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We study, through path-integral methods, an extension of the massive Thirring model in which the interaction between currents is non-local. By examining the mass-expansion of the partition function we show that this non-local massive…

高能物理 - 理论 · 物理学 2008-11-26 Kang Li , Carlos Naon

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…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Gomez Nicola , D. A. Steer

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…

高能物理 - 理论 · 物理学 2007-05-23 A. Gomez Nicola , R. J. Rivers , D. A. Steer

We investigate the equivalence between Thirring model and sine-Gordon model in the chirally broken phase of the Thirring model. This is unlike all other available approaches where the fermion fields of the Thirring model were quantized in…

高能物理 - 理论 · 物理学 2009-01-07 M. Faber , A. N. Ivanov

We prove the Coleman's conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.

高能物理 - 理论 · 物理学 2010-01-29 G. Benfatto , P. Falco , V. Mastropietro

We extend a recently proposed non-local and non-covariant version of the Thirring model to the finite-temperature case. We obtain a completely bosonized expression for the partition function, describing the thermodynamics of the collective…

高能物理 - 理论 · 物理学 2009-10-30 M. V. Manias , C. M. Naon , M. L. Trobo

Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method relies on the master Lagrangian approach to…

高能物理 - 理论 · 物理学 2011-01-04 H. Blas , H. L. Carrion

By viewing the Sine-Gordon and massive Thirring models as perturbed conformal field theories one sees that they are different (the difference being observable, for instance, in finite-volume energy levels). The UV limit of the former (SGM)…

高能物理 - 理论 · 物理学 2009-10-22 Timothy R. Klassen , Ezer Melzer

Using the path-integral approach, the quantum massive Thirring and sine-Gordon models are proven to be equivalent at finite temperature. This result is an extension of Coleman's proof of the equivalence between both theories at zero…

高能物理 - 理论 · 物理学 2009-10-30 D. Delepine , R. Gonzalez Felipe , J. Weyers

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…

高能物理 - 理论 · 物理学 2014-11-18 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

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…

高能物理 - 理论 · 物理学 2007-05-23 Harold Blas

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…

高能物理 - 理论 · 物理学 2009-11-11 Harold Blas

We extend the path-integral approach to bosonization to the case in which the fermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric)…

高能物理 - 理论 · 物理学 2009-10-28 C. M. Naón , M. C. von Reichenbach , M. L. Trobo

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…

高能物理 - 理论 · 物理学 2009-10-31 Jiro Sakamoto , Yasunari Heike

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…

高能物理 - 理论 · 物理学 2009-11-10 Subir Ghosh

Some properties of the non-commutative (NC) versions of the generalized sine-Gordon model (NCGSG) and its dual massive Thirring theory are studied. Our method relies on the NC extension of integrable models and the master lagrangian…

高能物理 - 理论 · 物理学 2009-03-21 H. Blas , H. L. Carrion

Construction of integrable field theories in space with a boundary is extended to fermionic models. We obtain general forms of boundary interactions consistent with integrability of the massive Thirring model and study the duality…

高能物理 - 理论 · 物理学 2014-11-18 Takeo Inami , Hitoshi Konno , Yao-Zhong Zhang

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…

高能物理 - 理论 · 物理学 2009-10-28 E. Fradkin , F. A. Schaposnik

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…

高能物理 - 理论 · 物理学 2009-11-10 Harold Blas

We extend a non local and non covariant version of the Thirring model in order to describe a many-body system with spin-flipping interactions By introducing a model with two fermion species we are able to avoid the use of non abelian…

高能物理 - 理论 · 物理学 2016-08-15 Aníbal Iucci , Kang Li , Carlos M. Naón
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