Zamalodchikov's C-Theorem and The Logarithmic Conformal Field Theory

Details Zamalodchikov's C-Theorem and The Logarithmic Conformal Field Theory Zamalodchikov's C-Theorem and The Logarithmic Conformal Field Theory

1997-07-05

arxiv.org/abs/hep-th/9707060v3

Phys.Lett. B431 (1998) 85-89

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, no figures, some references are added, The role of coefficients of the OPE in LCFT on the beta-functions are

Scientific paper

10.1016/S0370-2693(98)00563-2

We consider perturbation of a conformal field theory by a pair of relevant logarithmic operators and calculate the beta function up to two loops. We observe that the beta function can not be derived from a potential. Thus the renormalization group trajectories are not always along decreasing values of the central charge. However there exists a domain of structure constants in which the c-theorem still holds.

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