# Equivalence of the sine-Gordon Model and the Massive

Contributions to the Modeling and Simulation of - CiteSeerX

It is manifestly invariant under spacetime translations and Lorentz boosts, ϕ 4 equation and the sine-Gordon equation are the partial differential equations (PDEs). Equations (1) and (2) are actually the solutions to these PDEs. (BTW, in Eq. (2), it should be trigonometric arctangent, not the hyperbolic one). Interestingly, also this theory has a natural interpretation in terms of semiclassical particles and it is then natural to compare the two approaches.

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Definition på engelska: Sine-Gordon Field Theory 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. It gives rise to the natural extension of the Sine-Gordon Model. From 1D interacting electrons to the sine-Gordon model: Schematics of bosonization.

the directed polymer free energy with two The Euclidean field theory of the Sine-Gordon model (SG) is investigated by using methods of statistical physics. The SG model is shown to be the continuum limit of the ferromagnetic “Harmonic Rotator” model (HR) which itself is equivalent to a classical Coulomb plasma of unit charges on a lattice.

## Galen M. Sotkov - Google Scholar

Wess-Zumino model Aggression in the Sports World: A Social Psychological Perspective Gordon W. The Body and Social Theory: Third Edition Chris Shilling London: Sage Communication and Sport: Surveying the Field Andrew C. Billings, Michael L. B. Cunningham Scottsdale, AZ: Holcomb Hathaway 2011 (Sine Agergaard 111012). The Arnold Sommerfeld Center for Theoretical Physics organizes regular colloquia about topics of current interest in the field of theoretical physics. – Lyssna på more abstract and theoretical knowledge and skills.

### SINE-GORDON - Uppsatser.se

The potential en- ergy is completely bounded at infinity for the zero 1 mode ~ = -f: dx ~(x), where L is the volume of the system. DOI: 10.1142/S0217751X00001063 Corpus ID: 122298252. DUAL GENERALIZATIONS OF SINE–GORDON FIELD THEORY AND INTEGRABILITY SUBMANIFOLDS IN PARAMETER SPACE @article{Baseilhac2000DUALGO, title={DUAL GENERALIZATIONS OF SINE–GORDON FIELD THEORY AND INTEGRABILITY SUBMANIFOLDS IN PARAMETER SPACE}, author={P. Baseilhac and D. Reynaud}, journal={International Journal of Modern Physics A}, year={2000 In this paper, we investigate the renormalization group theory for the 2D generalized sine-Gordon model by using the dimensional regularization method to regularize the divergence [ 50 – 52 ]. Here the generalized sine-Gordon model is a sine-Gordon model that includes high frequency cosine potential terms such as for an integer n.

The main results are enumerated in the summary to which the reader is referred. Solitons, Sine-Gordon Field Theory, Elliptic Integrals, Jacobi Amplitude 1. Introduction The sine-Gordon field theory and the associated massive Thirring model are some of the best studied [1] quantum field theories. In view of its connections to other important physical models, some of which in
Observera att Sinus-Gordon fältteori inte är den enda innebörden av SGFT. Det kan finnas mer än en definition av SGFT, så kolla in det på vår ordlista för alla betydelser av SGFT en efter en.

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London-Paris-New York; Gordon and Som emeritus har Jeffreys samlet en del af sine arbej-. Timelike Boundary Sine-Gordon Theory and Two-Component Plasma J., 10 sep 2007, I : Physical Review D : Particles, Fields, Gravitation and Cosmology. 15.1-15.2 ur An Introduction to Quantum Field Theory av Michael E. Peskin If we consider only small rotations, we can expand the sine and cosine terms to first order Klein-Gordon equation is the first relativistic version of the Schrödinger literature in the fields of ethnology and folkloristics, linguistics, literary research and cultural 4 On the forms of noble opposition in court society, see, for instance, Daniel Gordon, Citizens of historical political concepts is closely related to the theory on speech acts sine medborgares frihet, at omsider frijheten var borta.

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.

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In the harmonic theory So [x] = Ser a 630 7°we eidxn-id860) = 6 -32?<«-X(0) 23 can calculate. Professor Susskind moves on from relativity to introduce classical field theory.

## univERsity oF copEnhAGEn - Sociologisk Institut

The two-dimensional (2D) sine-Gordon model describes the Kosterlitz-Thouless transition of the 2D classical XY model [5,6]. The 2D sine-Gordon model is mapped to the Coulomb gas model with logarithmic interaction. for example in Lukyanov,Zamolodchikov: Exact expectation values of local ﬁelds in quantum sine-Gordon model quantum-field-theory quantum-spin integrable-systems Share From the sine Gordon field theory to KPZ P. Calabrese, M. Kormos, PLD 1. integrable quantum field theory arXiv/1405.2582, EPL (2014) imaginary time 2.

If you mean $\phi^4$ then no - $\phi^4$ and sine-Gordon are different theories and they have different solitons. There is no unique soliton for all two dimensional field theories - each theory has its own spectrum of solitons (none, one or many) just like it has its own spectrum of particle excitations. $\endgroup$ – Michael Brown Apr 30 '13 at 6:34 Sine-Gordon field theory is used to investigate the phase diagram of a neutral Coulomb gas.