Matter one-loop logarithms and homogeneous TTNC scale response of Lifshitz black branes

[2605.18790] Matter one-loop logarithms and homogeneous TTNC scale response of Lifshitz black branes Skip to main content Search Submit Donate Log in High Energy Physics - Theory arXiv:2605.18790 (hep-th) [Submitted on 8 May 2026 ( v1 ), last revised 5 Jun 2026 (this version, v2)] Title: Matter one-loop logarithms and homogeneous TTNC scale response of Lifshitz black branes Authors: Yingnan Xu , Shuangshuang Chu View PDF HTML (experimental) Abstract: We compute the logarithmic one-loop matter contribution to the thermodynamics and homogeneous twistless torsional Newton--Cartan scale response of a four-dimensional Lifshitz black brane. The background is the neutral planar member of the analytic Einstein--Maxwell--dilaton Lifshitz black-brane family, while the quantum fields are treated as probes: a real scalar with arbitrary mass and nonminimal curvature coupling, a four-component Dirac spinor, and an Abelian Maxwell field with its Faddeev--Popov ghosts. For each spin sector, the logarithmic coefficient separates into a smooth radial heat-kernel contribution, governed by $\calC_1$, and a horizon-localized conical contribution, governed by $\calW_h$. This separation identifies which part of the matter one-loop logarithm is visible in the boundary Lifshitz/TTNC Ward identity and which part instead belongs to horizon replica entropy. The smooth coefficient $\calC_1$ controls the source-induced homogeneous projection of the TTNC Weyl Ward identity, namely the smooth boundary-source contribution to the Ward combination $z\epsilon-2p$, whereas the thermodynamic logarithmic entropy is controlled by $\calC_{\rm therm}=\calC_1+zL^2\calW_h$. We give closed expressions for $\calC_1$, $\calW_h$, and $\calC_{\rm therm}$ for the scalar, Dirac, and Maxwell probe sectors, identify the gauge-field contact contribution in the conical entropy, and verify that the smooth source response vanishes in the relativistic planar $z=1$ limit while the standard horizon heat-kernel entropy coefficient remains. Comments: 12 pages, revised version submitted to CQG Subjects: High Energy Physics - Theory (hep-th) Cite as: arXiv:2605.18790 [hep-th] (or arXiv:2605.18790v2 [hep-th] for this version) https://doi.org/10.48550/arXiv.2605.18790 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Class.Quant.Grav. 43 (2026) 13, 135015 Related DOI : https://doi.org/10.1088/1361-6382/ae8117 Focus to learn more DOI(s) linking to related resources Submission history From: Yingnan Xu [ view email ] [v1] Fri, 8 May 2026 02:02:15 UTC (22 KB) [v2] Fri, 5 Jun 2026 01:46:29 UTC (27 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2026-05 References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from (opens in new tab) (opens in new tab) (opens in new tab)

Related documents

• Matter one-loop logarithms and homogeneous TTNC scale response of Lifshitz black branes#677606
• Dimensional Gates and Arithmetic Constants#695697
• Resolution to Galaxy Rotation Curves, Tully-Fisher, Radial Acceleration Relation, and Missing Satellites: Cosmological Coda V of the Principia Cybernetica#108956
• archaeon#1071753
• Gravitational Waves from Long Strings and Loops#1037113