On Exact Proper Time Wilsonian RG Flows

Abstract

We discuss the possibility to define exact RG equations for a UV regulated Wilsonian action based on a proper time (PT) regulator function. We start from a functional mapping which shows how each particular flow equation (and RG scheme) is associated to infinitely many scale dependent field redefinitions, which are related to specific coarse-graining procedures. On specializing to a sub-family of one parameter PT regulators we briefly analyze few results for the Ising Universality class in three dimensions, obtained within a second order truncation in the derivative expansion of the Wilsonian action.

arXiv comment18 pages, 1 figure, revtex, few clarifying comments and references added

References in corpus (26)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Exact Renormalisation Group and Approximate Solutions
• Aspects of the Functional Renormalisation Group
• Exact Renormalization Group Equations. An Introductory Review
• An Introduction to the Nonperturbative Renormalization Group
• Derivative Expansion of the Exact Renormalization Group
• Fundamentals of the Exact Renormalization Group
• Elements of the Continuous Renormalization Group
• On Truncations of the Exact Renormalization Group
• Running coupling in Yang-Mills theory - a flow equation study -
• Proper Time Flow Equation for Gravity
• Completeness and consistency of renormalisation group flows
• Ising exponents from the functional renormalisation group
• On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations
• Wilsonian flows and background fields
• The Invar tensor package: Differential invariants of Riemann
• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
• Exact Scheme Independence
• Perturbation theory and renormalisation group equations
• Predictive power of renormalisation group flows: a comparison
• Proper time regulator and Renormalization Group flow
• Spontaneous Symmetry Breaking and Proper-Time Flow Equations
• The heat-kernel and the average effective potential
• Exact RG Flow Equations and Quantum Gravity
• Perturbative and non-perturbative aspects of the proper time renormalization group

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• Relational Lorentzian Asymptotically Safe Quantum Gravity: Showcase model
• Structural aspects of FRG in quantum tunnelling computations
• Tunneling with physics-informed RG flows in the anharmonic oscillator
• On the regularization of Lifshitz-type field theories
• Physics-informed operator flows and observables
• Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory