HILBERT SPACE OF ISOMORPHIC REPRESENTATIONS OF BOSONIZED CHIRAL QCD2

LV Belvedere, R Do Amaral… - International Journal of …, 1999 - World Scientific
We analyze the Hilbert space structure of the isomorphic gauge noninvariant and gauge-
invariant bosonized formulations of chiral QCD 2 for the particular case of the Jackiw …

Functional integral formulation of the Thirring model with two fermion species

LV Belvedere, R Amaral - Physical Review D, 2000 - APS
A two-dimensional Abelian model with quartic interaction among two species of Fermi fields
is analyzed through a functional integral formulation. We consider the bosonization of the …

BFFT formalism applied to the minimal chiral Schwinger model

CP Natividade, H Boschi-Filho… - Modern Physics Letters …, 2004 - World Scientific
We consider the minimal chiral Schwinger model, by embedding the gauge non-invariant
formulation into a gauge theory following the Batalin–Fradkin–Fradkina–Tyutin point of view …

The Thirring interaction in the two-dimensional axial–current–pseudoscalar derivative coupling model

LV Belvedere, AF Rodrigues - Annals of Physics, 2006 - Elsevier
We reexamine the two-dimensional model of massive fermions interacting with a massless
pseudoscalar field via axial-current derivative coupling. The hidden Thirring interaction in …

Structural aspects of the fermion-boson mapping in two-dimensional gauge and anomalous gauge theories with massive fermions

LV Belvedere, A de Souza Dutra, CP Natividade… - Annals of Physics, 2002 - Elsevier
Using a synthesis of the functional integral and operator approaches we discuss the fermion-
boson mapping and the role played by the Bose field algebra in the Hilbert space of two …

Functional integral approach of the two-dimensional massive fermion model with Thirring interaction among different species

LV Belvedere, AF Rodrigues - Journal of Physics A: Mathematical …, 2008 - iopscience.iop.org
We use the Abelian reduction of the Wess–Zumino–Witten theory to perform the functional
integral bosonization of the two-dimensional fermion model with Thirring interaction among …

A new picture on the (3+ 1) D topological mass mechanism

OS Ventura, R Amaral, JV Costa… - Journal of Physics A …, 2004 - iopscience.iop.org
We present a class of mappings between the fields of the Cremmer–Sherk and pure BF
models in 4D. These mappings are established by two distinct procedures. First, a mapping …

Point-coupling Models from Mesonic Hypermassive Limit and Mean-field Approaches

O Lourenço, M Dutra, R Amaral, A Delfino - Brazilian Journal of Physics, 2012 - Springer
In this work, we show how nonlinear point-coupling models, described by a Lagrangian
density containing only terms up to fourth order in the fermion condensate (̄ψψ), are …

Partition functions of chiral gauge theories on the two dimensional torus and their duality properties

L Griguolo, D Seminara - Physics Letters B, 1998 - Elsevier
Two different families of abelian chiral gauge theories on the torus are investigated: the aim
is to test the consistency of two-dimensional anomalous gauge theories in the presence of …

Topological mass mechanism and exact fields mapping

R Amaral, OS Ventura, LO Buffon… - Journal of Physics A …, 2006 - iopscience.iop.org
We present a class of mappings between models with topological mass mechanism and
purely topological models in arbitrary dimensions. These mappings are established by …