Conformal anomaly for non-conformal scalar fields

We give a general definition of the conformal anomaly for theories that are not classically Weyl invariant and show that this definition yields a quantity that is both finite and local. As an example we study the conformal anomaly for a non-minimally coupled massless scalar and show that our definit...

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Main Authors: Lorenzo Casarin, Hadi Godazgar, Hermann Nicolai
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318308049
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author Lorenzo Casarin
Hadi Godazgar
Hermann Nicolai
author_facet Lorenzo Casarin
Hadi Godazgar
Hermann Nicolai
author_sort Lorenzo Casarin
collection DOAJ
description We give a general definition of the conformal anomaly for theories that are not classically Weyl invariant and show that this definition yields a quantity that is both finite and local. As an example we study the conformal anomaly for a non-minimally coupled massless scalar and show that our definition coincides with results obtained using the heat kernel method.
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spelling doaj.art-4fe108e3e98f45f181717ad8aab93e262022-12-21T19:27:43ZengElsevierPhysics Letters B0370-26932018-12-017879499Conformal anomaly for non-conformal scalar fieldsLorenzo Casarin0Hadi Godazgar1Hermann Nicolai2Corresponding author.; Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476 Potsdam, GermanyMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476 Potsdam, GermanyMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476 Potsdam, GermanyWe give a general definition of the conformal anomaly for theories that are not classically Weyl invariant and show that this definition yields a quantity that is both finite and local. As an example we study the conformal anomaly for a non-minimally coupled massless scalar and show that our definition coincides with results obtained using the heat kernel method.http://www.sciencedirect.com/science/article/pii/S0370269318308049
spellingShingle Lorenzo Casarin
Hadi Godazgar
Hermann Nicolai
Conformal anomaly for non-conformal scalar fields
Physics Letters B
title Conformal anomaly for non-conformal scalar fields
title_full Conformal anomaly for non-conformal scalar fields
title_fullStr Conformal anomaly for non-conformal scalar fields
title_full_unstemmed Conformal anomaly for non-conformal scalar fields
title_short Conformal anomaly for non-conformal scalar fields
title_sort conformal anomaly for non conformal scalar fields
url http://www.sciencedirect.com/science/article/pii/S0370269318308049
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AT hadigodazgar conformalanomalyfornonconformalscalarfields
AT hermannnicolai conformalanomalyfornonconformalscalarfields