Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory

A. C. Lehum; A. J. da Silva; M. Gomes

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Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory

M. Gomes, A. C. Lehum, A. J. da Silva

High Energy Physics - Theory · Submitted 5 Aug 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our findings reveal that gravitational corrections may lead to a non-trivial UV fixed point in the beta function of the gauge coupling constant, contingent upon the specific gauge group and the quantity of fermions involved.

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arXiv ID2408.02512 (version 1)

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CitationA. C. Lehum, A. J. da Silva, M. Gomes. "Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory." arXiv:2408.02512 (2024). https://pith.science/paper/BHNCVMLT

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This paper investigates the coupling of massive fermions to gravity within the context of a non-Abelian gauge theory, utilizing the effective field theory framework for quantum gravity. Specifically, we calculate the two-loop beta function of the gauge coupling constant in a non-Abelian gauge theory, employing the one-graviton exchange approximation. Our findings reveal that gravitational corrections may lead to a non-trivial UV fixed point in the beta function of the gauge coupling constant, contingent upon the specific gauge group and the quantity of fermions involved.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	This paper investigates the coupling of massive fermions to gravity within the context of a non-Abelian gauge theory, utilizing the effective field theory framework for quantum gravity.	contribution 0.81	0.82	0.03	asserted 0.94
s1	Specifically, we calculate the two-loop beta function of the gauge coupling constant in a non-Abelian gauge theory, employing the one-graviton exchange approximation.	method 0.53	0.96	0.05	asserted 0.99
s2	Our findings reveal that gravitational corrections may lead to a non-trivial UV fixed point in the beta function of the gauge coupling constant, contingent upon the specific gauge group and the quantity of fermions involved.	result 0.86	0.95	0.91	hedged possibility 0.98

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Original abstract

This paper investigates the coupling of massive fermions to gravity within the context of a non-Abelian gauge theory, utilizing the effective field theory framework for quantum gravity. Specifically, we calculate the two-loop beta function of the gauge coupling constant in a non-Abelian gauge theory, employing the one-graviton exchange approximation. Our findings reveal that gravitational corrections may lead to a non-trivial UV fixed point in the beta function of the gauge coupling constant, contingent upon the specific gauge group and the quantity of fermions involved.

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Cites it as background 1 paper

Explicit linearized Lagrangians for matter coupled to quadratic gravity, including non-Abelian generalizations, may be found in Refs. [ref] .

Scattering amplitudes in dimensionless quadratic gravity coupled to QED · The QED-agravity Lagrangian · 0.93

What it cites · 16 sentences without a confident label

Uses the method or tool of 6 papers

During these computations, we simplified the scalar two-loop integrals using the Tarasov algorithm [ref] , aided by the computational package TARCER [ref] which reduces the calculation to some basic two-loop integrals which are available in [ref] .

TARCER - A Mathematica program for the reduction of two-loop propagator integrals · Gravitational corrections to the two-loop gluon self-energy · 1.00
During these computations, we simplified the scalar two-loop integrals using the Tarasov algorithm [ref] , aided by the computational package TARCER [ref] which reduces the calculation to some basic two-loop integrals which are available in [ref] .

TSIL: a program for the calculation of two-loop self-energy integrals · Gravitational corrections to the two-loop gluon self-energy · 1.00
During these computations, we simplified the scalar two-loop integrals using the Tarasov algorithm [ref] , aided by the computational package TARCER [ref] which reduces the calculation to some basic two-loop integrals which are available in [ref] .

Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses · Gravitational corrections to the two-loop gluon self-energy · 1.00

Uses data or values from 1 paper

In this appendix, we list the one-loop renormalization constants computed in Ref. [ref] , which are essential for our investigation.

Gravitational corrections to a non-Abelian gauge theory · The one-loop renormalization constants · 0.98

Cites as background 12 papers

Subsequently, numerous studies have been conducted to explore the application of the renormalization group in quantum gravity as an effective field theory [ref] .

Absence of gravitational contributions to the running Yang-Mills coupling · Introduction · 0.89
Subsequently, numerous studies have been conducted to explore the application of the renormalization group in quantum gravity as an effective field theory [ref] .

Cosmological constant and quantum gravitational corrections to the running fine structure constant · Introduction · 0.89
Subsequently, numerous studies have been conducted to explore the application of the renormalization group in quantum gravity as an effective field theory [ref] .

Quantum gravitational contributions to quantum electrodynamics · Introduction · 0.89

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