Exact CTP Renormalization Group Equation for the Coarse Grained Effective Action
Diego A. R. Dalvit, Francisco D. Mazzitelli
Abstract
We consider a scalar field theory in Minkowski spacetime and define a coarse grained Closed Time Path (CTP) effective action by integrating quantum fluctuations of wavelengths shorter than a critical value. We derive an exact CTP renormalization group equation and solve it using a derivative expansion approach. Explicit calculation is performed for the λϕ4 theory. We discuss the relevance of the CTP average action in the study of non-equilibrium aspects of phase transitions in quantum field theory.
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