New topological aspects of fermionic correlation functions in the Schwinger model

Journal Article · Tue May 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.3174· OSTI ID:6848143

Manriaaas, M V; Naon, C M; Trobo, M L ^[1]

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1. Departamento de Fisica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, c.c. 67, 1900 La Plata, Argentina (AR)

We perform the path-integral bosonization of the Schwinger model in a topologically nontrivial sector. We show the existence of certain fermionic correlation functions which, being zero if only the trivial topological sector is considered, develop nonzero values due to the presence of the topological configuration. We give explicit expressions for these Green's functions.

• OSTI ID: 6848143
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
CORRELATION FUNCTIONS
COUPLING CONSTANTS
ELECTRODYNAMICS
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
THIRRING MODEL
TOPOLOGY
TWO-DIMENSIONAL CALCULATIONS