In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite metric which asymptotically do not converge to free fields, but to free dipole fields. Also, we give explicit formulae for the (nontrivial) scattering matrix of...

A Chern-Simons gauged Nonlinear Schrödinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices correspond to the self-dual Chern Simons solitons and are described by the Liouville equation. The related magnetic topological charge is associated with the ...

We study an integrable deformation of the super-Liouville theory which generates a RG flows to the critical Ising model as the IR fixed point. This model turns out to be a supersymmetric sinh-Gordon model with spontaneously broken N = 1 supersymmetry. The resulting massless Goldstino is the only stable on-shell particle which controls the IR behaviours. We propose the exact S-matrix of the Gold...

Let ω(Φ) < i be arbitrary. In [28], it is shown that 2 ∩ ‖OD,Θ‖ < ū ( iQ,E ± φ̃,K + c ) . We show that cos (1 ·R′) < ‖j‖ ± L 6= log (−א0) 1 Ry ∪ l̂|D| ≥ Y (s) i ∨ π − V ′′−1 (√ 2‖u‖ ) . This reduces the results of [28] to the continuity of almost everywhere differentiable morphisms. It is not yet known whether log−1 ( 1 f ′′ ) ≤ ⊕ r∈T ∫ 1 א0 tan−1 (−−∞) dM > { ∅ : cos (i) < sinh−1 (10) + d (|ŝ|, ...

Recommended by Stephen L. Clark For any n, the contour integral y cosh x ∮ C cosh zs / sinh z − sinhx n 1 dz, s2 −λ, is associated with differential equation d2y x /dx2 λ n n 1 /coshx y x 0. Explicit solutions for n 1 are obtained. For n 1, eigenvalues, eigenfunctions, spectral function, and eigenfunction expansions are explored. This differential equation which does have solution in terms of t...

Abstract The class of short-range potentials V [M (x) = ∑M m=2(fm + gm sinh x)/ cosh m x is considered as an asymptotically vanishing phenomenological alternative to the popular anharmonic long-range V (x) = ∑N n=2 hnx . We propose a method which parallels the analytic Hill-Taylor description of anharmonic oscillators and represents all the wave functions ψ (x) non-numerically, in terms of cert...

We study on-shell and off-shell properties of the supersymmetric sinh-Gordon and perturbed SUSY Yang-Lee models using the thermodynamic Bethe ansatz and form factors. Identifying the supersymmetric models with the Eight Vertex Free Fermion Model, we derive inversion relation for inhomogeneous transfer matrix and TBA equations and get correct UV results. We obtain two-point form factors of the t...

Radiation forces of highly focused radially polarized hollow sinh-Gaussian beams on a Rayleigh metallic particle Zhou Zhang, Hua-Feng Xu, Jun Qu & Wei Huang a Institute of Physics and Materials Science, Anhui University, Hefei, China b Laboratory of Atmospheric Physico-Chemistry, Anhui Institute of Optics & Fine Mechanics, Chinese Academy of Sciences, Hefei, China c School of Environmental Scie...

Integrals involving the functions log (2 sinh(0/2)) and log(2sin(0/2)) are studied, particularly their relationship to the values of the Riemann zeta function at integral arguments. For example general formulae are proved which contain the known results Γ log 2 (2sin(0/2))d0 = 7π 3 /108, Jo Γ 01og 2 (2sin(0/2))d0 = 17τr 4 /6480, Jo / (log 4 (2sin(0/2))-^0 2 log 2 (2sin(0/2)))d0 = 253π 5 /3240, ...