Quantum Liouville Field Theory as Solution of a Flow Equation
نویسنده
چکیده
A general framework for the Weyl invariant quantization of Liouville field theory by means of an exact renormalization group equation is proposed. This flow equation describes the scale dependence of the effective average action which has a built-in infrared cutoff. For c < 1 it is solved approximately by a truncation of the space of action functionals. We derive the Ward identities associated to Weyl transformations in presence of the infrared cutoff. They are used to select a specific universality class for the renormalization group trajectory which is found to connect two conformal field theories with central charges 25 − c and 26 − c, respectively.
منابع مشابه
Quantum Exchange Algebra and Locality in Liouville Theory
Exact operator solution for quantum Liouville theory is investigated based on the canonical free field. Locality, the field equation and the canonical commutation relations are examined based on the exchange algebra hidden in the theory. The exact solution proposed by Otto and Weigt is shown to be correct to all order in the cosmological constant. PACS: 11.10.Kk, 11.25.Hf, 11.25.Pm
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