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Finite-volume form factors in semi-classical approximation
Authors:G Mussardo  V Riva  G Sotkov
Institution:

a International School for Advanced Studies, Via Beirut 1, 34100, Trieste, Italy

b Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Trieste, Italy

c Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, Sao Paulo, Brazil

Abstract:A semi-classical approach is used to obtain Lorentz covariant expressions for the form factors between the kink states of a quantum field theory with degenerate vacua. Implemented on a cylinder geometry it provides an estimate of the spectral representation of correlation functions in a finite volume. Illustrative examples of the applicability of the method are provided by the sine-Gordon and the broken φ4 theories in 1+1 dimensions.
Keywords:Form factors  Kink solutions in finite volume  Spectral density in finite volume
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