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The main objective of this paper is to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real time formalism of Thermofield…

High Energy Physics - Theory · Physics 2009-11-11 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

We study bosonisation in the massive Thirring and sine-Gordon models at finite temperature T and nonzero fermion chemical potential $\mu$. For that purpose we use both canonical operator and path integral approaches, paying particular…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gomez Nicola , D. A. Steer

We consider the perturbative computation of the N-point function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the N-point…

High Energy Physics - Theory · Physics 2014-11-18 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

We study bosonisation in the massive Thirring and sine-Gordon models at finite temperature and nonzero fermion chemical potential. Both canonical operator and path integral approaches are used to prove the equality of the partition…

High Energy Physics - Theory · Physics 2007-05-23 A. Gomez Nicola , R. J. Rivers , D. A. Steer

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 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

Thermodynamic properties of non-relativistic bosons and fermions in two spatial dimensions and without interactions are derived. All the virial coefficients are the same except for the second, for which the signs are opposite. This results…

High Energy Physics - Theory · Physics 2009-10-28 S. Viefers , F. Ravndal , T. Haugset

We discuss thermodynamic stability of neutral real (quantum) matter from the point of view of a computer experiment at finite, non-zero, temperature. We perform (restricted) path integral Monte Carlo simulations of the two component plasma…

Statistical Mechanics · Physics 2018-04-17 Riccardo Fantoni

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

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 solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

We study the twisted bosonization of massive Thirring model to relate to sine-Gordon model in Moyal spacetime using twisted commutation relations. We obtain the relevant twisted bosonization rules. We show that there exists dual rela-…

High Energy Physics - Theory · Physics 2012-08-06 Asrarul Haque , T. R. Govindarajan

A reformulation of the Thirring model as a gauge theory on both continuum spacetime and discretized lattice is reviewed. In (1+1) dimensions, our result reproduces consistently the bosonization of the massless Thirring model. In (2+1)…

High Energy Physics - Theory · Physics 2007-05-23 Yoonbai Kim

We develop a bosonization procedure on the half line. Different boundary conditions, formulated in terms of the vector and axial fermion currents, are implemented by using in general the mixed boundary condition on the bosonic field. The…

High Energy Physics - Theory · Physics 2009-10-30 Antonio Liguori , Mihail Mintchev

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

The Euclidian thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space is written as the real part of a complex analytic function of a variable that conformally maps the infinite strip…

High Energy Physics - Theory · Physics 2008-11-26 Leonardo Mondaini , E. C. Marino

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

Recently a new bosonization method has been used to derive, at zero fermion density, an effective action for relativistic field theories whose partition function is dominated by fermionic composites, chiral mesons in the case of QCD. This…

High Energy Physics - Lattice · Physics 2008-11-26 Fabrizio Palumbo

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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