Nontrivial topology and the chiral Schwinger model

Journal Article · Mon Feb 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.1672· OSTI ID:6819159

Dias, S A ^[1]; Linhares, C A ^[2]

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1. Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud, 150, 22290 Rio de Janeiro, Rio de Janeiro (Brazil)
2. Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud, 150, 22290 Rio de Janeiro, Rio de Janeiro (Brazil) Instituto de Estudos Avancados, Centro Tecnico Aeroespacial, Rodovia dos Tamoios, km 5,5, 12231 Sao Jose dos Campos, Sao Paulo (Brazil)

We analyze the chiral Schwinger model in nontrivial topological sectors, performing its complete bosonization. In order to do this, we propose a prescription for evaluating the fermion determinant in the presence of the zero modes, valid for non-Hermitian Dirac operators, in general. By taking fermionic external sources into account in every step of the calculation, we discover a phase ambiguity which affects the effective action and can be used to render the result invariant with respect to particular choices of the topologically charged background configuration. Consistency requirements on the bosonization procedure fix the phase ambiguity and determine a unique value for the Jackiw-Rajaraman regularization parameter in all sectors with a nonzero topological charge. We thus find that nontrivial sectors have a null contribution to all fermionic correlation functions. Our method is also checked against the analogous results for the Schwinger model.

• OSTI ID: 6819159
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:4; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
CHIRALITY
COMPOSITE MODELS
CORRELATION FUNCTIONS
DIRAC OPERATORS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
RENORMALIZATION
STRING MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TOPOLOGY