scholarly journals Quantum field theories on a lattice: Variational methods for arbitrary coupling strengths and the Ising model in a transverse magnetic field

1977 ◽  
Vol 16 (6) ◽  
pp. 1769-1781 ◽  
Author(s):  
Sidney D. Drell ◽  
Marvin Weinstein ◽  
Shimon Yankielowicz
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Variational Methods ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Arbitrary Coupling ◽  
Coupling Strengths

scholarly journals TOWARDS THE CONSTRUCTION OF WIGHTMAN FUNCTIONS OF INTEGRABLE QUANTUM FIELD THEORIES

2004 ◽  
Vol 19 (supp02) ◽  
pp. 34-49 ◽  
Author(s):  
H. BABUJIAN ◽  
M. KAROWSKI
Keyword(s):  
Ising Model ◽  
Form Factors ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Operator Equations ◽  
Quantum Operator ◽  
Integrable Quantum ◽  
Wightman Functions ◽  
Distance Limit

The purpose of the "bootstrap program" for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, the program is mainly illustrated in terms of the sine-Gordon and the sinh-Gordon model and (as an exercise) the scaling Ising model. We review some previous results on sine-Gordon breather form factors and quantum operator equations. The problem to sum over intermediate states is attacked in the short distance limit of the two point Wightman function for the sinh-Gordon and the scaling Ising model.

Dynamics of the Ising Model in a Transverse Magnetic Field

1973 ◽  
Author(s):  
D. L. Huber ◽  
T. Tommet ◽  
Hugh C. Wolfe ◽  
C. D. Graham ◽  
J. J. Rhyne
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic

scholarly journals Exact form factors in integrable quantum field theories: the scaling -Ising model

2006 ◽  
Vol 736 (3) ◽  
pp. 169-198 ◽  
Author(s):  
Hratchya Babujian ◽  
Angela Foerster ◽  
Michael Karowski
Keyword(s):  
Ising Model ◽  
Form Factors ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Exact Form ◽  
Integrable Quantum

CONFORMAL FIELD THEORY AND PURELY ELASTIC S-MATRICES

1990 ◽  
Vol 05 (06) ◽  
pp. 1025-1048 ◽  
Author(s):  
V.A. FATEEV ◽  
A.B. ZAMOLODCHIKOV
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Conformal Field Theory ◽  
Mass Spectra ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Potts Models ◽  
Conformal Field ◽  
Toda Systems

Particular perturbations of a 2D Conformal Field Theory leading to Integrable massive Quantum Field Theories are examined. The mass spectra and S-matrices for some models, including the field theory of the Ising Model with magnetic field and “thermal” deformations of the tricritical Ising and 3-state Potts models, are proposed. The hidden Lie-algebraic structures of these spectra and their relation to the Toda systems are discussed.

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