Heat kernel methods for Lifshitz theories

We study the one-loop covariant effective action of Lifshitz theories using the heat kernel technique. The characteristic feature of Lifshitz theories is an anisotropic scaling between space and time. This is enforced by the existence of a preferred foliation of space-time, which breaks Lorentz inva...

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Detalles Bibliográficos
Publicado: 2017
Materias:
Classical Theories of Gravity
Effective Field Theories
Field Theories in Higher Dimensions
Renormalization Group
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n6_p_Barvinsky
http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n6_p_Barvinsky
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2017_n6_p_Barvinsky
record_format dspace
spelling paper:paper_11266708_v2017_n6_p_Barvinsky2023-06-08T16:08:54Z Heat kernel methods for Lifshitz theories Classical Theories of Gravity Effective Field Theories Field Theories in Higher Dimensions Renormalization Group We study the one-loop covariant effective action of Lifshitz theories using the heat kernel technique. The characteristic feature of Lifshitz theories is an anisotropic scaling between space and time. This is enforced by the existence of a preferred foliation of space-time, which breaks Lorentz invariance. In contrast to the relativistic case, covariant Lifshitz theories are only invariant under diffeomorphisms preserving the foliation structure. We develop a systematic method to reduce the calculation of the effective action for a generic Lifshitz operator to an algorithm acting on known results for relativistic operators. In addition, we present techniques that drastically simplify the calculation for operators with special properties. We demonstrate the efficiency of these methods by explicit applications. © 2017, The Author(s). 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n6_p_Barvinsky http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n6_p_Barvinsky
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Classical Theories of Gravity
Effective Field Theories
Field Theories in Higher Dimensions
Renormalization Group
spellingShingle Classical Theories of Gravity
Effective Field Theories
Field Theories in Higher Dimensions
Renormalization Group
Heat kernel methods for Lifshitz theories
topic_facet Classical Theories of Gravity
Effective Field Theories
Field Theories in Higher Dimensions
Renormalization Group
description We study the one-loop covariant effective action of Lifshitz theories using the heat kernel technique. The characteristic feature of Lifshitz theories is an anisotropic scaling between space and time. This is enforced by the existence of a preferred foliation of space-time, which breaks Lorentz invariance. In contrast to the relativistic case, covariant Lifshitz theories are only invariant under diffeomorphisms preserving the foliation structure. We develop a systematic method to reduce the calculation of the effective action for a generic Lifshitz operator to an algorithm acting on known results for relativistic operators. In addition, we present techniques that drastically simplify the calculation for operators with special properties. We demonstrate the efficiency of these methods by explicit applications. © 2017, The Author(s).
title Heat kernel methods for Lifshitz theories
title_short Heat kernel methods for Lifshitz theories
title_full Heat kernel methods for Lifshitz theories
title_fullStr Heat kernel methods for Lifshitz theories
title_full_unstemmed Heat kernel methods for Lifshitz theories
title_sort heat kernel methods for lifshitz theories
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n6_p_Barvinsky
http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n6_p_Barvinsky
_version_ 1768546760501755904

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