Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series STRINT
Subjects hep-th
Date Thursday 7 December 2017
Time 14:30
Institute LPTENS
Seminar Room LPTENS Library
Speaker's Last Name Ravanini
Speaker's First Name Francesco
Speaker's Email Address
Speaker's Institution Bologna University
Title The c_eff -theorem: Irreversibility of RG Flows in 2D Non-unitary QFT’s
Abstract Abstract: We show irreversibility of the renormalization group flow in non- unitary but PT- invariant quantum field theory in two space-time dimensions. In addition to unbroken PT-symmetry and a positive energy spectrum, we assume standard properties of quantum field theory including a local energy-momentum tensor and relativistic invariance. This generalizes Zamolodchikov's c-theorem to PT- symmetric hamiltonians. Our proof follows closely Zamolodchikov's arguments. We show that a function c_eff (s) of the renormalization group parameter s exists which is non-negative and monotonically decreasing along renormalization group flows. Its value at a critical point is the "effective central charge" entering the specific free energy. At least in rational models, this equals c_eff =c-24 Delta, where c is the central charge and Delta is the lowest primary field dimension in the conformal field theory which describes the critical point.
arXiv Preprint Number

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