Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems by Malo Tarpin

Author:Malo Tarpin
Language: eng
Format: epub
ISBN: 9783030398712
Publisher: Springer International Publishing

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thus the configurations which satisfy the causality property on the correlation functions are given by , for any . Accordingly, any configuration of the fields satisfies the causality property on the vertex functions. For interacting theories, we ask that the causality property for vertex functions is verified along the RG flow in any configuration of the fields for which the response fields are set to zero. It can be checked that this condition is verified at the initial condition of the flow, for example if the bare action has been obtained using the MSRJD formalism. It has been shown in a NPRG setting in Canet et al. (2011), Benitez and Wschebor (2013) that this property is conserved along the RG flow on the condition that the regulator itself satisfies it. Explicitly, we must have

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