Fermionic structure in the sine-Gordon model: form factors and null-vectors

Details Fermionic structure in the sine-Gordon model: form factors and null-vectors Fermionic structure in the sine-Gordon model: form factors and null-vectors

2011-05-31

arxiv.org/abs/1105.6209v1

Nucl.Phys.B852:390-440,2011

Physics

Mathematical Physics

56 pages, 7 figures

Scientific paper

10.1016/j.nuclphysb.2011.06.016

The form factor bootstrap in integrable quantum field theory allows one to capture local fields in terms of infinite sequences of Laurent polynomials called `towers'. For the sine-Gordon model, towers are systematically described by fermions introduced some time ago by Babelon, Bernard and Smirnov. Recently the authors developed a new method for evaluating one-point functions of descendant fields, using yet another fermions which act on the space of local fields. The goal of this paper is to establish that these two fermions are one and the same object. This opens up a way for answering the longstanding question about how to identify precisely towers and local fields.

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