Asymptotically Safe QED

Gies, Holger; Ziebell, Jobst

doi:10.48550/arxiv.2005.07586

Cited by 3 publications

(3 citation statements)

References 65 publications

(95 reference statements)

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“…Asymptotic safety has also been searched for in simple and chiral Yukawa models [992][993][994][995] and in gauged chiral Yukawa models in [996]. Recently, asymptotic safety in QED with a Pauli term was explored in [997], whereas a search for asymptotic safety in axion electrodynamics can be found in [998]. Beyond the Standard Model, asymptotic safety in the dark-matter sector was explored in [999]; for studies including gravity we refer to Sec.…”

Section: Electroweak Phase Transition Bsm Physics and Supersymmetrymentioning

confidence: 99%

The nonperturbative functional renormalization group and its applications

et al. 2021

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Section: Electroweak Phase Transition Bsm Physics and Supersymmetrymentioning

confidence: 99%

The nonperturbative functional renormalization group and its applications

et al. 2021

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“…We have referred to non-perturbative applications a couple of times in this paper. There are already quite a few preceding works that investigate nonperturbatively on fixed points and critical exponents of abelian gauge theory [59][60][61][62]. It should be quite interesting to reexamine the results using our manifestly gauge invariant formalism.…”

Section: Perturbative Solutionmentioning

confidence: 98%

One-particle irreducible Wilson action in the gradient flow exact renormalization group formalism

Sonoda¹,

Sano²

2022

Preprint

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We define a one-particle irreducible (1PI) Wilson action in the gradient flow exact renormalization group (GFERG) formalism as the Legendre transform of a Wilson action. We consider quantum electrodynamics in particular, and show that the GFERG flow equation preserves the invariance of the 1PI Wilson action (excluding the gauge-fixing term) under the conventional U (1) gauge transformation. This is in contrast to the invariance of the original Wilson action under a modified U (1) gauge transformation. The global chiral transformation also takes the conventional form for the 1PI Wilson action. Despite the complexity of the GFERG flow equation, the conventional form of the gauge and global chiral transformations may allow us to introduce a non-perturbative Ansatz for gauge and chiral invariant 1PI Wilson actions.

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“…This fact prohibits a simple perturbative UV completion of the SM, although it is not a settled fact that the SM as a whole suffers from a triviality problem. Separately, it is known that the scalar sector suffers from a triviality problem [98], as does the Abelian gauge sector [99]; see however [100] for the suggestion of an asymptotically safe version of QED.…”

Section: Gravitational Contribution To the Flow Of Matter Couplingsmentioning

confidence: 99%

Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators

Brito

Eichhorn

2023

Eur. Phys. J. C

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We explore the effect of quantum gravity on matter within a Renormalization Group framework. First, our results provide an explicit example of how misleading conclusions can be drawn by analyzing the gravitational contributions to beta functions, instead of analyzing universal quantities, such as critical exponents, that can be extracted from the beta functions. This could be key to explain differences between perturbative studies and Functional Renormalization Group studies. Second, we strengthen the evidence that asymptotically safe gravity could generate a predictive ultraviolet completion for matter theories with gauge interactions, even in the limit of vanishing dimensionful regulator function. We also find that the situation can be more subtle with higher-order, gravity-induced matter interactions.

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Asymptotically Safe QED

Cited by 3 publications

References 65 publications

The nonperturbative functional renormalization group and its applications

The nonperturbative functional renormalization group and its applications

One-particle irreducible Wilson action in the gradient flow exact renormalization group formalism

Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators

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