A No-go Theorem for a Gauge Vector as a Space-time Goldstone

Scalars and fermions can arise as Goldstone modes of nonlinearly realized extensions of the Poincaré group (with important implications for the soft limits of such theories): the Dirac-Born-Infeld scalar realizes a higher-dimensional Poincaré symmetry, while the Volkov-Akulov fermion corresponds to...

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Detalles Bibliográficos
Autores principales: Klein, Remko, Malek, Emanuel, Roest, Diederik, Stefanyszyn, David
Lenguaje:eng
Publicado: 2018
Materias:
gr-qc
General Relativity and Cosmology
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.98.065001
http://cds.cern.ch/record/2630205
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author Klein, Remko
Malek, Emanuel
Roest, Diederik
Stefanyszyn, David
author_facet Klein, Remko
Malek, Emanuel
Roest, Diederik
Stefanyszyn, David
author_sort Klein, Remko
collection CERN
description Scalars and fermions can arise as Goldstone modes of nonlinearly realized extensions of the Poincaré group (with important implications for the soft limits of such theories): the Dirac-Born-Infeld scalar realizes a higher-dimensional Poincaré symmetry, while the Volkov-Akulov fermion corresponds to super-Poincaré. In this paper we classify extensions of the Poincaré group which give rise to a vector Goldstone mode instead. Our main result is that there are no healthy (ghost free) interacting U(1) gauge theories that nonlinearly realize space-time symmetries beyond gauge transformations. This implies that the structure of e.g., Born-Infeld theory is not fixed by symmetry.
id cern-2630205
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
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spelling cern-26302052023-10-04T06:34:02Zdoi:10.1103/PhysRevD.98.065001http://cds.cern.ch/record/2630205engKlein, RemkoMalek, EmanuelRoest, DiederikStefanyszyn, DavidA No-go Theorem for a Gauge Vector as a Space-time Goldstonegr-qcGeneral Relativity and Cosmologyhep-thParticle Physics - TheoryScalars and fermions can arise as Goldstone modes of nonlinearly realized extensions of the Poincaré group (with important implications for the soft limits of such theories): the Dirac-Born-Infeld scalar realizes a higher-dimensional Poincaré symmetry, while the Volkov-Akulov fermion corresponds to super-Poincaré. In this paper we classify extensions of the Poincaré group which give rise to a vector Goldstone mode instead. Our main result is that there are no healthy (ghost free) interacting U(1) gauge theories that nonlinearly realize space-time symmetries beyond gauge transformations. This implies that the structure of e.g., Born-Infeld theory is not fixed by symmetry.Scalars and fermions can arise as Goldstone modes of non-linearly realised extensions of the Poincare group (with important implications for the soft limits of such theories): the Dirac-Born-Infeld scalar realises a higher-dimensional Poincare symmetry, while the Volkov-Akulov fermion corresponds to super-Poincare. In this paper we classify extensions of the Poincare group which give rise to a vector Goldstone mode instead. Our main result is that there are no healthy interacting $U(1)$ gauge theories that non-linearly realise space-time symmetries beyond gauge transformations. This implies that the special soft limits of e.g. the Born-Infeld vector cannot be explained by space-time symmetries.arXiv:1806.06862LMU-ASC-30-18CERN-TH-2018-143LMU-ASC 30/18oai:cds.cern.ch:26302052018-06-18
spellingShingle gr-qc
General Relativity and Cosmology
hep-th
Particle Physics - Theory
Klein, Remko
Malek, Emanuel
Roest, Diederik
Stefanyszyn, David
A No-go Theorem for a Gauge Vector as a Space-time Goldstone
title A No-go Theorem for a Gauge Vector as a Space-time Goldstone
title_full A No-go Theorem for a Gauge Vector as a Space-time Goldstone
title_fullStr A No-go Theorem for a Gauge Vector as a Space-time Goldstone
title_full_unstemmed A No-go Theorem for a Gauge Vector as a Space-time Goldstone
title_short A No-go Theorem for a Gauge Vector as a Space-time Goldstone
title_sort no-go theorem for a gauge vector as a space-time goldstone
topic gr-qc
General Relativity and Cosmology
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.98.065001
http://cds.cern.ch/record/2630205
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