scholarly journals Exact finite volume expectation values of Ψ ¯ Ψ $$ \overline{\varPsi}\varPsi $$ in the massive Thirring model from light-cone lattice correlators

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Árpád Hegedűs
Keyword(s):  
Finite Volume ◽  
Light Cone ◽  
Thirring Model ◽  
Expectation Values ◽  
Massive Thirring Model

Method for Solving the Massive Thirring Model

1979 ◽  
Vol 42 (3) ◽  
pp. 135-138 ◽  
Author(s):  
H. Bergknoff ◽  
H. B. Thacker
Keyword(s):  
Thirring Model ◽  
Massive Thirring 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 FORM FACTORS OF THE SU(2) INVARIANT MASSIVE THIRRING MODEL WITH BOUNDARY REFLECTION

2000 ◽  
Vol 15 (19) ◽  
pp. 3037-3052
Author(s):  
H. FURUTSU ◽  
T. KOJIMA ◽  
Y.-H. QUANO
Keyword(s):  
Vertex Operator ◽  
Present Model ◽  
Form Factors ◽  
Integral Representations ◽  
Thirring Model ◽  
Operator Approach ◽  
Vacuum Vector ◽  
Massive Thirring Model

The SU(2)-invariant massive Thirring model with a boundary is considered on the basis of the vertex operator approach. The bosonic formulae are presented for the vacuum vector and its dual in the presence of the boundary. The integral representations are also given for form factors of the present model.

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