Perturbative bosonization from two-point correlation functions

• Autor(a) principal: Dalmazi, D. [UNESP]
• Data de Publicação: 2003
• Outros Autores: Souza Dutra, A. [UNESP], Hott, Marcelo [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevD.67.125012; http://hdl.handle.net/11449/231717

Here we address the problem of bosonizing massive fermions without making expansions in the fermion masses in both massive [Formula Presented] and [Formula Presented] with N fermion flavors including also a Thirring coupling. We start from two-point correlators involving the [Formula Presented] fermionic current and the gauge field. From the tensor structure of those correlators we prove that the [Formula Presented] current must be identically conserved (topological) in the corresponding bosonized theory in both [Formula Presented] and [Formula Presented] dimensions. We find an effective generating functional in terms of bosonic fields which reproduces these two-point correlators and from that we obtain a map of the Lagrangian density [Formula Presented][Formula Presented] into a bosonic one in both dimensions. This map is nonlocal but it is independent of the electromagnetic and Thirring couplings, at least in the quadratic approximation for the fermionic determinant. © 2003 The American Physical Society.