On the spectrum of the Sinh-Gordon model in finite volume
نویسنده
چکیده
We will mainly consider the Sinh-Gordon model in finite spacial volume which corresponds to imposing the periodic boundary conditions φ(x + R) = φ(x). A lot is known about the Sinh-Gordon model in infinite volume R → ∞, see e.g. [1, 2, 3, 4, 5]. The spectrum contains a single particle with mass m which is related to the parameter μ in (1.1) in a definite way [6], see eqn. (5.32) below. The S-matrix factorizes into the product of two-particle scattering phase shifts S(θ1 − θ2), with
منابع مشابه
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.
متن کاملElliptic Function Solutions of (2+1)-Dimensional Breaking Soliton Equation by Sinh-Cosh Method and Sinh-Gordon Expansion Method
In this paper, based on sinh-cosh method and sinh-Gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.These solutions include Jacobi elliptic function solution, soliton solution,trigonometric function solution.
متن کاملIntegrable structure of Quantum Field Theory: classical flat connections versus quantum stationary states
We establish a correspondence between an infinite set of special solutions of the (classical) modified sinh-Gordon equation and a set of stationary states in the finitevolume Hilbert space of the integrable 2D QFT invented by V.A. Fateev. The modified sinh-Gordon equation arise in this case as a zero-curvature condition for a class of multivalued connections on the punctured Riemann sphere, sim...
متن کاملFinite Temperature Expectation Values of Local Fields in the sinh-Gordon model
Sklyanin’s method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter’s Q-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one...
متن کاملReflection factors and a two-parameter family of boundary bound states in the sinh-Gordon model
The investigation of boundary breather states of the sinh-Gordon model restricted to a half-line is revisited. Properties of the classical boundary breathers for the twoparameter family of integrable boundary conditions are reviewed and extended. The energy spectrum of the quantized boundary states is computed, firstly by using a bootstrap technique and, subsequently using a WKB approximation. ...
متن کامل