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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 perform the complete bosonization of 2+1 dimensional QED with one fermionic flavor in the Hamiltonian formalism. The Fermi operators are explicitly constructed in terms of the vector potential and the electric field. We carefully specify…

High Energy Physics - Theory · Physics 2015-06-26 A. Kovner , P. S. Kurzepa

It is shown that it is possible to bosonize fermions in any number of dimensions using the hydrodynamic variables, namely the velocity potential and density. The slow part of the Fermi field is defined irrespective of dimensionality and the…

Strongly Correlated Electrons · Physics 2009-11-11 Girish S. Setlur

Three-dimensional topological insulators can be described by an effective field theory involving two `hydrodynamic' Abelian gauge fields. The action contains a bulk topological BF term and a surface term, called loop model. This describes…

High Energy Physics - Theory · Physics 2024-06-05 Andrea Cappelli , Lorenzo Maffi , Riccardo Villa

We describe two distinct approaches for bosonization in higher dimensions; one is based on a direct comparison of current correlation functions while the other relies on a Master lagrangean formalism. These are used to bosonise the Massive…

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

General results on the structure of the bosonization of fermionic systems in $(2+1)$d are obtained. In particular, the universal character of the bosonized topological current is established and applied to generic fermionic current…

High Energy Physics - Theory · Physics 2008-11-26 D. G. Barci , L. E. Oxman , S. P. Sorella

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 formulate a complete path integral bosonization procedure for any fermionic theory in two dimensions. The method works equally well for massive and massless fermions, and is a generalization of an approach suggested earlier by Andrianov.…

High Energy Physics - Theory · Physics 2007-05-23 Jan B. Thomassen

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

We analyze the phenomenon of fermion pairing into an effective boson associated with anomalies and the anomalous commutators of currents bilinear in the fermion fields. In two spacetime dimensions the chiral bosonization of the Schwinger…

High Energy Physics - Theory · Physics 2015-01-09 Daniel N. Blaschke , Raúl Carballo-Rubio , Emil Mottola

I investigate bosonization in four dimensions, using the smooth bosonization scheme. I argue that generalized chiral ``phases'' of the fermion field corresponding to chiral phase rotations and ``chiral Poincare transformations'' are the…

High Energy Physics - Theory · Physics 2009-10-31 Jan B. Thomassen

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

We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liquids, we present some of the relations between bosonic and…

Strongly Correlated Electrons · Physics 2007-05-23 Sumathi Rao , Diptiman Sen

Using the recently discovered connection between bosonization and duality transformations (hep-th/9401105 and hep-th/9403173), we give an explicit path-integral representation for the bosonization of a massive fermion coupled to a U(1)…

High Energy Physics - Theory · Physics 2011-08-12 C. P. Burgess , C. A. Lütken , F. Quevedo

We construct transformations that decouple fermionic fields in interaction with a gauge field, in the path integral representation of the generating functional. Those transformations express the original fermionic fields in terms of…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , J. C. Le Guillou

We develop a method based on the generalised St\"uckelberg prescription for discussing bosonisation in the low energy regime of the SU(2) massive Thirring model in 2+1 dimensions. For arbitrary values of the coupling parameter the bosonised…

High Energy Physics - Theory · Physics 2015-06-26 N. Banerjee , R. Banerjee , S. Ghosh

We discuss recent results on bosonization in $d \geq 2$ space-time dimensions by giving a very simple derivation for the bosonic representation of the original free fermionic model both in the abelian and non-abelian cases. We carefully…

High Energy Physics - Theory · Physics 2009-10-28 F. Schaposnik

We establish a duality between massive fermions coupled to topologically massive gravity (TGM) in $d=3$ space-time dimensions and a purely gravity theory which also will turn out to be a TGM theory but with different parameters: the…

High Energy Physics - Theory · Physics 2015-06-18 Eduardo Fradkin , Enrique F. Moreno , Fidel A. Schaposnik

We derive the effective action for pseudoscalar mesons by integrating out vector and axial--vector collective fields in the generating functional of the bosonized NJL--model. The corresponding modifications of the nonlinear effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Bel'kov , A. V. Lanyov , A. Schaale

We present a path-integral bosonization approach for systems out of equilibrium based on a duality transformation of the original Dirac fermion theory combined with the Schwinger-Keldysh time closed contour technique, to handle the…

High Energy Physics - Theory · Physics 2015-06-22 R. E. Gamboa Saraví , C. M. Naón , F. A. Schaposnik