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In this Note, we study bosonization of the noncommutative massive Thirring model in 2+1- dimensions. We show that, contrary to the duality between massive Thirring model and Maxwell-Chern-Simons model in ordinary spacetime, in the low…

High Energy Physics - Theory · Physics 2009-11-10 Subir Ghosh

We show that bosonization in two dimensions can be derived as a special case of the duality transformations that have recently been used to good effect in string theory. This allows the construction of the bosonic counterpart of any…

High Energy Physics - Theory · Physics 2009-10-28 C. P. Burgess , F. Quevedo

We study a massive Thirring-like model in 2-dimensional space-time, which contains two different species of fermions. This model is a field theoretical version of the quantum mechanical model originally proposed by Gl\"{o}ckle, Nogami and…

High Energy Physics - Theory · Physics 2009-10-31 Jiro Sakamoto , Yasunari Heike

Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized sine-Gordon model, both living in $1+1$-dimensional curved spacetime. Applying this duality we have shown that the Thirring…

High Energy Physics - Theory · Physics 2020-01-08 Subir Ghosh

Bosonization techniques are important nonperturbative tools in quantum field theory. In three dimensions they possess interesting connections to topologically ordered systems and ultimately have driven the observation of an impressive web…

High Energy Physics - Theory · Physics 2018-07-27 Carlos A. Hernaski , Pedro R. S. Gomes

In this work we provide a bosonized version of the Thirring model in 2+1 dimensions in the case of single fermion species, where we do not have the benefit of large N expansion. In this situation there are very few analytical methods to…

High Energy Physics - Theory · Physics 2020-04-15 Rodrigo Corso B. Santos , Pedro R. S. Gomes , Carlos A. Hernaski

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

We discuss bosonization of non-Hermitian PT invariant fermion models in $d=2$ space-time dimensions within the path-integral approach in which the generating functionals associated to the fermion and boson models can be related. We first…

High Energy Physics - Theory · Physics 2023-06-07 C. M. Naón , F. A. Schaposnik

In this work the bosonization of two-dimensional massive gauged Thirring model in the path-integral framework is presented. After completing the bosonization prescription, by the fermionic mass expansion, we perform an analysis of the…

High Energy Physics - Theory · Physics 2011-08-02 R. Bufalo , B. M. Pimentel

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding…

High Energy Physics - Theory · Physics 2009-10-28 E. Fradkin , F. A. Schaposnik

The authors reexamine the two-dimensional model of massive fermions interacting with a massless pseudoscalar field via axial-current-pseudoscalar derivative coupling. Performing a canonical field transformation on the Bose field algebra the…

High Energy Physics - Theory · Physics 2008-11-26 L. V. Belvedere , A. F. Rodrigues

By application of the general twist-induced star-deformation procedure we translate second quantization of a system of bosons/fermions on a symmetric spacetime in a non-commutative language. The procedure deforms in a coordinated way the…

High Energy Physics - Theory · Physics 2020-05-08 Gaetano Fiore

The generalized massive Thirring model (GMT) with $N_{f}$[=number of positive roots of $su(n)$] fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a generalized…

High Energy Physics - Theory · Physics 2007-05-23 Harold Blas

Bosonisation of the massive Thirring model, with a non-minimal and non-abelian gauging is studied in 2+1-dimensions. The static abelian model is solved completely in the large fermion mass limit and the spectrum is obtained. The non-abelian…

High Energy Physics - Theory · Physics 2016-09-06 Subir Ghosh

The generalized massive Thirring model (GMT) with three fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a generalized sine-Gordon model (GSG) with three…

High Energy Physics - Theory · Physics 2009-11-10 Harold Blas

In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an…

High Energy Physics - Theory · Physics 2012-09-28 Gaetano Fiore

The generalized massive Thirring model (GMT) with $N_{f}(=$number of positive roots of $su(n)$) fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a generalized…

High Energy Physics - Theory · Physics 2007-05-23 Harold Blas

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case.…

High Energy Physics - Theory · Physics 2007-05-23 Jiro Sakamoto , Yasuaki Fukuoka

We perform the path-integral bosonization of the recently proposed noncommutative massive Thirring model (NCMT$_{1}$) [JHEP0503(2005)037]. This model presents two types of current-current interaction terms related to the bi-fundamental…

High Energy Physics - Theory · Physics 2009-11-11 Harold Blas

We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular,…

High Energy Physics - Theory · Physics 2013-08-09 E. F. Moreno , F. A. Schaposnik
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