Exact scheme independence at one loop

Arnone, Stefano; Gatti, Antonio; Morris, Tim R.

doi:10.1088/1126-6708/2002/05/059

Cited by 32 publications

(96 citation statements)

References 24 publications

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“…Furthermore the successful calculations of ref. [18] and here, confirm that the restriction of 'ultralocality' is unnecessary since they do not assume it. )…”

Section: Necessary Properties Of the Exact Rg And Their Interpretationsupporting

confidence: 61%

“…18 Equivalently and more simply, the longitudinal terms follow from any covariantisation of (4.8), e.g.…”

Section: Ensuring No Running Couplings At Tree Levelmentioning

confidence: 99%

“…[18]. In all realisations of the Wilsonian RG there is an unavoidable freedom in the construction, equivalent to regularisation scheme dependence, but especially deeply embedded [8].…”

Section: Introductionmentioning

confidence: 99%

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A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory

2003

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Abstract:We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. The initial stages can even be computed diagrammatically. The method is formulated within the framework of an exact renormalization group for SU (N ) Yang-Mills gauge theory, incorporating an effective cutoff through a manifest spontaneously broken SU (N |N ) gauge invariance. We demonstrate the technique with a compact calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing, for the first time at finite N .

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“…Furthermore the successful calculations of ref. [18] and here, confirm that the restriction of 'ultralocality' is unnecessary since they do not assume it. )…”

Section: Necessary Properties Of the Exact Rg And Their Interpretationsupporting

confidence: 61%

“…18 Equivalently and more simply, the longitudinal terms follow from any covariantisation of (4.8), e.g.…”

Section: Ensuring No Running Couplings At Tree Levelmentioning

confidence: 99%

See 1 more Smart Citation

A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory

2003

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“…In the case of scalar field theory, such a flow equation (withŜ I = 0) was first considered in [52]; the version with more general seed action has been considered in [47,53].…”

Section: Rescalingsmentioning

confidence: 99%

“…When evaluating the β-function perturbatively in a theory which is perturbatively renormalizable, but which may be nonrenormalizable beyond perturbation theory, there is a very useful trick we can use [47,51,53]. Namely, we recognize that, as discussed in the introduction, the Wess-Zumino model is self-similar at the perturbative level.…”

Section: The β-Functionmentioning

confidence: 99%

On the renormalization of theories of a scalar chiral superfield

Rosten

2010

J. High Energ. Phys.

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An exact renormalization group for theories of a scalar chiral superfield is formulated, directly in four dimensional Euclidean space. By constructing a projector which isolates the superpotential from the full Wilsonian effective action, it is shown that the nonperturbative nonrenormalization theorem follows, quite simply, from the flow equation. Next, it is argued that there do not exist any physically acceptable non-trivial fixed points. Finally, the Wess-Zumino model is considered, as a low energy effective theory. Following an evaluation of the one and two loop β-function coefficients, to illustrate the ease of use of the formalism, it is shown that the β-function in the massless case does not receive any nonperturbative power corrections. * Electronic address: orosten@stp.dias.ie 1 Contents

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Manifestly diffeomorphism invariant classical Exact Renormalization Group

Morris

Preston

2016

J. High Energ. Phys.

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We construct a manifestly diffeomorphism invariant Wilsonian (Exact) Renormalization Group for classical gravity, and begin the construction for quantum gravity. We demonstrate that the effective action can be computed without gauge fixing the diffeomorphism invariance, and also without introducing a background space-time. We compute classical contributions both within a background-independent framework and by perturbing around a fixed background, and verify that the results are equivalent. We derive the exact Ward identities for actions and kernels and verify consistency. We formulate two forms of the flow equation corresponding to the two choices of classical fixed-point: the Gaussian fixed point, and the scale invariant interacting fixed point using curvature-squared terms. We suggest how this programme may completed to a fully quantum construction.

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Exact scheme independence at one loop

Cited by 32 publications

References 24 publications

A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory

A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory

On the renormalization of theories of a scalar chiral superfield

Manifestly diffeomorphism invariant classical Exact Renormalization Group

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