Nota de FísicaPublicado
Non-Trivial Topology and the Chiral Schwinger Model
Sebastião Alves Dias; C.A. Linhares
1992
Dados da publicação
- Autores
- Sebastião Alves Dias; C.A. Linhares
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1992
- Descrição
- We analyze the chiral Schwinger model in non-trivial 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 non-zero topological charge. We thus find that non-trivial sectors have a null contribution to all fermionic correlation functions. Our method is also checked against the analogous results for the Schwinger model.
- Ano
- 1992
- Número
- CBPF-NF-023/92
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não