No-go theorem for a gauge vector as a spacetime Goldstone mode

Remko Klein, Emanuel Malek, Diederik Roest, David Stefanyszyn

OnderzoeksoutputAcademicpeer review

10 Citaten (Scopus)
197 Downloads (Pure)


Scalars and fermions can arise as Goldstone modes of nonlinearly realized extensions of the Poincare group (with important implications for the soft limits of such theories): the Dirac-Born-Infeld scalar realizes 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 (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.

Originele taal-2English
Aantal pagina's6
TijdschriftPhysical Review D
Nummer van het tijdschrift6
StatusPublished - 4-sep.-2018

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