Asymptotic freedom of Yang–Mills theory with gravity

Folkerts, Sarah; Litim, Daniel F.; Pawlowski, Jan M.

doi:10.1016/j.physletb.2012.02.002

Cited by 143 publications

(205 citation statements)

References 63 publications

Supporting

Mentioning

193

Contrasting

Order By: Relevance

“…Note that our results also disagree with the recent calculations [33,34] where the running gauge coupling was found to receive no contribution from the gravitational sector. In ref.…”

Section: Discussioncontrasting

confidence: 99%

“…[33], it shared the framework of functional renormalization group with [10] but obtained a different conclusion. The main point in [33] is that it used a modified symmetry identity to criticize the choice of regularization schemes. While in our case, as mentioned, the Slavnov-Taylor identity is satisfied and other criteria, like preserving divergence behavior, has to be used.…”

Section: Discussionmentioning

confidence: 98%

See 1 more Smart Citation

Quantum Gravitational Contributions to Gauge Field Theories

Tang¹,

Wu²

2012

Commun. Theor. Phys.

View full text Add to dashboard Cite

We revisit quantum gravitational contributions to quantum gauge field theories in the gauge condition independent Vilkovisky-DeWitt formalism based on the background field method. With the advantage of Landau-DeWitt gauge, we explicitly obtain the gauge condition independent result for the quadratically divergent gravitational corrections to gauge couplings. By employing, in a general way, a scheme-independent regularization method that can preserve both gauge invariance and original divergent behavior of integrals, we show that the resulting gauge coupling is power-law running and asymptotically free. The regularization scheme dependence is clarified by comparing with results obtained by other methods. The loop regularization scheme is found to be applicable for a consistent calculation.

show abstract

“…Note that our results also disagree with the recent calculations [33,34] where the running gauge coupling was found to receive no contribution from the gravitational sector. In ref.…”

Section: Discussioncontrasting

confidence: 99%

Section: Discussionmentioning

confidence: 98%

Quantum Gravitational Contributions to Gauge Field Theories

Tang¹,

Wu²

2012

Commun. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…For positive η h , the critical value of Λ, for which quantum gravity counteracts asymptotic freedom, is shifted further away from the boundary at Λ = 1/2. Evidence for quantumgravity induced asymptotic freedom was already found in [33,34,37,39], where that same conclusion was reached for Abelian and non-Abelian gauge theories. Moreover, the interplay of quantum gravity and matter degrees of freedom results in an asymptotically safe fixed point at…”

Section: Quantum-gravity Contributions In the Tt Approximationsupporting

confidence: 68%

“…Physically, marginal irrelevance means a growth of the coupling towards the ultraviolet. Asymptotically safe quantum gravity adds a contribution to the beta function of all matter couplings that is linear in the matter coupling [1,16,[33][34][35][36][37][38][39][40][41][42][43][44][45][46]. If the sign of the gravitational contribution is negative, a fundamental change is triggered in the high-energy behavior of the corresponding coupling: the UV-repulsive free fixed point is turned into a UV attractive fixed point.…”

Section: Jhep01(2018)030mentioning

confidence: 99%

Upper bound on the Abelian gauge coupling from asymptotic safety

Eichhorn

Versteegen

2018

J. High Energ. Phys.

121

167

View full text Add to dashboard Cite

Abstract:We explore the impact of asymptotically safe quantum gravity on the Abelian gauge coupling in a model including a charged scalar, confirming indications that asymptotically safe quantum fluctuations of gravity could trigger a power-law running towards a free fixed point for the gauge coupling above the Planck scale. Simultaneously, quantum gravity fluctuations balance against matter fluctuations to generate an interacting fixed point, which acts as a boundary of the basin of attraction of the free fixed point. This enforces an upper bound on the infrared value of the Abelian gauge coupling. In the regime of gravity couplings which in our approximation also allows for a prediction of the top quark and Higgs mass close to the experimental value [1], we obtain an upper bound approximately 35 % above the infrared value of the hypercharge coupling in the Standard Model.

show abstract

“…In the context of asymptotic safety, this has been considered previously in [60][61][62]. In d = 4 the beta function is given by…”

Section: Vector Fieldsmentioning

confidence: 99%

Matter matters in asymptotically safe quantum gravity

2014

View full text Add to dashboard Cite

We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d = 4, 5 and 6 dimensions and within certain approximations find that for a given number of gauge fields there is a maximal number of scalar and fermion degrees of freedom compatible with an interacting fixed point at positive Newton coupling. The bounds impose severe constraints on grand unification with fundamental Higgs scalars. Supersymmetry and universal extra dimensions are also generally disfavored. The standard model and its extensions accommodating right-handed neutrinos, the axion and dark-matter models with a single scalar are compatible with a fixed point.

show abstract

Asymptotic freedom of Yang–Mills theory with gravity

Cited by 143 publications

References 63 publications

Quantum Gravitational Contributions to Gauge Field Theories

Quantum Gravitational Contributions to Gauge Field Theories

Upper bound on the Abelian gauge coupling from asymptotic safety

Matter matters in asymptotically safe quantum gravity

Contact Info

Product

Resources

About