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Renormalization of the Einstein-Cartan Theory in First-Order Form 一阶形式的爱因斯坦-卡尔坦理论重正化
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10493
F. T. Brandt, J. Frenkel, S. Martins-Filho, D. G. C. McKeon
{"title":"Renormalization of the Einstein-Cartan Theory in First-Order Form","authors":"F. T. Brandt, J. Frenkel, S. Martins-Filho, D. G. C. McKeon","doi":"arxiv-2409.10493","DOIUrl":"https://doi.org/arxiv-2409.10493","url":null,"abstract":"We examine the Einstein-Cartan (EC) theory in first-order form, which has a\u0000diffeomorphism as well as a local Lorentz invariance. We study the\u0000renormalizability of this theory in the framework of the Batalin-Vilkovisky\u0000formalism, which allows for a gauge invariant renormalization. Using the\u0000background field method, we discuss the gauge invariance of the background\u0000effective action and analyze the Ward identities which reflect the symmetries\u0000of the EC theory. As an application, we compute, in a general background gauge,\u0000the self-energy of the tetrad field at one-loop order.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251529","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 propagator field theory revisited: a Lorentz symmetry breaking approach 重访传播者场论:打破洛伦兹对称性的方法
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10313
R. Cartas-Fuentevilla, S. González-Salud, R. Bárcena-Ramos, J. Berra-Montiel
{"title":"The propagator field theory revisited: a Lorentz symmetry breaking approach","authors":"R. Cartas-Fuentevilla, S. González-Salud, R. Bárcena-Ramos, J. Berra-Montiel","doi":"arxiv-2409.10313","DOIUrl":"https://doi.org/arxiv-2409.10313","url":null,"abstract":"It is well known that the propagator for a massive scalar field is\u0000ill-defined in the coordinate space for $dgeq2$, in particular it diverges at\u0000the light-cone; we show that by using Lorentz symmetry breaking weighted\u0000measures, an infinite family of propagators can be constructed in an\u0000in-finite-simal strip near the light-cone, which are labeled by the weight of\u0000the measure; hence, the results will provide a finite quantum amplitude for a\u0000massive particle for propagating on the light-cone. The propagators regarded as\u0000smooth two-points functions, increase within a region smaller than the Compton\u0000wavelength, and decrease beyond that wavelength, and eventually drop off for\u0000large arguments. Although the time ordered propagators retain negative values\u0000regions for arbitrary values of the weight $s$ for the measures, the\u0000restriction $2<sleq d+1$ will guarantee the positivity for the amplitudes near\u0000the light cone.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"54 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251572","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
Theoretical Probes of Higgs-Axion non-perturbative Couplings 希格斯-橡子非微扰耦合的理论探测
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10709
V. K. Oikonomou
{"title":"Theoretical Probes of Higgs-Axion non-perturbative Couplings","authors":"V. K. Oikonomou","doi":"arxiv-2409.10709","DOIUrl":"https://doi.org/arxiv-2409.10709","url":null,"abstract":"In this work we investigate the phenomenological implications of several\u0000non-trivial axion-Higgs couplings, which cover most of the possible\u0000non-perturbative scenarios. Specifically we consider the combination of having\u0000higher order non-renormalizable Higgs-axion couplings originating from a weakly\u0000coupled effective theory combined with non-perturbative couplings of the form\u0000$sim epsilon Lambda_c^2|H|^2cos (frac{phi}{f_a})$. Since we consider the\u0000misalignment axion, the non-perturbative couplings can be expanded in the form\u0000of a perturbation expansion in powers of $phi/f_a$, thus after the electroweak\u0000symmetry breaking, the effective potential of the axion is drastically affected\u0000by these terms. We investigate the phenomenological implications of these terms\u0000for various values of the mass scale $Lambda_c$, and some scenarios are\u0000theoretically disfavored, while other scenarios with non-perturbative\u0000Higgs-axion couplings of the form $sim epsilon Lambda_c^2|H|^2cos\u0000(frac{phi}{f_a})$ with $Lambda_csim 10^{-10}times m_a$ and $m_asim\u000010^{-10},$eV, lead to a characteristic pattern in the stochastic gravitational\u0000wave background via the deformation of the background equation of state\u0000parameter occurring at frequencies probed by the Einstein Telescope. We also\u0000consider loop effects from the Higgs sector caused by the term $sim epsilon\u0000Lambda_c^2|H|^2cos (frac{phi}{f_a})$ if we close the Higgs in one loop.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251524","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
Reinforcement learning-based statistical search strategy for an axion model from flavor 基于强化学习的风味轴子模型统计搜索策略
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10023
Satsuki Nishimura, Coh Miyao, Hajime Otsuka
