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Scalar field theory under Robin boundary conditions: two-point function and energy-momentum tensor 罗宾边界条件下的标量场理论：两点函数和能动张量
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07060
David Dudal, Aaron Gobeyn, Bruno W. Mintz, Thomas Oosthuyse, Sebbe Stouten
{"title":"Scalar field theory under Robin boundary conditions: two-point function and energy-momentum tensor","authors":"David Dudal, Aaron Gobeyn, Bruno W. Mintz, Thomas Oosthuyse, Sebbe Stouten","doi":"arxiv-2409.07060","DOIUrl":"https://doi.org/arxiv-2409.07060","url":null,"abstract":"We reconsider four-dimensional scalar field theory in presence of Robin\u0000boundary conditions on two parallel plates. These boundary conditions are\u0000directly imposed in the path integral definition of the theory via auxiliary\u0000fields living on the plates. We discuss how this leads to boundary corrections\u0000to the standard energy momentum tensor operator. Via a dimensional reduction to\u0000an effective three-dimensional boundary theory, we compute the Casimir energy\u0000in terms of the plate separation and the two Robin parameters, as well as the\u0000scalar field propagator in the presence of the plates. Coincidentally, the\u0000boundary contribution vanishes in the expectation value for the vacuum energy,\u0000thereby giving results in full accordance with other energy expressions in the\u0000literature for the same setup. We also discuss for which values of the Robin\u0000parameters this energy is real-valued.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Poincare Invariance in Discrete Gravity 离散引力中的庞加莱不变性
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07536
Ali H. Chamseddine, Mariam Khaldieh
{"title":"Poincare Invariance in Discrete Gravity","authors":"Ali H. Chamseddine, Mariam Khaldieh","doi":"arxiv-2409.07536","DOIUrl":"https://doi.org/arxiv-2409.07536","url":null,"abstract":"A formulation of discrete gravity was recently proposed based on defining a\u0000lattice and a shift operator connecting the cells. Spinors on such a space will\u0000have rotational SO(d) invariance which is taken as the fundamental symmetry.\u0000Inspired by lattice QCD, discrete analogues of curvature and torsion were\u0000defined that go smoothly to the corresponding tensors in the continuous limit.\u0000In this paper, we show that the absence of diffeomorphism invariance could be\u0000replaced by requiring translational invariance in the tangent space by\u0000enlarging the tangent space from SO(d) to the inhomogeneous Lorentz group\u0000ISO(d) to include translations. We obtain the ISO(d) symmetry by taking instead\u0000the Lie group SO(d + 1) and to perform on it Inonu-Wigner contraction. We show\u0000that, just as for continuous spaces, the zero torsion constraint converts the\u0000translational parameter to a diffeomorphism parameter, thus explaining the\u0000effectiveness of this formulation.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"106 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unmixing sub-leading Regge trajectories of $mathcal{N} = 4$ Super-Yang-Mills 解除 $mathcal{N} = 4$ 超级杨-米尔斯的次引导雷格轨迹
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07529
Julius Julius, Nika Sergeevna Sokolova
{"title":"Unmixing sub-leading Regge trajectories of $mathcal{N} = 4$ Super-Yang-Mills","authors":"Julius Julius, Nika Sergeevna Sokolova","doi":"arxiv-2409.07529","DOIUrl":"https://doi.org/arxiv-2409.07529","url":null,"abstract":"We study the conformal field theory data (CFT-data) of planar 4D $mathcal{N}\u0000= 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime\u0000explores the physics of massive short strings in the flat-space limit of the\u0000dual AdS. We focus on the CFT-data of the massive short strings exchanged in\u0000the operator product expansion (OPE) of the four-point function dual to the\u0000Virasoro-Shapiro amplitude. This CFT-data arranges itself into Regge\u0000trajectories in the flat-space limit. Using inputs from recent advances in the\u0000computation of the AdS Virasoro-Shapiro amplitude, integrability, and a\u0000stipulation based on analyticity of the CFT-data in spin, we are able to fix\u0000all the CFT-data on the four unique sub-leading Regge trajectories, at leading\u0000non-trivial order, as a function of the string-mass level. One of our\u0000predictions is that one of the four unique sub-leading Regge trajectories\u0000decouples from the OPE in the flat-space limit. This hints at an emergent\u0000selection rule in the flat-space limit, similar to our previous results in\u0000arXiv:2310.06041. Our procedure should be applicable in a variety of similar\u0000setups like for the AdS Veneziano amplitude or in ABJM.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ellipsoidal Universe and Cosmic Shear 椭圆宇宙和宇宙剪切力
