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Efthimiou, Costas; LeClair, André

Particle-field duality and form factors from vertex operators. (English) Zbl 0839.58071

Commun. Math. Phys. 171, No. 3, 531-546 (1995).
Summary: Using a duality between the space of particles and the space of fields, we show how one can compute form factors directly in the space of fields. This introduces the notion of vertex operators, and form factors are vacuum expectation values of such vertex operators in the space of fields. The vertex operators can be constructed explicitly in radial quantization. Furthermore, these vertex operators can be exactly bosonized in momentum space. We develop these ideas by studying the free-fermion point of the sine-Gordon theory, and use this scheme to compute some form-factors of some non-free fields in the sine-Gordon theory. This work further clarifies earlier work of one of the authors, and extends it to include the periodic sector.

Cited in 5 Documents

MSC:

58Z05 Applications of global analysis to the sciences
81T10 Model quantum field theories
35Q55 NLS equations (nonlinear Schrödinger equations)

Keywords:

Lagrangian field theory; sine-Gordon model; duality; space of particles; space of fields; form factors; vertex operators
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References:

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