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We show that the model is renormalizable by means of a perturbation expansion and we derive beta functions of the renormalization group theory. OSTI.GOV Journal Article: Semiclassical quantization of the complex sine-Gordon field theory Title: Semiclassical quantization of the complex sine-Gordon field theory Full Record OSTI.GOV Journal Article: Grand partition function in field theory with applications to sine-Gordon field theory Second order phase transition in two dimensional sine-Gordon field theory—Lattice model. Pramana, 1978. V C Kuriakose. Babu Joseph.

A variational mean field free energy is constructed and the corresponding phase diagrams in two (2d) and three dimensions (3d) are obtained. When analyzed in terms of chemical potential, the Sine-Gordon theory predicts the phase diagram topologically identical with the Monte Carlo simulations and a The (1+1)-dimensional Massive sine-Gordon Field Theory and the Gaussian Wave-functional Approach Wen-Fa Lu CCAST(World Laboratory) P.O. Box 8730, Bejing, 100080 and Department of Applied Physics, Shanghai Jiao Tong University, Shanghai 200030, China Abstract The ground, one- and two-particle states of the (1+1)-dimensional massive Chiral Sine-Gordon Theory appears naturally in the double layer Quantum Hall setting. It de-scribes simplest possible interaction Hamiltonian between chiral edge modes of each layer. Unlike well-known Sine-Gordon theory which shows Kosterlitz-Thouless type ow, chiral version of Sine-Gordon theory behaves di erently under RG. The Sine-Gordon Field Theory Model at α2 = 8π, the Non-Superrenormalizable Theory Francesco Nicolό1 and Paolo Perfetti2 1 Dipartimento di Fisica, Universita di Lecce, Via per Arnesano, 1-73100 Lecce, Italy 2 Dipartimento di Fisica, Universita ,,La Sapienza", Pie Aldo Moro 5, I-OO185 Roma,< Abstract. We study the Sine-Gordon field theory at Linearization of homogeneous polynomials of degree n and k variables leads to generalized Clifford algebras. Multicomplex numbers are then introduced in analogy to complex numbers with respect to the usual Clifford algebra. In turn multi-complex extensions of trigonometric functions are constructed in terms of "compact" and "non-compact" variables.

This paper. A short summary of this paper.

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37 Full PDFs related to this paper. On the Supersymmetric Sine-Gordon Model The sine-Gordon model as the theory of a massless scalar field in one space and one time dimension with interaction Lagrangian density proportional to cos/9tf is generalized for scalar superfield ; id it is shown that the solution of the supercovariant sine-Gordon … SGFT stands for Sine-Gordon Field Theory (physics) Suggest new definition. This definition appears very rarely and is found in the following Acronym Finder categories: Science, medicine, engineering, etc.

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Download. SUSY sine-Gordon theory as a perturbed The sine-Gordon equation is the Euler–Lagrange equation for this Lagrangian. In the quasi-classical quantization of the field $ u $, a fundamental role is played by the above formulas for $ … Sine Gordon Field Theory.

The number of the breathers depends on the value of the parameter. Multi particle productions cancels on mass shell. The Sine-Gordon Field Theory Model at α2 = 8π, the Non-Superrenormalizable Theory Francesco Nicolό1 and Paolo Perfetti2 1 Dipartimento di Fisica, Universita di Lecce, Via per Arnesano, 1-73100 Lecce, Italy 2 Dipartimento di Fisica, Universita ,,La Sapienza", Pie Aldo Moro 5, I-OO185 Roma,< Abstract. We study the Sine-Gordon field theory at 2019-04-04 · This is the objective of this work: we carry out a systematic comparison between the two methods in the prototypical example of the sine-Gordon field theory. In particular, we study the "bipartitioning protocol" where the two halves of a system initially prepared at different temperatures are joined together and then left to evolve unitarily with the same Hamiltonian. Sine-Gordon is also a scalar field theory.
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We study the Sine-Gordon field theory at 2019-04-04 · This is the objective of this work: we carry out a systematic comparison between the two methods in the prototypical example of the sine-Gordon field theory. In particular, we study the "bipartitioning protocol" where the two halves of a system initially prepared at different temperatures are joined together and then left to evolve unitarily with the same Hamiltonian. Sine-Gordon is also a scalar field theory.

In dimension 2, the cases n = 1,2,3,4 are identified as the quantum integrable Liouville, sine-Gordon and known deformed Toda models. … The chiral sine-Gordon model is a model for G-valued fields and describes a new class of phase transitions, where G is a compact Lie group. We show that the model is renormalizable by means of a perturbation expansion and we derive beta functions of the renormalization group theory.
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This answers the question: 3.2 Scalar fields and the Klein-Gordon equation . These are lecture notes for the course “Symmetries and quantum field theory” given at the master 2 “ Quantum field theory has been enormously effective in diverse areas, including: particle physics; condensed matter; string theory/quantum gravity; geometry/ Quantum field theory on a finite volume is a subject of both theoretical and The semiclassical quantization of the sine-Gordon soliton in infinite volume has av E Linnér · 2017 — Abstract: The equivalence of the sine-Gordon model and the massive Thirring model, (1+1) dimensional theories of a single scalar field Sammanfattning : The equivalence of the sine-Gordon model and the massive Thirring model, (1+1) dimensional theories of a single scalar field respectively a solitons in quantum field theory is possible to understand. The explicit time-independent kink solutions are computed for the phi^4- and the sine-Gordon theory solitons in quantum field theory is possible to understand.

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The model has applications in many branches of physics and gives an exact description of the interaction of an arbitrary number of elementary particles and bound-state composite particles. {\textcopyright} 1975 Societ{\`a The Rise of Solitons in Sine-Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function. Leonardo Mondaini. Journal of Applied Mathematics and Physics Vol.2 No.13，December 23, 2014 DOI: 10.4236/jamp.2014.213141 4,011 Downloads 4,458 Views Citations 2019-04-04 The sine-Gordon equation (∂2 ∂ x2 − ∂2 ∂ t2)ϕ = sin ϕ may be viewed as a prototype for a nonlinear integrable field theory. It is manifestly invariant under spacetime translations and Lorentz boosts, the sine-Gordon theory.