2,368 research outputs found

    Form factors of boundary exponential operators in the sinh-Gordon model

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    Using the recently introduced boundary form factor bootstrap equations, the form factors of boundary exponential operators in the sinh-Gordon model are constructed. The ultraviolet scaling dimension and the normalization of these operators are checked against previously known results. The construction presented in this paper can be applied to determine form factors of relevant primary boundary operators in general integrable boundary quantum field theories.Comment: 22 pages, LaTeX2e fil

    Finite size effects in quantum field theories with boundary from scattering data

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    We derive a relation between leading finite size corrections for a 1+1 dimensional quantum field theory on a strip and scattering data, which is very similar in spirit to the approach pioneered by Luscher for periodic boundary conditions. The consistency of the results is tested both analytically and numerically using thermodynamic Bethe Ansatz, Destri-de Vega nonlinear integral equation and classical field theory techniques. We present strong evidence that the relation between the boundary state and the reflection factor one-particle couplings, noticed earlier by Dorey et al. in the case of the Lee-Yang model extends to any boundary quantum field theory in 1+1 dimensions.Comment: 24 pages, 1 eps figure. Clarifying comments and a reference adde

    Boundary Quantum Field Theories with Infinite Resonance States

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    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 model. In the case of the generalized Ising model we explicitly study the ground state energy and the one-point function of the thermal operator in the short-distance limit, finding an oscillating behaviour related to the fact that the infinite series of boundary resonances does not decouple from the theory even at very short-distance scales. The analysis of the generalized Sinh-Gordon model with boundary reveals an interesting constraint on the analytic structure of the reflection amplitude. The roaming limit procedure which leads to the Ising model, in fact, can be consistently performed only if we admit that the nature of the bulk spectrum uniquely fixes the one of resonance states on the boundary.Comment: 18 pages, 11 figures, LATEX fil

    Form-factors computation of Friedel oscillations in Luttinger liquids

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    We show how to analytically determine for g≤1/2g\leq 1/2 the "Friedel oscillations" of charge density by a single impurity in a 1D Luttinger liquid of spinless electrons.Comment: Revtex, epsf, 4pgs, 2fig

    Comparative Study on the Nomenclature of the Nerves of the Forearm and Forefoot of the Domestic Animals

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    A review of the textbooks of the anatomy of domestic animals, applied anatomy, operative surgery and various other publications pertaining to these regions, both in English and foreign literature, indicate that a variety of terms which are often very confusing are used to designate nerves, especially in the digital region. Therefore, the purpose of this paper is to summarize and compare the various terminologies of the nerves of the forearm (antebranchium) and forefoot (manus) in our domestic animals
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