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

M. R. Rahimi Tabar, S. Rouhani

hep-tharXiv:hep-th/9707060

Abstract

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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