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The Renormalization Group and Weyl-invariance

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arxiv 1210.3284 v1 pith:ZTWREPKO submitted 2012-10-11 hep-th gr-qc

A. Codello , G. D'Odorico , C. Pagani , R. Percacci This is my paper · ORCID
classification hep-thgr-qc
keywords mattercaseconsiderdilatongroupmetricrenormalizationaction
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We consider matter fields conformally coupled to a background metric and dilaton and describe in detail a quantization procedure and related renormalization group flow that preserve Weyl invariance. Even though the resulting effective action is Weyl-invariant, the trace anomaly is still present, with all its physical consequences. We discuss first the case of free matter and then extend the result to interacting matter. We also consider the case when the metric and dilaton are dynamical and gravitons enter in the loops.

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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. Bridging the gap between dark matter and MOND by a relativistc scalar field approach

    gr-qc 2025-10 conditional novelty 6.0 of 10

    A single relativistic scalar field with a Bekenstein-type kinetic term and a mass-generating term reproduces deep-MOND acceleration in the weak-field limit and predicts stronger-than-MOND light bending.

  2. Fixed points of classical gravity coupled with a Standard-Model-like theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A free conformal matter content with n1/2=4n1 and n'_0=3n1 gives a UV fixed point where all stress tensor correlators are finite; the Standard Model with right-handed neutrinos and 36 four-derivative scalars is such a theory.

  3. Conformal symmetry, SM and Gravity

    hep-th 2026-07 conditional novelty 5.0 of 10

    A Weyl-invariant SM+mirror-dark-matter+gravity model is developed via algebraic renormalization; its conformal cohomology is claimed trivial, and the required counterterms could — the author concedes not conclusively ...

  4. Anomaly footprints in SM+Gravity

    hep-th 2025-10 conditional novelty 4.0 of 10

    A mirror right-handed copy of the standard model, sharing only gravity and SU(2), is claimed to be anomaly-free, proposed as dark matter, and wrapped in a Weyl-invariant early-universe solution.

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