Fred Cooper, 2, ∗ Pasquale Sodano, † Andrea Trombettoni, ‡ and Alan Chodos § T-8, Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos NM 87545 National Science Foundation, Arlington, VA 22230 3 Dipartimento di Fisica e Sezione I.N.F.N., Universita di Perugia ,Via A. Pascoli I-06123, Perugia, Italy. 4 Dipartimento di Fisica e Sezione I.N.F.N., Universita di Perugia, Via A. ...

The edge state theory of a class of symmetric double-layer quantum Hall systems with interlayer electron tunneling reduces to the sum of a free field theory and a field theory of a chiral Bose field with a self-interaction of the sine-Gordon form. We argue that the perturbative renormalization group flow of this chiral sine-Gordon theory is distinct from the standard (non-chiral) sine-Gordon th...

As 71 is varied over the range ~ < ~/< ~c, this potential exhibits a variety of structures. Although in later sections we shall discuss these different structures in some detail [2], it is important here to provide a qualitative feeling for them. Clearly, for ~ _+ oo, 'V(~) reduces to a sine-Gordon [SG] form for q~, while for 71 = 0, it leads to a SG form for q~/2. Thus in both these limits the...

In this paper we consider the initial value problem for the sineGordon equation by using the homotopy perturbation method. The advantage of this method that is its ability and flexibility to provide the analytical or approximate solutions to linear and nonlinear equations without linearization or discretization makes it reliable for solving the sine-Gordon equation. The numerical results are pr...

We investigate the renormalization group theory of generalized multi-vertex sine-Gordon model by employing dimensional regularization method and also Wilson method. The vertex interaction is given $\cos(k_j\cdot \phi)$ where $k_j$ ($j=1,2,\cdots,M$) are momentum vectors $\phi$ an $N$-component scalar field. beta functions calculated for with multi cosine interactions. second-order correction 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 internal motions of biomatter immersed in biofluid are investigated. The interactions between the fragments of biomatter and its surrounding biofluid are modeled using field theory. In the model, the biomatter is coupled to the gauge field representing the biofluid. It is shown that at non-relativistic limit various equation of motions, from the well-known Sine-Gordon equation to the simult...

The sine-Gordon equation with periodic boundary conditions describes integrable dynamics on the space of closed curves of constant torsion, for which multi-phase solutions provide large classes of canonical knot representatives. In this letter we discuss the use of Bäcklund transformations for studying the topological properties and symmetries of multi-phase solutions and of their homoclinic ma...