Aspects of Symmetry in Sine-Gordon Theory
نویسنده
چکیده
As a prototype of powerful non-abelian symmetry in an Integrable System, I will show the appearance of a Witt algebra of vector fields in the SG theory. This symmetry does not share anything with the well-known Virasoro algebra of the conformal c = 1 unperturbed limit. Although it is quasi-local in the SG field theory, nevertheless it gives rise to a local action on N -soliton solution variables. I will explicitly write the action on special variables, which possess a beautiful geometrical meaning and enter the Form Factor expressions of quantum theory. At the end, I will also give some preliminary hints about the quantisation. PACS: 11.30-j; 02.40.-k; 03.50.-z
منابع مشابه
Generalized solution of Sine-Gordon equation
In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.
متن کاملComplex sine-Gordon Theory for Coherent Optical Pulse Propagation
It is shown that the McCall-Hahn theory of self-induced transparency in coherent optical pulse propagation can be identified with the complex sine-Gordon theory in the sharp line limit. We reformulate the theory in terms of the deformed gauged Wess-Zumino-Witten sigma model and address various new aspects of self-induced transparency. 1 E-mail address; [email protected] 2 E-mail address;...
متن کاملQuantized Breathers in a Double Sine-gordon System
We examine the excitations of a quasi-one dimensional easy plane antiferromagnet, in a symmetry breaking applied magnetic field. The antiferromagnetic exchange includes a small Dzyaloshinski Moriya component that produces the easy plane. In the classical continuum limit, this system is described by a double-sine-Gordon field theory, which supports soliton excitations and the multi spin wave bou...
متن کاملSymmetry Breaking and AC-Driven Dynamics of Solitons
We report on the possibility of unidirectional motion of a topological soliton in a dissipative AC-driven sine-Gordon equation. This motion is due to breaking of certain space-time symmetries. It can be achieved by the proper choice of the potential or the AC force. We formulate the necessary symmetry conditions for the AC force and confirm them with the first order perturbation theory and nume...
متن کاملRestricted Sine-Gordon Theory in the Repulsive Regime as Perturbed Minimal CFTs
We construct the restricted sine-Gordon theory by truncating the sine-Gordon multi-soliton Hilbert space for the repulsive coupling constant due to the quantum group symmetry SLq(2) which we identify from the Korepin’s S-matrices. We connect this restricted sine-Gordon theory with the minimal (c < 1) conformal field theory Mp/p+2 (p odd) perturbed by the least relevent primary field Φ1,3. The e...
متن کاملQuantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by nonlocal charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for repre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001