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We consider a scalar-metric gauge theory of gravity with independent metric, connection and dilaton. The role of the dilaton is to provide the scale of all masses, via its vacuum expectation value. In this theory, we study the…

High Energy Physics - Theory · Physics 2009-10-28 R. Floreanini , R. Percacci

Any theory can be made Weyl invariant by introducing a dilaton. It is shown how to construct renormalization group equations for gravity that maintain this property. Explicit calculations are given only in the simplest approximation, namely…

High Energy Physics - Theory · Physics 2015-06-03 R. Percacci

Gravity can be considered as an effective quantum field theory with reliable, but limited predictions. Though the influence of gravity on gauge and other interactions of elementary particles is still an open question. We calculate the…

High Energy Physics - Phenomenology · Physics 2017-06-15 G. Cynolter , E. Lendvai

A general model of dialton-Maxwell gravity in two dimensions is investigated. The corresponding one-loop effective action and the generalized $\beta$-functions are obtained. A set of models that are fixed points of the renormalization group…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta…

High Energy Physics - Theory · Physics 2015-06-17 Yu Nakayama

Recently an interesting idea has been put forward by Robinson and Wilczek that incorporation of quantized gravity in the framework of abelian and nonabelian gauge theories results in a correction to the running of gauge coupling and, in…

High Energy Physics - Theory · Physics 2008-11-26 Artur R. Pietrykowski

A general criterion is given for the vanishing of the beta-functions in N=1 supersymmetric gauge theories.

High Energy Physics - Theory · Physics 2008-02-03 Olivier Piguet

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated…

High Energy Physics - Theory · Physics 2009-11-18 Ian Jack , D. R. Timothy Jones , Philipp Kant , Luminita Mihaila

The quantum gauge general relativity is proposed in the framework of quantum gauge theory of gravity. It is formulated based on gauge principle which states that the correct symmetry for gravitational interactions should be gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ning Wu

A recent result concerning interacting theories of self-dual tensor gauge fields in six dimensions is generalized to include coupling to gravity. The formalism makes five of the six general coordinate invariances manifest, whereas the sixth…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz

We compute the one-loop gauge couplings in six-dimensional non-Abelian gauge theories on the T^2/Z_2 orbifold with general GUT breaking boundary conditions. For concreteness, we apply the obtained general formulae to the gauge coupling…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hyun Min Lee

We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-Nf term of the five-loop Beta function…

High Energy Physics - Phenomenology · Physics 2017-12-06 Thomas Luthe , Andreas Maier , Peter Marquard , York Schroder

We find a dual gravity theory to pure confining N=1 supersymmetric SU(N) gauge theory in four dimensions which has the correct gauge coupling running in addition to reproducing the appropriate pattern of chiral symmetry breaking. It is…

High Energy Physics - Theory · Physics 2008-01-03 Girma Hailu

Dependence on the graviton gauge enters the conventional effective field equations because they fail to account for quantum gravitational correlations with the source which excites the effective field and with the observer who measures it.…

High Energy Physics - Theory · Physics 2024-07-30 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

The scaling behaviour of euclidean quantum gravity at an asymptotically safe critical point is studied by means of the exact renormalisation group. Gauge independence is ensured via a specific parameterisation of metric fluctuations…

High Energy Physics - Theory · Physics 2015-11-17 Kevin Falls

We study the role of categorical symmetries in constraining the renormalisation of couplings in two-dimensional non-linear sigma models with Wess-Zumino term. A large class of these theories admit self-duality symmetries associated with…

High Energy Physics - Theory · Physics 2025-09-26 Guillermo Arias-Tamargo , Chris Hull , Maxwell L. Velásquez Cotini Hutt

We prove that $\be$-function of the gauge coupling in $2+1D$ gauge theory coupled to any renormalizable system of spinor and scalar fields is zero. This result holds both when the gauge field action is the Chern-Simons action and when it is…

High Energy Physics - Theory · Physics 2015-06-26 A. N. Kapustin , P. I. Pronin

We obtain the $\beta$-functions for the two dimensionless couplings of a 4d renormalizable scalar field theory with cubic and quartic 4-derivative interactions. Both couplings can be asymptotically free in the UV, and in some cases also in…

High Energy Physics - Theory · Physics 2023-06-19 Bob Holdom

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and…

High Energy Physics - Theory · Physics 2016-11-23 Thomas A. Ryttov , Robert Shrock

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull