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

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.

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

Cited by in corpus (13)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Boundary Logarithmic Conformal Field Theory
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Disordered Systems and Logarithmic Conformal Field Theory
• Gradient Flow in Logarithmic Conformal Field Theory
• Legendre's Relation and the Quantum Equivalence osp(4|4)_(1) = osp(2|2)_(-2) + su(2)_(0)
• Logarithmic Conformal Field Theory Solutions of Two Dimensional Magnetohydrodynamics
• Extended chiral algebras in the SU(2)_0 WZNW model
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Extended multiplet structure in Logarithmic Conformal Field Theories
• Stress Energy tensor in LCFT and the Logarithmic Sugawara construction
• Perturbed Logarithmic CFT and Integrable Models