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The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this…

高能物理 - 理论 · 物理学 2011-05-26 Alfredo Takashi Suzuki

Exact solutions of classical gauge theories in even-dimensional (D=2n) spacetimes are discussed. Common and specific properties of these solutions are analyzed for the particular dimensions D=2, D=4, and D=6. A consistent formulation of…

高能物理 - 理论 · 物理学 2015-06-26 B. P. Kosyakov

In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to an external…

高能物理 - 理论 · 物理学 2014-10-28 Herbert Balasin , Daniel N. Blaschke , Francois Gieres , Manfred Schweda

To explore color/kinematics duality for general representations of the gauge group we formulate the duality for general abelian orbifolds of the SU(N), N=4 super Yang-Mills theory in four dimensions, which have fields in the bi-fundamental…

高能物理 - 理论 · 物理学 2015-06-17 Marco Chiodaroli , Qingjun Jin , Radu Roiban

Noncommutative ${\cal N}=1$ and ${\cal N}=2$ supersymmetric Yang-Mills theories with gauge group U(N) are studied here using the background field method and superspace background covariant D-algebra in perturbation theory. At one loop…

高能物理 - 理论 · 物理学 2014-11-18 Daniela Zanon

The dissipative dynamics of a heavy quark passing through charged thermal plasmas of strongly coupled ${\cal N}=4$ super Yang-Mills theory is studied using AdS/CFT. We compute the linear response of the dilaton field to a test string in the…

高能物理 - 理论 · 物理学 2007-05-23 Yi-hong Gao , Wei-shui Xu , Ding-fang Zeng

Here we examine the noncommutative counterpart of QED, which is called as noncommutative QED. The theory is obtained by examining the consistent minimal coupling to noncommutative U(1) gauge field. The *-product admits the coupling of the…

高能物理 - 理论 · 物理学 2009-10-31 M. Hayakawa

Recent progress in the nonperturbative solution of (3+1)-dimensional Yukawa theory and quantum electrodynamics and (1+1)-dimensional super Yang--Mills theory is summarized.

高能物理 - 唯象学 · 物理学 2009-11-10 J. R. Hiller

Motivated by some recent progress involving a non-compact gauge group, we obtain classical gauge fields using non-compact foliations of anti-de Sitter space in 4 dimensions (required dimensionality for conformal invariance of Yang-Mills…

高能物理 - 理论 · 物理学 2023-10-03 Kaushlendra Kumar

We present three schemes to go beyond the electric-dipole approximation in X-ray absorption spectroscopy calculations within a four-component relativistic framework. The first is based on the full semi-classical light-matter interaction…

化学物理 · 物理学 2021-07-02 Nanna Holmgaard List , Timothé Romain Léo Melin , Martin van Horn , Trond Saue

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

We construct the gravity dual of three-dimensional, $SU(N_{\textrm{c}})$ super Yang-Mills theory with $N_{\textrm{f}}$ flavors of dynamical quarks in the presence of a non-zero quark density $N_{\textrm{q}}$. The supergravity solutions…

高能物理 - 理论 · 物理学 2016-04-20 Antón F. Faedo , Arnab Kundu , David Mateos , Christiana Pantelidou , Javier Tarrío

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true…

高能物理 - 理论 · 物理学 2013-01-17 Dan-Radu Grigore

U(1) gauge theory on ${\bf R}^4$ is known to possess an electric-magnetic duality symmetry that inverts the coupling constant and extends to an action of $SL(2,{\bf Z})$. In this paper, the duality is studied on a general four-manifold and…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten

Recently, we found the supersymmetric counterpart of the spectral triple. When we restrict the representation space to the fermionic functions of matter fields, the counterpart which we name "the triple" reduces to the original spectral…

高能物理 - 理论 · 物理学 2014-07-23 Satoshi Ishihara , Hironobu Kataoka , Atsuko Matsukawa , Hikaru Sato , Masafumi Shimojo

A version of non-Abelian monopole equations is explored through dimensional reductions, with often the addition of algebraic conditions. On zero curvature spaces, spinor related extensions of integrable systems have been generated, and…

高能物理 - 理论 · 物理学 2007-05-23 M. Legare

Perturbation theory for non-abelian gauge theories at finite temperature is plagued by infrared divergences which are caused by magnetic soft modes ~g^2T, corresponding to gluon fields of a 3d Yang-Mills theory. While the divergences can be…

高能物理 - 唯象学 · 物理学 2011-07-14 Owe Philipsen , Daniel Bieletzki , York Schroder

We estimate the instanton-induced vacuum energy in non-commutative U(1) Yang-Mills theory in four dimensions. In the dilute gas approximation, it is found to be plagued by infrared divergences, as a result of UV/IR mixing.

高能物理 - 理论 · 物理学 2007-05-23 Andreas A. Bichl

Yang-Mills theory is growing at the interface between high energy physics and mathematics. It is well known that Yang-Mills theory and Gauge theory in general had a profound impact on the development of modern differential and algebraic…

偏微分方程分析 · 数学 2015-06-16 Tristan Rivière

We analyse Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-abelian Yang-Mills theory. For the sake of simplicity, we take a zero mass gauge field multiplet…

高能物理 - 理论 · 物理学 2018-08-08 Y. R. Batista , Brigitte Hiller , Adriano Cherchiglia , Marcos Sampaio