5d&pid=1-s2.0-S0550321324002426-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142240731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Is nature natural?","authors":"","doi":"10.1016/j.nuclphysb.2024.116679","DOIUrl":"10.1016/j.nuclphysb.2024.116679","url":null,"abstract":"<div><p>I summarize the apparent relevance of anthropic selection in understanding unnatural features of the Standard Model, and the consequent implications for theory. This topic, pioneered by Weinberg, could make him the last giant of physics.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002451/pdfft?md5=92cf3f2ea7d7e0521463ca5b79508afb&pid=1-s2.0-S0550321324002451-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mimetic-f(Q) gravity: Cosmic reconstruction and energy conditions","authors":"","doi":"10.1016/j.nuclphysb.2024.116677","DOIUrl":"10.1016/j.nuclphysb.2024.116677","url":null,"abstract":"<div><p>In this study, we present a approach to mimetic gravity incorporating a non-zero nonmetricity tensor with vanishing torsion and curvature, establishing a generalized mimetic-<span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> gravity framework. Using the Lagrange multiplier method, we have obtained and discussed characteristics of the theory's field equations. In order to study cosmic evolution given by the hybrid scale factor, we implemented the reconstruction method in two different ways. In the first case, we have obtained corresponding Lagrange multiplier <em>η</em> and potential <em>U</em> for the specific <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo><mo>=</mo><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo><mo>=</mo><mi>Q</mi><mo>−</mo><mn>6</mn><mi>λ</mi><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup><msup><mrow><mo>(</mo><mfrac><mrow><mi>Q</mi></mrow><mrow><mn>6</mn><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>)</mo></mrow><mrow><mi>α</mi></mrow></msup></math></span> function, while in the second scenario we have recovered <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> functional and mimetic potential for the given Lagrange multiplier <span><math><msub><mrow><mi>η</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>+</mo><mi>γ</mi><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. Subsequently, we explore the fundamental properties of the <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo><mo>=</mo><mi>Q</mi><mo>−</mo><mn>6</mn><mi>λ</mi><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup><msup><mrow><mo>(</mo><mfrac><mrow><mi>Q</mi></mrow><mrow><mn>6</mn><msup><mrow><mi>M</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>)</mo></mrow><mrow><mi>α</mi></mrow></msup></math></span> model and analyse the energy conditions to establish its validity. Our findings indicate that the introduced framework allows for the derivation of cosmological models that satisfy necessary energy constraints. Specifically, we show that the considered model enters the quintessence region for the equation of state parameter <em>w</em>, simultaneously violating the strong energy condition (SEC), leading to repulsive behaviour consistent with accelerated expansion. Thus, the introduced extension demonstrates potential for accurately describing cosmological models.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002438/pdfft?md5=bbac7e76e2bd3f053445cdca0bcabc18&pid=1-s2.0-S0550321324002438-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On effective models of regular black holes inspired by higher-derivative and nonlocal gravity","authors":"","doi":"10.1016/j.nuclphysb.2024.116674","DOIUrl":"10.1016/j.nuclphysb.2024.116674","url":null,"abstract":"<div><p>In this work we study static spherically symmetric solutions of effective field equations related to local and nonlocal higher-derivative gravity models, based on their associated effective delta sources. This procedure has been applied to generate modifications of the Schwarzschild geometry in several contexts (e.g., modified gravity, string theory, noncommutative geometry, generalized uncertainty principle scenarios), but a general analysis of the possible equations of state and their influence on the solutions was still lacking. Here, we aim to fill this gap in the literature and investigate whether these metrics might be able to reproduce features of the solutions of higher-derivative gravity models. In particular, we present an equation of state such that the solution matches the Newtonian-limit one in both regimes of large and small <em>r</em>. A significant part of the work is dedicated to studying the curvature regularity of the solutions and the comparison with the linearized solutions. Explicit metrics are presented for effective sources originating from local and nonlocal models. The results obtained here might be regarded as possible links between the previous research on linearized higher-derivative gravity and the solutions of the nonlinear complete field equations, which remain unknown at the moment.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002402/pdfft?md5=49fc98fead18fa8019f9688f53e7f038&pid=1-s2.0-S0550321324002402-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142161733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dual relations from Hawking-Page transition in Gauss-Bonnet gravity and Gauss-Bonnet-Maxwell gravity","authors":"","doi":"10.1016/j.nuclphysb.2024.116673","DOIUrl":"10.1016/j.nuclphysb.2024.116673","url":null,"abstract":"<div><p>A universal dual relation <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>=</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>H</mi><mi>P</mi></mrow></msub><mo>(</mo><mi>n</mi><mo>)</mo></math></span> between the minimum temperature (<span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>)</mo></math></span>) black hole phase and Hawking-Page (HP) transition (<span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>H</mi><mi>P</mi></mrow></msub><mo>(</mo><mi>n</mi><mo>)</mo></math></span>) black hole phase in two successive dimensions was introduced in <span><span>[1]</span></span>, which was reminiscent of the AdS/CFT correspondence, as the HP transition temperature could be treated as the temperature of the dual physical quantity on the boundary and the latter corresponds to the one in the bulk. In this paper, we derive analytically the dual relations in Gauss-Bonnet (GB) gravity and GB-Maxwell gravity. For the GB (charged/uncharged) spherical AdS black holes, the dual relations are exactly the same with the ones in Einstein gravity. Especially for the GB hyperbolic AdS black holes, since there exist the HP transition with reentrance and triple points, the dual relations only hold while they characterize actually the duality between the (large/small) HP transition temperature and the extremum (minimum/maximum) temperature in two successive dimensions. In the grand canonical ensemble of GB gravity, the Gibbs energy has the similar qualitative behavior with the cases in the canonical ensemble of GB gravity, while there is an additional effect of electric potential on the HP transition. These dual relations are interesting in understanding the HP transition, and may bring some clue on the applications in the holographic principle and the black hole thermodynamics.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002396/pdfft?md5=81ba9beaedb807f667c2f7f7b6dc428a&pid=1-s2.0-S0550321324002396-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modular transformations of on-shell actions of (root-)TT‾ deformed holographic CFTs","authors":"","doi":"10.1016/j.nuclphysb.2024.116675","DOIUrl":"10.1016/j.nuclphysb.2024.116675","url":null,"abstract":"<div><p>In this study, we examine the modular transformations of the (root-) T<span><math><mover><mrow><mtext>T</mtext></mrow><mo>‾</mo></mover></math></span> deformed torus partition function of a two-dimensional CFT (with a gravitational anomaly) from the holographic perspective by computing the on-shell actions of various saddle solutions of the dual gravity theories.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002414/pdfft?md5=930da36b51dfd61bd4b7767381770fb4&pid=1-s2.0-S0550321324002414-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142161732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}