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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 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

We analyze the universality of the bosonization rules in non-relativistic fermionic systems in $(2+1)d$. We show that, in the case of linear fermionic dispersion relations, a general fermionic theory can be mapped into a gauge theory in…

Strongly Correlated Electrons · Physics 2009-08-11 D. G. Barci , Cesar A. Linhares , J. F. Medeiros Neto , A. F. de Queiroz

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

The (1+1)-dimensional bosonization relations for fermionic mass terms are derived by choosing a specific gauge in an enlarged gauge-invariant theory containing both fermionic and bosonic fields. The fermionic part of the generating…

High Energy Physics - Theory · Physics 2009-10-22 P. H. Damgaard , H. B. Nielsen , R. Sollacher

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 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

QED with N species of massive fermions on a circle of circumference L is analyzed by bosonization. The problem is reduced to the quantum mechanics of the 2N fermionic and one gauge field zero modes on the circle, with nontrivial…

High Energy Physics - Theory · Physics 2016-09-06 J. E. Hetrick , Y. Hosotani , S. Iso

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

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

High Energy Physics - Theory · Physics 2009-10-22 A. Kovner , P. Kurzepa

Bosonization is normally thought of as a purely two-dimensional phenomenon, and generic field theories with fermions in D>2 are not expected be describable by local bosonic actions, except in some special cases. We point out that 3D SU(N)…

High Energy Physics - Theory · Physics 2015-06-11 Aleksey Cherman , Daniele Dorigoni

We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and…

High Energy Physics - Theory · Physics 2009-11-11 Alexios P. Polychronakos

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 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

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

We present a 2+1 dimensional quantum gauge theory with correlated fermions that is exactly solvable by bosonization. This model describes a system of Luttinger liquids propagating on two sets of equidistant lines forming a grid embedded in…

Strongly Correlated Electrons · Physics 2020-03-27 Jonas de Woul , Edwin Langmann

We address the problem of the bosonization of finite fermionic systems with two different approaches. First we work in the path integral formalism, showing how a truly bosonic effective action can be derived from a generic fermionic one…

Nuclear Theory · Physics 2007-05-23 Maria B. Barbaro , Maria R. Quaglia

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

We construct an explicit local operator realization that reproduces Dirac fermion correlation functions in three spacetime dimensions within an Abelian Chern-Simons framework and use it to examine the conjectured operator and deformation…

High Energy Physics - Theory · Physics 2026-02-25 Vaibhav Wasnik
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