The finite temperature properties of the massive Thirring model and the quantum sine-Gordon model

1983 ◽  
Vol 16 (1) ◽  
pp. 35-48 ◽  
Author(s):  
M Imada ◽  
K Hida ◽  
M Ishikawa
Keyword(s):  
Finite Temperature ◽  
Thirring Model ◽  
Massive Thirring Model ◽  
Sine Gordon Model

scholarly journals DUAL BOSONIC THERMAL GREEN FUNCTION AND FERMION CORRELATORS OF THE MASSIVE THIRRING MODEL AT FINITE TEMPERATURE

2008 ◽  
Vol 23 (10) ◽  
pp. 761-767 ◽  
Author(s):  
LEONARDO MONDAINI ◽  
E. C. MARINO
Keyword(s):  
Green Function ◽  
Finite Temperature ◽  
Thirring Model ◽  
Coordinate Space ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Infinite Strip ◽  
Massive Thirring Model ◽  
Series Expression ◽  
Upper Half Plane

The Euclidean 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 -∞ < x < ∞ (0 < τ < β) of the z = x + iτ (τ: imaginary time) plane into the upper-half-plane. Using this fact and the Cauchy–Riemann conditions, we identify the dual thermal Green function as the imaginary part of that function. Using both the thermal Green function and its dual, we obtain an explicit series expression for the fermionic correlation functions of the massive Thirring model (MTM) at a finite temperature.

scholarly journals TWISTED BOSONIZATION IN TWO-DIMENSIONAL NONCOMMUTATIVE SPACETIME

2012 ◽  
Vol 27 (25) ◽  
pp. 1250149 ◽  
Author(s):  
ASRARUL HAQUE ◽  
T. R. GOVINDARAJAN
Keyword(s):  
Thirring Model ◽  
Weak Duality ◽  
Two Dimensional ◽  
Massive Thirring Model ◽  
Commutation Relations ◽  
Fermionic Operators ◽  
Dual Relationship ◽  
Noncommutative Spacetime ◽  
Sine Gordon Model

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 relationship between twisted bosonic and fermionic operators. The strong–weak duality is also observed to be preserved as its commutative counterpart.

scholarly journals ON THE SINE-GORDON — THIRRING EQUIVALENCE IN THE PRESENCE OF A BOUNDARY

1996 ◽  
Vol 11 (22) ◽  
pp. 4089-4101
Author(s):  
Z.-M. SHENG ◽  
H.-B. GAO
Keyword(s):  
Boundary Condition ◽  
Thirring Model ◽  
R Matrix ◽  
Massive Thirring Model ◽  
Integrable Boundary Condition ◽  
Sine Gordon Model ◽  
The Relationship ◽  
Physical Boundary

In this paper, the relationship between the sine-Gordon model with an integrable boundary condition and the Thirring model with boundary is discussed and the reflection R matrix for the massive Thirring model, which is related to the physical boundary parameters of the sine—Gordon model, is given. The relationship between the boundary parameters and the two formal parameters appearing in the work of Ghoshal and Zamolodchikov is also discussed.

scholarly journals Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of $$1+1$$-dimensional bosonization

2019 ◽  
Vol 79 (12) ◽  
Author(s):  
Subir Ghosh
Keyword(s):  
Optical Solitons ◽  
Optical Soliton ◽  
Thirring Model ◽  
Dirac Fermions ◽  
Curved Spacetime ◽  
Relativistic Limit ◽  
Massive Thirring Model ◽  
Non Linear ◽  
Sine Gordon Model

AbstractBosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized Sine–Gordon model, both living in $$1+1$$1+1-dimensional curved spacetime. Applying this duality we have shown that the Thirring model fermion, in non-relativistic limit, gets identified with the soliton of non-linear Scrodinger model with Kerr form of non-linearity. We discuss one particular optical soliton in the latter model and relate it with the Thirring model fermion.

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