{"title":"Reinforcement learning-based statistical search strategy for an axion model from flavor","authors":"Satsuki Nishimura, Coh Miyao, Hajime Otsuka","doi":"arxiv-2409.10023","DOIUrl":"https://doi.org/arxiv-2409.10023","url":null,"abstract":"We propose a reinforcement learning-based search strategy to explore new\u0000physics beyond the Standard Model. The reinforcement learning, which is one of\u0000machine learning methods, is a powerful approach to find model parameters with\u0000phenomenological constraints. As a concrete example, we focus on a minimal\u0000axion model with a global $U(1)$ flavor symmetry. Agents of the learning\u0000succeed in finding $U(1)$ charge assignments of quarks and leptons solving the\u0000flavor and cosmological puzzles in the Standard Model, and find more than 150\u0000realistic solutions for the quark sector taking renormalization effects into\u0000account. For the solutions found by the reinforcement learning-based analysis,\u0000we discuss the sensitivity of future experiments for the detection of an axion\u0000which is a Nambu-Goldstone boson of the spontaneously broken $U(1)$. We also\u0000examine how fast the reinforcement learning-based searching method finds the\u0000best discrete parameters in comparison with conventional optimization methods.\u0000In conclusion, the efficient parameter search based on the reinforcement\u0000learning-based strategy enables us to perform a statistical analysis of the\u0000vast parameter space associated with the axion model from flavor.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251558","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
Non-perturbative approach for scalar particle production in Higgs-$R^2$ inflation 希格斯-$R^2$膨胀中标量粒子产生的非微扰方法
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.09999
Flavio Pineda, Luis O. Pimentel
{"title":"Non-perturbative approach for scalar particle production in Higgs-$R^2$ inflation","authors":"Flavio Pineda, Luis O. Pimentel","doi":"arxiv-2409.09999","DOIUrl":"https://doi.org/arxiv-2409.09999","url":null,"abstract":"We investigate the non-perturbative production of scalar particles within the\u0000Higgs-$R^2$ inflation model, focusing on a massive spectator field that\u0000interacts gravitationally via a non-minimal coupling to the Ricci scalar $R$.\u0000By transforming the model to the Einstein frame, where direct couplings between\u0000inflationary dynamics and the spectator field emerge, we analyze both\u0000perturbative and non-perturbative particle production. We solve the spectator\u0000field equation numerically, using the Bogolyubov transformation, to calculate\u0000the comoving particle density. Our findings indicate that particle production\u0000occurs for light particles with conformal coupling and for masses $m_chi >\u0000M/2$ in the minimally coupled scenario.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251535","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
New shape for cross-bispectra in Chern-Simons gravity 切尔-西蒙斯引力中交叉谱的新形状
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.09935
Perseas Christodoulidis, Jinn-Ouk Gong, Wei-Chen Lin, Maria Mylova, Misao Sasaki
{"title":"New shape for cross-bispectra in Chern-Simons gravity","authors":"Perseas Christodoulidis, Jinn-Ouk Gong, Wei-Chen Lin, Maria Mylova, Misao Sasaki","doi":"arxiv-2409.09935","DOIUrl":"https://doi.org/arxiv-2409.09935","url":null,"abstract":"Chern-Simons gravity is known to suffer from graviton ghost production during\u0000inflation, which suppresses the parity-violating power spectrum at scales\u0000relevant to cosmic microwave background observations. In this work, we show\u0000that allowing the initial conditions of inflation to deviate from the standard\u0000Bunch-Davies state can enhance parity-violating non-Gaussianity in the\u0000scalar-tensor cross-bispectra. Our results reveal a significant additional\u0000contribution to the cross-bispectra in the flattened configuration, offering a\u0000new avenue to constrain parity-violating gravity.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251678","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
Leading Twist-Two Gauge-Variant Counterterms 前捻--两个量纲变量反项
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10303
Thomas Gehrmann, Andreas von Manteuffel, Tong-Zhi Yang
{"title":"Leading Twist-Two Gauge-Variant Counterterms","authors":"Thomas Gehrmann, Andreas von Manteuffel, Tong-Zhi Yang","doi":"arxiv-2409.10303","DOIUrl":"https://doi.org/arxiv-2409.10303","url":null,"abstract":"Anomalous dimensions of twist-two operators govern the scale evolution of\u0000parton distribution functions. For off-shell external states, the physical\u0000twist-two operators mix with unknown gauge-variant operators under\u0000renormalization. In this talk, we apply the method proposed by us\u0000in~cite{Gehrmann:2023ksf} to compute all gauge-variant one-loop counterterm\u0000Feynman rules with five legs, which enter the determination of the four-loop\u0000splitting functions in QCD.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251557","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
Packaging particles in curved spacetimes 在弯曲时空中包装粒子
