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We discuss the scaling property Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model F. Buccheri and G. Takács 5 March 2014 | Journal of High Energy Physics, Vol. 2014, No. 3 sine-Gordon equation has various applications physics, in electronics etc. Methods of solving the Sine-Gordon equation have been the focus of many recent research works. Drazin [19] discusses the stability of the finite difference schemes for solving the nonlinear Klein-Gordon equation. Olusola and Emmanuel [24] employed the Reduced sine-Gordon model J. Mateos Guilarte The classical action and the field equations Solitary waves: kinks, solitons, and breathers The sine- Gordon Hamiltonian: more conserved charges Lectures on Quantum sine-Gordon Models Juan Mateos Guilarte1;2 1Departamento de Física Fundamental (Universidad de Salamanca) 2IUFFyM (Universidad de Salamanca) Visit http://www.exploregate.com for the full set of tutorials on Solitons Fixed point iteration convergence of $\sin(x)$ in Java [duplicate] Ask Question One proof, found by doing a Google search for "iterated sine", is shown here. We study the finite-temperature expectation values of exponential fields in the sine-Gordon model.

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Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix elements, for which we provide explicit formulas. For special values of the exponent, computations by other methods are available and used to validate our findings Yildirim O. and Uzun M. (2020) “Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system”, Nonlinear Analysis: Modelling and Control, 25(6), pp. 997-1014. doi: 10.15388/namc.2020.25.20558. Sine of input angle, returned as a scalar, vector, matrix, or multidimensional array. y is a signed, fixed-point number in the range [-1,1].. If the DataTypeMode property of theta is Fixed-point: binary point scaling, then y is returned as a signed fixed-point data type with binary point scaling, a 16-bit word length, and a 15-bit fraction length (numerictype(1,16,15)).

A delicate point is to put in relation the 4D sine-Gordon model and a suitable O (2) model. In two dimensions this duality [14] is at the heart of the whole BKT theory, based on the identification of the vortex degrees of freedom with Coulomb charges and on the exact mapping between the sine-Gordon model and the Coulomb gas.

The nonabelian sine-Gordon model is renormalizable as for the U(1) sine-Gordon model. Al-though the chiral model shows an asymptotic freedom in two dimensions, it is lost by the mass term in gen-eral. The beta functions, however, have zero at a critical point and this point is a bifurcation point that divides 2005-10-10 2002-09-16 We study in this paper the sine-Gordon model using functional renormalization group at local potential approximation using different renormalization group (RG) schemes.

2015-12-01

A composite numerical method based on finite difference method and fixed point iteration is implemented to solve coupled sine-Gordon equations with appropriate initial and boundary conditions. 2014-08-12 · In the framework of the functional renormalization group method it is shown that the phase structure of the 2-dimensional sine-Gordon model possesses a nontrivial UV fixed point which makes the model asymptotically safe. The fixed point exhibits strong singularity similarly to the scaling found in the vicinity of the infrared fixed point. The singularity signals the upper energy-scale limit to The sin function computes the sine of fixed-point input using an 8-bit lookup table as follows: Perform a modulo 2π, so the input is in the range [0,2π) radians.

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sine-Gordon equation (1.1) is by definition a stationary (τ-independent) solution used to locate non-imaginary points of σ(P) corresponding to instability. 18 Sep 2014 We introduce the dynamical sine-Gordon equation in two space dimensions with parameter β, which following fixed point problem: W = P1t>0. tions of a perturbed sine-Gordon equation (on the real line or on the circle) 4-b) is a saddle-node bifurcation of fixed points: fixed any µ>µ∗ any saddle-node. We study certain deformations of the integrable sine-Gordon model (DSG).

Fig. Renormalization group flow for the SU(N) sine-Gordon … Sine-Gordon model The description of the symmetry and correlation functions of the Gaussian model in this and the following sections is based on 129-311.
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2002-09-16 · The Z 3 infrared critical properties of the β 2 =6π self-dual sine-Gordon model are derived using two non-perturbative approaches. On one hand, we map the model onto an integrable deformation of the Z 4 parafermion theory. The latter is known to flow to a massless Z 3 infrared fixed point.

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A delicate point is to put in relation the 4D sine-Gordon model and a suitable O (2) model. In two dimensions this duality [14] is at the heart of the whole BKT theory, based on the identification of the vortex degrees of freedom with Coulomb charges and on the exact mapping between the sine-Gordon model and the Coulomb gas.

sine-Gordon equation (1.1) is by definition a stationary (τ-independent) solution used to locate non-imaginary points of σ(P) corresponding to instability. 18 Sep 2014 We introduce the dynamical sine-Gordon equation in two space dimensions with parameter β, which following fixed point problem: W = P1t>0. tions of a perturbed sine-Gordon equation (on the real line or on the circle) 4-b) is a saddle-node bifurcation of fixed points: fixed any µ>µ∗ any saddle-node. We study certain deformations of the integrable sine-Gordon model (DSG).

XXZ/Sine-Gordon equivalence, paramter correspondance; Luther point in XXZ? It has been argued that isotropic XXZ model corresponds to an SG theory which flows to K = 1, u = 0 fixed point. AFM XXZ model should correspond to some SG theory with K>1, u>0, which is dual to a massive Thirring model. We know if K = 2, the massive Thirring model is free. All the other outputs can be calculated based on the values within this range and the symmetry of the sine function. In general, the input to the sine function can be positive, negative, fractional, or even irrational.