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Chiral effective theories with a light scalar at one loop

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arxiv 1906.01879 v2 pith:7JTWTROU submitted 2019-06-05 hep-ph hep-lat

Oscar Cata , Christoph Mueller This is my paper · ORCID
classification hep-phhep-lat
keywords chiraleffectivescalartheoriestheoryfieldgoldstonelight
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

There are indications that some theories with spontaneous symmetry breaking also feature a light scalar in their spectrum, with a mass comparable to the one of the Goldstone modes. In this paper, we perform the one-loop renormalization of a theory of Goldstone modes invariant under a chiral $SU(n)\times SU(n)$ symmetry group coupled to a generic scalar singlet. We employ the background field method, together with the heat kernel expansion, to get an expression for the effective action at one loop and single out the anomalous dimensions, which can be read off from the second Seeley-DeWitt coefficient. As a relevant application, we use our master formula to renormalize chiral-scale perturbation theory, an alternative to $SU(3)$ chiral perturbation theory where the $f_0(500)$ meson is interpreted as a dilaton. Based on our results, we briefly discuss strategies to test and discern both effective field theories using lattice simulations.

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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. Light dilaton from top-down holographic confinement with magnetic fluxes

    hep-th 2026-02 conditional novelty 6.0 of 10

    In a two-flux family of top-down holographic confining theories, the lightest scalar is an approximate dilaton with mass about one tenth of the lightest spin-2 confinement scale, over a wide, untuned region of paramet...

  2. Dilaton Effective Field Theory across the Conformal Edge

    hep-lat 2025-12 conditional novelty 5.0 of 10

    Fitting a dilaton EFT with a free exponent Δ to lattice spectra indicates SU(3) N_f=8 is confining (Δ<4) and SU(2) adjoint is infrared conformal (Δ>4).

  3. Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A Skyrme model with a dilaton field attributes the proton's negative internal pressure and confining force to the gluonic scale anomaly, and reproduces the lattice QCD D(t) form factor.

  4. Dilatonic states, phase transitions, and criticality in holography

    hep-th 2026-07 accept novelty 3.0 of 10

    A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.

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