We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and reflection amplitudes are expressed in terms of Jacobian elliptic functions, and generalize the ones of the massive thermal Ising model and of the Sinh-Gordon ...

We have studied non-Ohmic effects in hopping conduction in moderately compensated ion-implanted Si:P, B both nand p-type and neutron-transmutation-doped Ge:Ga,As over the temperature range 0.05–0.8 K and up to moderately strong electric fields. In the limit of small fields, where the current is proportional to applied voltage, the resistivities of these materials are approximated over a wide te...

This paper presents a method of evaluation of four integrals of Howland type, which involve a Bessel function in the integrands. With the aid of tabulated values, they are evaluated to 10D. Two of the four Howland integrals needed in the evaluation are evaluated anew to 20D in order to provide adequate accuracy. In a recent investigation of certain problems in elasticity concerning elliptic bou...

This preliminary report studies immersed surfaces of constant mean curvature in H through their adjusted Gauss maps (as harmonic maps in S) and their adjusted frames in SU(2). Lawson’s correspondence between Euclidean CMC surfaces and their hyperbolic cousins is interpreted here under a different perspective: the equivalence of their Weierstrass representations (normalized potentials). This wor...

We classify the operator content of local hermitian scalar operators in the SinhGordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure of dimension n for the form factors F2n and F2n−1. Analyzing the cluster property of the form factors, a particular class of these solutions can be identified...

We demonstrate that for the sine-Gordon theory at the free fermion point, the 2point correlation functions of the fields exp(iαΦ) for 0 < α < 1 can be parameterized in terms of a solution to a sinh-Gordon-like equation. This result is derived by summing over intermediate multiparticle states and using the form factors to express this as a Fredholm determinant. The proof of the differential equa...

The sinh-Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine-Gordon breather reflection factors suggest an interesting dual relationship between models with different boundary conditions. Ghoshal's formula for the lightest breather is checked perturbatively to O(β 2) in the special set o...

The infinite series Rp = P ∞ k=1 (2k − 1) −p x 2k−1 , 0 < 1 − x 1, p = 2 or 3 , and the related series C(x, b, 2) = ∞ X k=1 (2k − 1) −2 cosh(2k − 1)x/ cosh(2k − 1)b, 0 < 1 − x/b 1, S(x, b, 3) = ∞ X k=1 (2k − 1) −3 sinh(2k − 1)x/ cosh(2k − 1)b, are of interest in problems concerning contact between plates and unilateral supports. This article will reexamine a previously published result of Barat...