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A nonlocal Poisson bracket of the sine-Gordon model
It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the nonabelian dual of the classical string on a two-sphere.
Anco +28 more
core +2 more sources
Cosine and Sine Operators Related with Orthogonal Polynomial Sets on the Intervall [-1,1]
The quantization of phase is still an open problem. In the approach of Susskind and Glogower so called cosine and sine operators play a fundamental role.
Abramowitz M +12 more
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DLR equations and rigidity for the Sine-beta process [PDF]
We investigate Sine$_\beta$, the universal point process arising as the thermodynamic limit of the microscopic scale behavior in the bulk of one-dimensional log-gases, or $\beta$-ensembles, at inverse temperature $\beta>0$. We adopt a statistical physics
Dereudre, David +3 more
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Phase Structure and Compactness [PDF]
In order to study the influence of compactness on low-energy properties, we compare the phase structures of the compact and non-compact two-dimensional multi-frequency sine-Gordon models.
A Mikhailov +100 more
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On k-String Tensions and Domain Walls in N=1 Gluodynamics [PDF]
We discuss the k dependence of the k-string tension sigma_k in SU(N) supersymmetric gluodynamics. As well known, at large N the k-string consists, to leading order, of k noninteracting fundamental strings, so that sigma_k=k sigma_1.
A Armoni +44 more
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Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality [PDF]
We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy).
Fateev, Vladimir A.
core +5 more sources
[For part II see ibid. 49, No. 1-2, 122-152 (1995; Zbl 0839.39008).] The following is offered as main result. Functional equations of the form \(f(x + y) f(x - y) = P[f(x), f(y)]\), where \(P\) is a polynomial of degree less than 6, have solutions \(f\) over the reals which assume at least 86 distinct complex values and which are nonzero at 0 if, and ...
openaire +3 more sources
Multi-dimensional real Fourier transform [PDF]
Four subroutines compute one-dimensional and multi-dimensional Fourier transforms for real data, multi-dimensional complex Fourier transforms, and multi-dimensional sine, cosine and sine-cosine transforms.
Krogh, F. T.
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Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators
We study the stochastic resonance phenomenon in the overdamped two coupled anharmonic oscillators with Gaussian noise and driven by different external periodic forces.
Gandhimathi, V. M. +2 more
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Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
We propose the use of a waveguide-like transmission line based on direct-current superconducting quantum interference devices (dc-SQUID) and study the sine-Gordon (SG) equation which characterises the dynamical behavior of the superconducting phase in ...
Du, Jiangfeng, Tian, Zehua
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