Exact scheme independence at one loop

Abstract

The requirement that the quantum partition function be invariant under a renormalization group transformation results in a wide class of exact renormalization group equations, differing in the form of the kernel. Physical quantities should not be sensitive to the particular choice of the kernel. We demonstrate this scheme independence in four dimensional scalar field theory by showing that, even with a general kernel, the one-loop beta function may be expressed only in terms of the effective action vertices, and thus, under very general conditions, the universal result is recovered.

13 pages, no figures, version to appear in JHEP, includes some minor corrections

References in corpus (4)

• Exact evolution equation for the effective potential
• Lectures on the functional renormalization group method
• Gauge invariant regularisation via SU(N|N)
• Gauge invariant regularisation in the ERG approach

Cited by in corpus (27)

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• A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
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• Exact scheme independence at two loops
• Manifestly diffeomorphism invariant classical Exact Renormalization Group
• Manifestly gauge invariant QED
• BRST in the Exact RG
• Triviality from the Exact Renormalization Group
• A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
• Scheme Independence to all Loops
• Background independent exact renormalisation
• General Computations Without Fixing the Gauge
• A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills
• Universality From Very General Nonperturbative Flow Equations in QCD
• On the Renormalization of Theories of a Scalar Chiral Superfield
• Renormalization group and diffusion equation
• Conformal anomaly from gauge fields without gauge fixing
• Properties of a proposed background independent exact renormalization group
• Manifestly gauge invariant computations
• Exact renormalization group for wave functionals
• Higher derivative extension of the functional renormalization group
• Sensitivity of Nonrenormalizable Trajectories to the Bare Scale
• Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes