Functional RG flow equation: regularization and coarse-graining in phase space

Abstract

Starting from the basic path integral in phase space we reconsider the functional approach to the RG flow of the one particle irreducible effective average action. On employing a balanced coarse-graining procedure for the canonical variables we obtain a functional integral with a non trivial measure which leads to a modified flow equation. We first address quantum mechanics for boson and fermion degrees of freedom and we then extend the construction to quantum field theories. For this modified flow equation we discuss the reconstruction of the bare action and the implications on the computation of the vacuum energy density.

19 pages, latex, few remarks and an equation added, version to be published on Phys. Rev. D

References in corpus (8)

• Exact evolution equation for the effective potential
• Nonperturbative Evolution Equation for Quantum Gravity
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Optimisation of the exact renormalisation group
• Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Vacuum energy and relativistic invariance
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Cited by in corpus (7)

• The unitary conformal field theory behind 2D Asymptotic Safety
• Functional renormalization group of the non-linear sigma model and the O(N) universality class
• BRST invariant RG flows
• Limit of vanishing regulator in the functional renormalization group
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Functional RG flow of the effective Hamiltonian action
• Vacuum Energy and Renormalization of the Field-Independent Term