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Related papers: Different Approaches for Bosonization in Higher Di…

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We develop a new approach for bosonization based on the direct comparison of current correlation functions and apply it to the case of the Massive Thirring Model in three dimensions in the weak coupling regime, but with an arbitrary mass.…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , E. C. Marino

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

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , E. C. Marino

Bosonization of the gauged, massive Thirring model in 2+1-dimensions produces a Maxwell-Chern-Simons gauge theory, coupled to a dynamical, massive vector field. Exploiting the Master Lagrangian formalism, two dual theories are constructed,…

High Energy Physics - Theory · Physics 2007-05-23 Subir Ghosh

We propose to use a novel master Lagrangian for performing the bosonization of the $D$-dimensional massive Thirring model in $D=d+1 \ge 2$ dimensions. It is shown that our master Lagrangian is able to relate the previous interpolating…

High Energy Physics - Theory · Physics 2009-10-28 Kenji Ikegami , Kei-ichi Kondo , Atsushi Nakamura

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

Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the $D$-dimensional multiflavor massive Thirring model $(D \ge 2)$ with four-fermion interaction of the current-current type. Our method…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo

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 propose and canonically quantize a generalization of the two-dimensional massive fermion theory described by a Lagrangian containing third-order derivatives. In our approach the mass term contains a derivative coupling. The quantum…

High Energy Physics - Theory · Physics 2007-05-23 C. G. Carvalhaes , L. V. Belvedere , R. L. P. G. Amaral , N. A. Lemos

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

I discuss in this talk a bosonization approach recently developed. It leads to the (exact) bosonization rule for fermion currents in d > 2 dimensions and also provides a systematic way of constructing the bosonic action in different…

High Energy Physics - Theory · Physics 2009-10-30 Fidel A. Schaposnik

A recently proposed path-integral bosonization scheme for massive fermions in $3$ dimensions is extended by keeping the full momentum-dependence of the one-loop vacuum polarization tensor. This makes it possible to discuss both the massive…

High Energy Physics - Theory · Physics 2009-10-28 D. G. Barcy , C. D. Fosco , L. E. Oxman

A functional integral approach is developed to discuss the bosonisation of the massive Thirring and the massive Schwinger models in arbitrary D-dimensions. It is found that these models, to {\it all} orders in the inverse fermi mass,…

High Energy Physics - Theory · Physics 2009-10-28 R. Banerjee

We develop a technique that solders the dual aspects of some symmetry following from the bosonisation of two distinct fermionic models, thereby leading to new results which cannot be otherwise obtained. Exploiting this technique, the two…

High Energy Physics - Theory · Physics 2016-09-06 R. Banerjee , C. Wotzasek

We show in three dimensions, using functional integral techniques, the equivalence between the partition functions of the massive Thirring model and a gauge theory with two gauge fields, to all orders in the inverse fermion mass. Detailed…

High Energy Physics - Theory · Physics 2009-10-28 R. Banerjee

Here we address the problem of bosonizing massive fermions without making expansions in the fermion masses in both massive $QED_2$ and $QED_3$ with $ N $ fermion flavors including also a Thirring coupling. We start from two point…

High Energy Physics - Theory · Physics 2009-11-10 D. Dalmazi , A. de Souza Dutra , Marcelo Hott

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

We discuss bosonization in three dimensions of an $SU(N)$ massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to $SU(N)$ Yang-Mills-Chern-Simons gauge theory. For free massive…

High Energy Physics - Theory · Physics 2016-09-06 Ninoslav Brali{ć} , Eduardo Fradkin , Virginia Manias , Fidel 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

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
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