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 QFTs |
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. |
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