Gauge vacua in Yang-Mills--Chern-Simons theory on tori and projective spaces

Journal Article · Fri Mar 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1956· OSTI ID:5753707

Burgess, M; McLachlan, A; Toms, D J ^[1]

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1. Department of Physics, University of Newcastle Upon Tyne, Newcastle Upon Tyne NE17RU, United Kingdom (US)

We consider the addition of a Chern-Simons action to non-Abelian gauge theories at one-loop order. It is found that the topological mass acquired by the gauge field tends to promote the breaking of gauge symmetries on spacetimes with a toroidal compactification, provided suitable matter is present, but tends to suppress breaking on the sphere. When all matter fields are massless, there is an infinity of critical geometries for the torus which mark the line between broken and unbroken symmetry. A critical value of the curvature is found, for fixed mass, in the case of the two-sphere, but the behavior of the effective potential, with respect to the dimensionless parameter mass times radius, will be complex in general, since mass and radius have opposing effects.

• OSTI ID: 5753707
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CORRECTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MASS
RADIATIVE CORRECTIONS
SPACE-TIME
SYMMETRY BREAKING
VACUUM STATES
YANG-MILLS THEORY