Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *

We revisit the computation of the trace anomaly for Weyl fermions using dimensional regularization. For a consistent treatment of the chiral gamma matrix γ* in dimensional regularization, we work in n dimensions from the very beginning and use the Breitenlohner-Maison scheme to define γ*. We show th...

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Detalles Bibliográficos
Autores principales: Abdallah, S., Franchino Viñas, Sebastián A., Fröb, Markus B.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
Anomalies in field and string theories
Global symmetries
Space-time symmetries
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123811
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123811
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Anomalies in field and string theories
Global symmetries
Space-time symmetries
spellingShingle Física
Anomalies in field and string theories
Global symmetries
Space-time symmetries
Abdallah, S.
Franchino Viñas, Sebastián A.
Fröb, Markus B.
Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *
topic_facet Física
Anomalies in field and string theories
Global symmetries
Space-time symmetries
description We revisit the computation of the trace anomaly for Weyl fermions using dimensional regularization. For a consistent treatment of the chiral gamma matrix γ* in dimensional regularization, we work in n dimensions from the very beginning and use the Breitenlohner-Maison scheme to define γ*. We show that the parity-odd contribution to the trace anomaly vanishes (for which the use of dimension-dependent identities is crucial), and that the parity-even contribution is half the one of a Dirac fermion. To arrive at this result, we compute the full renormalized expectation value of the fermion stress tensor to second order in perturbations around Minkowski spacetime, and also show that it is conserved.
format Articulo
Preprint
author Abdallah, S.
Franchino Viñas, Sebastián A.
Fröb, Markus B.
author_facet Abdallah, S.
Franchino Viñas, Sebastián A.
Fröb, Markus B.
author_sort Abdallah, S.
title Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *
title_short Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *
title_full Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *
title_fullStr Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *
title_full_unstemmed Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ *
title_sort trace anomaly for weyl fermions using the breitenlohner-maison scheme for γ *
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/123811
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