منابع مشابه
Noncommutative Sine-gordon Model Extremizing the Sine-gordon Action
As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1)×U(1). The result are novel noncommutative sine-Gordon equa...
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Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained...
متن کاملSine-gordon Revisited
We study the sine-Gordon model in two dimensional space time in two different domains. For β > 8π and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the the model is asymptotically free in the infrared. For β < 8π and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalizatio...
متن کاملThe Gravitational Sine-Gordon Model
We use matrix model results to investigate the Sine-Gordon model coupled to two dimensional gravity. For relevant (in the RG sense) potentials, we show that the c = 1 string, which appears in the ultraviolet limit of this model, flows to a set of decoupled c = 0 (pure gravity) models in the infrared. The torus partition sum, which was argued previously to count the number of string degrees of f...
متن کاملThe Sine-gordon Model As
The ground state of the SO(2n) 1 ×SO(2n) 1 SO(2n) 2 coset theories, perturbed by the φ id,id adj operator and those of the sine-Gordon theory, for special values of the coupling constant in the attracting regime, is the same. In the first part of this paper we extend these results to the SO(2n − 1) cases. In the second part, we analyze the Algebraic Bethe Ansatz procedure for special points in ...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1985
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.74.645