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We study the behaviour of Yang-Mills theory under the inclusion of gravity. In the weak- gravity limit, the running gauge coupling receives no contribution from the gravitational sector, if all symmetries are preserved. This holds true with…

高能物理 - 理论 · 物理学 2015-05-27 Sarah Folkerts , Daniel F. Litim , Jan M. Pawlowski

The Yang-Mills theory associated with the restricted Lorentz group is revisited as a candidate for a theory of gravity. This is a natural idea because the principle of equivalence of gravitation and inertia suggests to introduce locally…

广义相对论与量子宇宙学 · 物理学 2020-06-01 Hans Christian Öttinger

The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives,…

广义相对论与量子宇宙学 · 物理学 2020-09-16 Hans Christian Öttinger

We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the…

广义相对论与量子宇宙学 · 物理学 2024-11-08 Jack Gegenberg , Gabor Kunstatter

This report provides a geometrical Yang-Mills theory, including gravity. The theory treats the space-time symmetry of the local Lorentz group in the same manner as the internal gauge symmetry. We extend this general relativistic Yang-Mills…

广义相对论与量子宇宙学 · 物理学 2026-01-28 Yoshimasa Kurihara

We reconsider the unified model of gravitation and Yang--Mills interactions proposed by Chakraborty and Peld\'an, in the light of recent formal developments in loop quantum gravity. In particular, we show that one can promote the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 R. Gambini , S. Jay Olson , J. Pullin

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity…

广义相对论与量子宇宙学 · 物理学 2025-08-05 Cláudio Gomes

We determine the most general form of the interaction between the gravitational field and an arbitrary Yang-Mills system of fields (massless and massive). We work in the perturbative quantum framework of the causal approach (of Epstein and…

高能物理 - 理论 · 物理学 2008-08-27 D. R. Grigore , G. Scharf

By considering specific limits in the gauge coupling constant of pure Yang--Mills dynamics, it is shown how there exist topological quantum field theory sectors in such systems defining nonperturbative topological configurations of the…

高能物理 - 理论 · 物理学 2007-05-23 Jan Govaerts

This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. Here we consider interacting quantum field theories, specificlly we…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Bianca Dittrich , Thomas Thiemann

The concept of freely falling frames suggests that gravity exhibits a local Lorentz gauge symmetry and requires a background Minkowski reference frame. The gauge vector fields of a Yang-Mills-type theory can be constructed from the…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Hans Christian Öttinger

In this thesis we investigate two different sets of physics questions, aiming at a better understanding of the low-energy behaviour of Yang-Mills theories, and the properties connected to confinement, in a first part. In a second part, we…

高能物理 - 理论 · 物理学 2011-11-08 Astrid Eichhorn

The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the viability of this idea, by applying it to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Carlo Rovelli , Simone Speziale

The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

高能物理 - 理论 · 物理学 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

We construct a unified covariant derivative that contains the sum of an affine connection and a Yang-Mills field. With it we construct a lagrangian that is invariant both under diffeomorphisms and Yang-Mills gauge transformations. We assume…

广义相对论与量子宇宙学 · 物理学 2007-07-10 Max Chaves

A quantum field theory formalism is reviewed that leads to a self-consistent, finite quantum gravity, Yang-Mills and Higgs theory, which is unitary and gauge invariant to all orders of perturbation theory. The gauge hierarchy problem is…

高能物理 - 唯象学 · 物理学 2007-05-23 J. W. Moffat

Using analyticity of the vacuum wave-functional under complex scalings, the vacuum of a quantum field theory may be reconstructed from a derivative expansion valid for slowly varying fields. This enables the eigenvalue problem for the…

高能物理 - 理论 · 物理学 2007-05-23 Paul Mansfield

It is well known that by using the infinite dimensional symmetries that issue from string theories, one can build 2D geometric field theories. These 2D field theories can be identified with gravitational and gauge anomalies that arise in…

高能物理 - 理论 · 物理学 2008-02-03 R. P. Lano , V. G. J. Rodgers

We study a model of quantum Yang-Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space-time is a two dimensional cylinder. We…

高能物理 - 理论 · 物理学 2011-07-19 K. S. Gupta , R. J. Henderson , S. G. Rajeev , O. T. Turgut

A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner…

高能物理 - 理论 · 物理学 2009-09-25 Richard J. Szabo
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