Titre du document

Flux-breaking in space-times with toroidal compactification

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Nom du Corpus

AstroConcepts

Auteur(s)
  • A. McLachlan
Affiliation(s)
  • Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Republic of Ireland
Résumé

The flux-breaking of gauge symmetries is examined in a Yang-Mills system minimally coupled to massless Dirac fermions on a space-time manifold of the form Rm × Td in which the residual symmetries are determined by minimising the one-loop effective potential with respect to the non-vanishing toroidal components of the classical background gauge field. Previous analysis for the one-torus case is reviewed (where the one-loop potential is expressible in terms of the polylogarithm function), and it is recalled that breaking of the gauge algebra can only occur if there exist fermions obeying periodic boundary conditions and transforming as a faithful, single-valued representation of the adjoint group. On extending to higher-dimensional tori, it is found that the potentials cannot be identified with known standard functions, but it is demonstrated explicitly that the same criterion for symmetry breaking still applies for the two-torus, and it is argued that this criterion should apply in all toroidal compactifications. Finally, the effects of replacing the fermions by complex scalars are discussed.

Langue(s) du document
Anglais
Année de publication
1980
Revue

Nuclear Physics, Section B

Éditeur
Elsevier
Type de publication
journal
Type de document
research-article
Présence de XML structuré
Non
Version de PDF
1.2
Score de qualité du texte
8.992
Nom du concept
  • Superstrings
Catégories Science-Metrix
  • 1 - natural sciences ; 2 - physics & astronomy ; 3 - nuclear & particles physics
Catégories Inist
  • 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - physique ; 4 - physique des particules elementaires et champs
Catégories Scopus
  • 1 - Physical Sciences ; 2 - Physics and Astronomy ; 3 - Nuclear and High Energy Physics
Catégories WoS
  • 1 - science ; 2 - physics, particles & fields
Identifiant ISTEX
194BF885B7F4FEC2C419CDF335E88520798FE000
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