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10133
Jesse Huhtala, Iiro Vilja
{"title":"Packaging particles in curved spacetimes","authors":"Jesse Huhtala, Iiro Vilja","doi":"arxiv-2409.10133","DOIUrl":"https://doi.org/arxiv-2409.10133","url":null,"abstract":"Scattering calculations in curved spacetime are technically complicated and,\u0000in the case of a general spacetime metric, quite impossible. Even in the cases\u0000where perturbative scattering calculations can be done one has to be careful\u0000about what kind of particles are sensible to measure. Curved spacetime quantum\u0000field theories are then less conceptually clear than those in flat spacetime.\u0000In this article, we investigate an aspect of this conceptual confusion - the\u0000use of wave packets in defining the S-matrix. Wave packets are used in most\u0000standard textbook treatments to construct particle states and remove certain\u0000singularities in the definition of the S-matrix. We show that this method does\u0000not completely work in curved spacetimes first in a general way and then by way\u0000of a specific model. We also discuss related effects and suggest a method for\u0000doing curved spacetime scattering calculations. Our conclusion is that the most\u0000general method for scattering calculations in curved spacetimes requires the\u0000use of wave packets, which are typically absent in the literature.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251669","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 random free field scalar theory 随机自由场标量理论
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10608
Alessandro Piazza, Marco Serone, Emilio Trevisani
{"title":"The random free field scalar theory","authors":"Alessandro Piazza, Marco Serone, Emilio Trevisani","doi":"arxiv-2409.10608","DOIUrl":"https://doi.org/arxiv-2409.10608","url":null,"abstract":"Quantum field theories with quenched disorder are so hard to study that even\u0000exactly solvable free theories present puzzling aspects. We consider a free\u0000scalar field $phi$ in $d$ dimensions coupled to a random source $h$ with\u0000quenched disorder. Despite the presence of a mass scale governing the disorder\u0000distribution, we derive a new description of the theory that allows us to show\u0000that the theory is gapless and invariant under conformal symmetry, which acts\u0000in a non-trivial way on $phi$ and $h$. This manifest CFT description reveals\u0000the presence of exotic continuous symmetries, such as nilpotent bosonic ones,\u0000in the quenched theory. We also reconsider Cardy's CFT description defined\u0000through the replica trick. In this description, the nilpotent symmetries reveal\u0000a striking resemblance with Parisi-Sourlas supersymmetries. We provide explicit\u0000maps of correlation functions between such CFTs and the original quenched\u0000theory. The maps are non-trivial and show that conformal behaviour is manifest\u0000only when considering suitable linear combinations of averages of products of\u0000correlators. We also briefly discuss how familiar notions like normal ordering\u0000of composite operators and OPE can be generalized in the presence of the more\u0000complicated local observables in the quenched theory.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251516","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
Complex Saddles of Truncated String Amplitudes 截断弦振幅的复鞍座
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2024-09-16 DOI: arxiv-2409.10241
Takuya Yoda
{"title":"Complex Saddles of Truncated String Amplitudes","authors":"Takuya Yoda","doi":"arxiv-2409.10241","DOIUrl":"https://doi.org/arxiv-2409.10241","url":null,"abstract":"String scattering amplitudes in the high energy asymptotic region have been\u0000studied by saddle point approximation. Recently, it was pointed out that\u0000infinitely many complex saddles contribute to string amplitudes even at\u0000tree-level after redefining the original formal integration contour so that the\u0000new contour analytically continues amplitudes appropriately. It is a\u0000challenging problem to identify which saddles contribute to higher genus\u0000corrections of string amplitudes. In this paper, we construct QFT toy models\u0000which have the same infinite mass tower as string amplitudes but ignoring\u0000degeneracies. Their higher loop Feynman diagrams are evaluated by identifying\u0000their contributing complex saddles. We find that the saddles associated with\u0000infinitely many stringy excitations provide highly oscillatory terms to the\u0000amplitudes. We conjecture that string amplitudes, as functions of momenta,\u0000approach multi-fractal functions in the high energy asymptotic regions if\u0000higher genus contributions are fully included. Their fractal dimensions should\u0000be determined purely by the type of string theory and the spacetime dimension\u0000where string scatterings occur.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"29 22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251530","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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