New heat kernel method in Lifshitz theories
| Autor: | Charles M. Melby-Thompson, Kevin T. Grosvenor, Ziqi Yan |
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| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Scalar field theory Field (physics) Conformal anomaly Scalar (mathematics) FOS: Physical sciences Deterministic dynamics General Relativity and Quantum Cosmology (gr-qc) QC770-798 01 natural sciences General Relativity and Quantum Cosmology Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Models of Quantum Gravity Covariant transformation Renormalization Group Differential and Algebraic Geometry Anomalies in Field and String Theories 010306 general physics Effective action Heat kernel Mathematical Physics Mathematical physics Physics 010308 nuclear & particles physics Mathematical Physics (math-ph) Renormalization group High Energy Physics - Theory (hep-th) |
| Zdroj: | Journal of high energy physics Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-42 (2021) Journal of High Energy Physics |
| Popis: | We develop a new heat kernel method that is suited for a systematic study of the renormalization group flow in Horava gravity (and in Lifshitz field theories in general). This method maintains covariance at all stages of the calculation, which is achieved by introducing a generalized Fourier transform covariant with respect to the nonrelativistic background spacetime. As a first test, we apply this method to compute the anisotropic Weyl anomaly for a (2+1)-dimensional scalar field theory around a z=2 Lifshitz point and corroborate the previously found result. We then proceed to general scalar operators and evaluate their one-loop effective action. The covariant heat kernel method that we develop also directly applies to operators with spin structures in arbitrary dimensions. 47 pages, 1 figure; v2: appendix C updated, minor typos corrected, references added; v3: typos fixed |
| Databáze: | OpenAIRE |
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