Zamalodchikov's C-Theorem and The Logarithmic Conformal Field Theory
High Energy Physics - Theory
2009-10-30 v3
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.
Keywords
Cite
@article{arxiv.hep-th/9707060,
title = {Zamalodchikov's C-Theorem and The Logarithmic Conformal Field Theory},
author = {M. R. Rahimi Tabar and S. Rouhani},
journal= {arXiv preprint arXiv:hep-th/9707060},
year = {2009}
}
Comments
10 pages, latex, no figures, some references are added, The role of coefficients of the OPE in LCFT on the beta-functions are disscused