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07509
Luigi Tedesco
{"title":"Ellipsoidal Universe and Cosmic Shear","authors":"Luigi Tedesco","doi":"arxiv-2409.07509","DOIUrl":"https://doi.org/arxiv-2409.07509","url":null,"abstract":"We consider a Bianchi I geometry of the Universe. We obtain a cosmic shear\u0000expression related with the eccentricity of the Universe. In particular we\u0000study the connection among cosmic shear, eccentricity and CMB. The equation are\u0000self-contained with only two parameters.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes 重和对 $AdS$ 黑洞中迟滞格林函数和灰体因子的影响
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07370
Julián Barragán Amado, Shankhadeep Chakrabortty, Arpit Maurya
{"title":"The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes","authors":"Julián Barragán Amado, Shankhadeep Chakrabortty, Arpit Maurya","doi":"arxiv-2409.07370","DOIUrl":"https://doi.org/arxiv-2409.07370","url":null,"abstract":"We investigate the retarded Green's function and the greybody factor in\u0000asymptotically AdS black holes. Using the connection coefficients of the Heun\u0000equation, expressed in terms of the Nekrasov-Shatashvili (NS) free energy of an\u0000$SU(2)$ supersymmetric gauge theory with four fundamental hypermultiplets, we\u0000derive asymptotic expansions for both the retarded Green's function and the\u0000greybody factor in the small horizon limit. Furthermore, we compute the\u0000corrections to these asymptotic expansions resulting from the resummation\u0000procedure of the instanton part of the NS function.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flat space gravity at finite cutoff 有限截止时的平面空间引力
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07643
Batoul Banihashemi, Edgar Shaghoulian, Sanjit Shashi
{"title":"Flat space gravity at finite cutoff","authors":"Batoul Banihashemi, Edgar Shaghoulian, Sanjit Shashi","doi":"arxiv-2409.07643","DOIUrl":"https://doi.org/arxiv-2409.07643","url":null,"abstract":"We study the thermodynamics of Einstein gravity with vanishing cosmological\u0000constant subjected to conformal boundary conditions. Our focus is on comparing\u0000the series of subextensive terms to predictions from thermal effective field\u0000theory, with which we find agreement for the boundary theory on a spatial\u0000sphere, hyperbolic space, and flat space. We calculate the leading Wilson\u0000coefficients and observe that the first subextensive correction to the free\u0000energy is negative. This violates a conjectured bound on this coefficient in\u0000quantum field theory, which we interpret as a signal that gravity does not\u0000fully decouple in the putative boundary dual.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
From Feynman integrals to quantum algorithms: the Loop-Tree Duality connection 从费曼积分到量子算法：环树对偶关系
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07252
German Sborlini
{"title":"From Feynman integrals to quantum algorithms: the Loop-Tree Duality connection","authors":"German Sborlini","doi":"arxiv-2409.07252","DOIUrl":"https://doi.org/arxiv-2409.07252","url":null,"abstract":"In the context of high-energy particle physics, a reliable theory-experiment\u0000confrontation requires precise theoretical predictions. This translates into\u0000accessing higher-perturbative orders, and when we pursue this objective, we\u0000inevitably face the presence of complicated multi-loop Feynman integrals. There\u0000are serious bottlenecks to compute them with classical tools: the time to\u0000explore novel technologies has arrived. In this work, we study the\u0000implementation of quantum algorithms to optimize the integrands of scattering\u0000amplitudes. Our approach relies on the manifestly causal Loop-Tree Duality\u0000(LTD), which re-casts the loop integrand into phase-space integrals and avoids\u0000spurious non-physical singularities. Then, we codify this information in such a\u0000way that a quantum computer can understand the problem, and build Hamiltonians\u0000whose ground state are directly related to the causal representation. Promising\u0000results for generic families of multi-loop topologies are presented.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermodynamic Extremality in Power-law AdS Black Holes A Universal Perspective 幂律 AdS 黑洞中的热力学极端性 一个普遍的视角
