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Proper time regulator and Renormalization Group flow

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arxiv hep-th/0106230 v1 pith:DMEIHUMJ submitted 2001-06-25 hep-th

classification hep-th
keywords limitflowproperregulatortimeclassdimensionsequations
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We consider some applications of the Renormalization Group flow equations obtained by resorting to a specific class of proper time regulators. Within this class a particular limit that corresponds to a sharpening of the effective width of the regulator is investigated and a procedure to analytically implement this limit on the flow equations is shown. We focus on the critical exponents determination for the O(N) symmetric scalar theory in three dimensions. The large N limit and some perturbative features in four dimensions are also analysed. In all problems examined the results are optimized when the mentioned limit of the proper time regulator is taken.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards gauge independence in asymptotically safe quantum gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussia...

  2. Asymptotically Safe Gravitational Form Factors from the Proper-Time Flow Equation

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundar...

  3. Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory

    hep-th 2026-01 conditional novelty 5.0 of 10

    Gravity's non-minimal coupling drives the quartic self-coupling of an O(N) scalar to zero at an attractive fixed point, making the broken-phase theory UV-complete and bounding the scalar mass.

  4. Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    Proper-time FRG applied to gravity-coupled O(N) scalars largely reproduces scaling solutions and critical properties found with the effective average action, with some quantitative differences at finite and large N de...

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