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.

scholarly journals THE SU(n)-INVARIANT MASSIVE THIRRING MODEL WITH BOUNDARY REFLECTION

2001 ◽  
Vol 16 (15) ◽  
pp. 2665-2689 ◽  
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Free Field ◽  
Form Factors ◽  
Integral Representations ◽  
Thirring Model ◽  
Field Approach ◽  
Massive Thirring Model ◽  
Boundary State ◽  
Local Operators

We study the SU (n)-invariant massive Thirring model with boundary reflection. Our approach is based on the free field approach. We construct the free field realizations of the boundary state and its dual. For an application of these realizations, we present integral representations for the form factors of the local operators.

THE AFFINE $A_{n-1}^{(1)}$ TODA FIELDS WITH BOUNDARY REFLECTION

2002 ◽  
Vol 17 (04) ◽  
pp. 487-513 ◽  
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Free Field ◽  
Form Factors ◽  
Integral Representations ◽  
Thirring Model ◽  
Field Approach ◽  
Massive Thirring Model ◽  
Boundary State ◽  
Local Operators ◽  
Limiting Case

We study the affine [Formula: see text] Toda fields with boundary reflection. Our approach is based on the free field approach. We construct free field realizations of the boundary state and its dual. For an application of these realizations, we present integral representations for the form factors of the local operators. In a limiting case ρ→ ∞, our integral representations reproduce those of form factors for the SU (n)-invariant massive Thirring model with boundary reflection.1

scholarly journals Thermodynamic limit of the two-spinon form factors for the zero field XXX chain

2019 ◽  
Vol 6 (6) ◽  
Author(s):  
Nikolai Kitanine ◽  
Giridhar V. Kulkarni
Keyword(s):  
Bethe Ansatz ◽  
Thermodynamic Limit ◽  
Vertex Operator ◽  
Form Factors ◽  
Quantum Spin ◽  
Spin Chains ◽  
Zero Field ◽  
Heisenberg Chain ◽  
Quantum Spin Chains ◽  
Operator Approach

In this paper we propose a method based on the algebraic Bethe ansatz leading to explicit results for the form factors of quantum spin chains in the thermodynamic limit. Starting from the determinant representations we retrieve in particular the formula for the two-spinon form factors for the isotropic XXX Heisenberg chain obtained initially in the framework of the q-vertex operator approach.

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
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