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...

Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

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 ...

It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider a system which can be understood as a T-dual to the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonl...

The relationship between the soliton dynamics provided by the classical sine-Gordon and massive Thirring models is exhibited. Solitons are characterized as classical relativistic particles through the consideration of their associated canonical realizations of the Poincare group. It is shown that the soliton in the massive Thirring model determines two different kinds of relativistic particles ...

Abstract. We investigate the low-energy properties of a generalized quantum sine-Gordon model in one dimension with a self-dual symmetry. This model describes a class of quantum phase transitions that stems from the competition of different orders. This SU(N ) self-dual sine-Gordon model is shown to be equivalent to an SO(N )2 conformal field theory perturbed by a current-current interaction, w...