Chiral Vertex Operators in Off-Conformal Theory: The Sine-Gordon Example

Details Chiral Vertex Operators in Off-Conformal Theory: The Sine-Gordon Example Chiral Vertex Operators in Off-Conformal Theory: The Sine-Gordon Example

1993-11-18

arxiv.org/abs/hep-th/9311107v1

Phys.Rev. D53 (1996) 2102-2114

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, Univ. of Illinois Preprint # ILL-(TH)-93-19

Scientific paper

10.1103/PhysRevD.53.2102

We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal system. We find that these operators, which would have been primary fields in the conformal limit, have interesting and, in some ways, unexpected properties in the SG model. Some of them continue to have scale- invariant dynamics even in the presence of the non-conformal cosine interaction. For instance, it is shown that the Mandelstam operator for the bosonic representation of the Fermi field does {\it not} develop a mass term in the SG theory, contrary to what the real Fermi field in the massive Thirring model is expected to do. It is also shown that in the presence of the non-conformal interactions, some vertex operators have unique Lorentz spins, while others do not.

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