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In the present paper, we consider a model of non-minimal modified Yang-Mills theory in the Friedmann-Robertson-Walker cosmology, in which the Yang-Mills field couples to the scalar curvature through a function of its first invariant. We…

广义相对论与量子宇宙学 · 物理学 2012-09-13 V. K. Shchigolev , G. N. Orekhova

In this paper, we use the direct minimizing method to find Yang-Mills connections for $SO(3)$ bundles over closed four manifolds. By constructing test connections, we prove that a minimizing sequence converges strongly to a minimizer under…

微分几何 · 数学 2021-09-21 Hao Yin

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

高能物理 - 理论 · 物理学 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

By doing a small $c$ (speed of light) expansion of $SU(N)$ Yang-Mills fields, we construct two different electric and two different magnetic sectors actions of Carrollian Yang-Mills theory. For both electric and magnetic cases, one sector…

高能物理 - 理论 · 物理学 2023-06-14 Minhajul Islam

Non-perturbative investigations of $\mathcal N = 4$ supersymmetric Yang--Mills theory formulated on a space-time lattice have advanced rapidly in recent years. Large-scale numerical calculations are currently being carried out based on a…

高能物理 - 格点 · 物理学 2018-05-11 David Schaich

We present some of the latest results from our numerical investigations of N=4 supersymmetric Yang--Mills theory formulated on a space-time lattice. Based on a construction that exactly preserves a single supersymmetry at non-zero lattice…

高能物理 - 格点 · 物理学 2022-09-21 David Schaich , Simon Catterall , Poul H. Damgaard , Joel Giedt

We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes. Starting with an algebra bundle and a…

数学物理 · 物理学 2011-03-28 Jord Boeijink , Walter D. van Suijlekom

The radiative correction to beta function is comprehensively studied at 1 loop in the context of universal extra dimensions. Instead of using cutoffs to regularize 1-loop divergences, the dimensional regularization scheme is used. Large…

高能物理 - 唯象学 · 物理学 2020-07-01 M. Huerta-Leal , H. Novales-Sánchez , J. J. Toscano

We formulate the canonical structure of Yang--Mills theory in terms of Poisson brackets of gauge invariant observables analogous to Wilson loops. This algebra is non--trivial and tractable in a light--cone formulation. For U(N) gauge…

高能物理 - 理论 · 物理学 2015-06-26 S. G. Rajeev , O. T. Turgut

We present a very simple and explicit procedure for nonlocalizing the action of any theory which can be formulated perturbatively. When the resulting nonlocal field theory is quantized using the functional formalism --- with unit measure…

高能物理 - 理论 · 物理学 2009-10-22 Gary Kleppe , R. P. Woodard

In this paper, we endeavour to build up a non-Abelian formulation to describe the self-interactions of massless vector bosons in the context of Loop Quantum Gravity (LQG). To accomplish this task, we start off from the modified Maxwell…

高能物理 - 理论 · 物理学 2024-12-24 G. L. L. W. Levy , José A. Helayël-Neto

The Euclidean version of the Yang-Mills theory is studied in four dimensions. The field is expressed non-linearly in terms of the basic variables. The field is developed inductively, adding one excitation at a time. A given excitation is…

高能物理 - 唯象学 · 物理学 2016-09-01 Paul Federbush

The status of several representative gauge theories on various quantum space-times, mainly focusing on Yang-Mills type extensions together with a few matrix model formulations is overviewed. The common building blocks are derivation based…

高能物理 - 理论 · 物理学 2025-10-23 Jean-Christophe Wallet

We review a recent progress in constructing low-energy effective action in N=4 super Yang-Mills theories. Using harmonic superspace approach we consider N=4 SYM in terms of unconstrained N=2 superfield and apply N=2 background field method…

高能物理 - 理论 · 物理学 2017-08-23 I. L. Buchbinder

In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so,…

高能物理 - 理论 · 物理学 2009-11-07 I. Martin , A. Restuccia

We analyze quantum Yang-Mills theory on $\mathbb{R}^2$ using a novel discretization method based on an algebraic analogue of stochastic calculus. Such an analogue involves working with "Gaussian" free fields whose covariance matrix is…

数学物理 · 物理学 2018-02-21 Timothy Nguyen

We consider Yang-Mills theories formulated on a non-commutative space-time described by a space-time dependent anti-symmetric field $\theta^{\mu\nu}(x)$. Using Seiberg-Witten map techniques we derive the leading order operators for the…

高能物理 - 唯象学 · 物理学 2009-11-10 Xavier Calmet , Michael Wohlgenannt

We consider noncommutative {\cal N}=4 supersymmetric U(N) Yang-Mills theory. Using the {\cal N}=1 superfield formalism and the background field method we compute one-loop four point contributions to the effective action and compare the…

高能物理 - 理论 · 物理学 2009-10-31 Daniela Zanon

This paper addresses three topics concerning the quantization of non-commutative field theories (as defined in terms of the Moyal star product involving a constant tensor describing the non-commutativity of coordinates in Euclidean space).…

We construct and study the Yang-Mills measure in two dimensions. According to the informal description given by the physicists, it is a probability measure on the space of connections modulo gauge transformations on a principal bundle with…

概率论 · 数学 2007-05-23 Thierry Levy