Heat kernel methods for Lifshitz theories
Abstract 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 Lor...
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2017-06-01
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Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)063 |
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doaj-d00f48987681451f8fc0248e08371f762020-11-25T00:55:58ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017613510.1007/JHEP06(2017)063Heat kernel methods for Lifshitz theoriesAndrei O. Barvinsky0Diego Blas1Mario Herrero-Valea2Dmitry V. Nesterov3Guillem Pérez-Nadal4Christian F. Steinwachs5Theory Department, Lebedev Physics InstituteTheoretical Physics Department, CERNInstitute of Physics, LPPC, École Polytechnique Fédérale de LausanneTheory Department, Lebedev Physics InstituteDepartamento de Física, FCEN, Universidad de Buenos AiresPhysikalisches Institut, Albert-Ludwigs-Universität FreiburgAbstract 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.http://link.springer.com/article/10.1007/JHEP06(2017)063Renormalization GroupField Theories in Higher DimensionsClassical Theories of GravityEffective Field Theories |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Andrei O. Barvinsky Diego Blas Mario Herrero-Valea Dmitry V. Nesterov Guillem Pérez-Nadal Christian F. Steinwachs |
spellingShingle |
Andrei O. Barvinsky Diego Blas Mario Herrero-Valea Dmitry V. Nesterov Guillem Pérez-Nadal Christian F. Steinwachs Heat kernel methods for Lifshitz theories Journal of High Energy Physics Renormalization Group Field Theories in Higher Dimensions Classical Theories of Gravity Effective Field Theories |
author_facet |
Andrei O. Barvinsky Diego Blas Mario Herrero-Valea Dmitry V. Nesterov Guillem Pérez-Nadal Christian F. Steinwachs |
author_sort |
Andrei O. Barvinsky |
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 |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-06-01 |
description |
Abstract 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. |
topic |
Renormalization Group Field Theories in Higher Dimensions Classical Theories of Gravity Effective Field Theories |
url |
http://link.springer.com/article/10.1007/JHEP06(2017)063 |
work_keys_str_mv |
AT andreiobarvinsky heatkernelmethodsforlifshitztheories AT diegoblas heatkernelmethodsforlifshitztheories AT marioherrerovalea heatkernelmethodsforlifshitztheories AT dmitryvnesterov heatkernelmethodsforlifshitztheories AT guillempereznadal heatkernelmethodsforlifshitztheories AT christianfsteinwachs heatkernelmethodsforlifshitztheories |
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1725228753805639680 |