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-11 DOI: arxiv-2409.07079
Ankit Anand
{"title":"Thermodynamic Extremality in Power-law AdS Black Holes A Universal Perspective","authors":"Ankit Anand","doi":"arxiv-2409.07079","DOIUrl":"https://doi.org/arxiv-2409.07079","url":null,"abstract":"This study investigates the universal relation between Goon and Penco (GP)\u0000proposed within the frameworks of Power-Maxwell, Power-Yang-Mills, and\u0000Maxwell-Power-Yang-Mills black holes. We begin by analyzing these black holes'\u0000thermodynamics and then calculating the perturbed metric and thermodynamic\u0000quantities by perturbing the action. Our objective is to examine the\u0000consistency of the GP relation across various power-law terms in the field\u0000equations, aiming to gain deeper insights into the nature of these black holes.\u0000The GP connection remains robust across different power spacetimes, indicating\u0000that this relation is a universal feature of black holes.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spin of Primordial Black Holes from Broad Power Spectrum: Radiation Dominated Universe 从宽功率谱看原始黑洞的自旋：辐射主导的宇宙
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-10 DOI: arxiv-2409.06494
Indra Kumar Banerjee, Tomohiro Harada
{"title":"Spin of Primordial Black Holes from Broad Power Spectrum: Radiation Dominated Universe","authors":"Indra Kumar Banerjee, Tomohiro Harada","doi":"arxiv-2409.06494","DOIUrl":"https://doi.org/arxiv-2409.06494","url":null,"abstract":"We perform a study to obtain the initial spin or the nondimensional Kerr\u0000parameter $a_{*}$ of primordial black holes (PBHs) created during the radiation\u0000dominated phase of the universe from not only nearly monochromatic but also\u0000broad curvature power spectra. Motivated by inflation and first-order phase\u0000transitions, we consider a power law shape for the curvature perturbation.\u0000Although we can naturally neglect the contribution from the length scales\u0000smaller than the scale of interest, that from the larger scales may potentially\u0000be significant for a broad power spectrum, for which the spin is sensitive to\u0000the width of the power spectrum. So, we introduce a width parameter $r_{k}$,\u0000the ratio of the largest scale to the length of interest. We find that the root\u0000mean square of $a_{*}$ is largest for PBHs created from locally nearly scale\u0000invariant curvature power spectra with $r_{k} sim 3.5$. The upper limit is\u0000$sim 1times 10^{-4}$ for $M=10^{17}-10^{23}$ g, $sim 1.7times 10^{-4}$ for $M=1-100 M_{odot}$ and $sim 2.5times 10^{-3}$\u0000even for an incredibly large mass of $M=10^{50}$ g.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The chiral torsional anomaly and the Nieh-Yan invariant with and without boundaries 有边界和无边界的手性扭转反常和聂扬不变量
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-10 DOI: arxiv-2409.06766
Johanna Erdmenger, Ioannis Matthaiakakis, René Meyer, Dmitri Vassilevich
{"title":"The chiral torsional anomaly and the Nieh-Yan invariant with and without boundaries","authors":"Johanna Erdmenger, Ioannis Matthaiakakis, René Meyer, Dmitri Vassilevich","doi":"arxiv-2409.06766","DOIUrl":"https://doi.org/arxiv-2409.06766","url":null,"abstract":"There exists a long-standing debate regarding the torsion contribution to the\u00004d chiral anomaly of a Dirac fermion. Central to this debate is the Nieh-Yan\u0000anomaly, which has been considered ill-defined and a regularization artifact.\u0000Using a heat-kernel approach, we examine the relationship between the Dirac\u0000operator index, the Nieh-Yan invariant and the torsional anomaly. We show the\u0000Nieh-Yan invariant vanishes on spacetimes without boundaries, if the Dirac\u0000index is well-defined. In the known examples of non-vanishing Nieh--Yan\u0000invariant on manifolds without boundaries, the heat kernel expansion breaks\u0000down, making the index ill-defined. Finally, for finite boundaries we identify\u0000several finite bulk and boundary anomaly terms, alongside bulk and boundary\u0000Nieh-Yan terms. We construct explicit counterterms that cancel the Nieh-Yan\u0000terms and argue that the boundary terms give rise to a torsional anomalous Hall\u0000effect. Our results emphasize the importance of renormalization conditions, as\u0000these can affect both the thermal and non-thermal Nieh-Yan anomaly\u0000coefficients. In addition, we demonstrate that anomalous torsional transport\u0000may arise even without relying on the Nieh-Yan invariant.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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