Instantons in (1 + 1) -dimensional Abelian gauge theories

Journal Article · Tue Aug 15 00:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.1154· OSTI ID:7046979

Raby, S; Ukawa, A

We study the Abelian Higgs model in 1 + 1 dimensions with the addition of a fermion of arbitrary charge g to understand the effect of instantons on the gauge and chiral structure of the model. Semiclassical approximations are used assuming a small instanton density. Without fermions, the global gauge symmetry is found to be restored, resulting in a linearly rising potential between static charges ( +- Q) and a complete screening of integral charges (Q/e = integer with e the scalar charge). This gauge structure persists with the addition of a massive fermion. The spectrum of fermion bound states and the stability of the theta vacuums are discussed. For a massless fermion, the gauge symmetry is spontaneously broken. We explicitly show that the chiral symmetry is also spontaneously broken, but that the Nambu-Goldstone pole decouples from the gauge-invariant sector of the theory.

• Research Organization: Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853
• OSTI ID: 7046979
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
HIGGS MODEL
INSTANTONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
PROPAGATOR
QUARK MODEL
QUASI PARTICLES
SPACE-TIME
SYMMETRY
SYMMETRY BREAKING
VACUUM STATES