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Several exact, cylindrically symmetric solutions to Einstein's vacuum equations are given. These solutions were found using the connection between Yang-Mills theory and general relativity. Taking known solutions of the Yang-Mills equations…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Douglas Singleton

Non-Abelian plasma instabilities play a crucial role in the nonequilibrium dynamics of a weakly coupled quark-gluon plasma and they importantly modify the standard perturbative bottom-up thermalization scenario in heavy-ion collisions.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Anton Rebhan , Michael Strickland , Maximilian Attems

A classical solution to the Yang-Mills theory is given a new semiclassical interpretation in terms of particle scattering. It solves the complex time boundary value problem, which arises in the semiclassical approximation to a multi…

High Energy Physics - Phenomenology · Physics 2010-11-01 Thomas M. Gould , Erich R. Poppitz

This article gives explicit solutions to the Yang-Mills equations. The solutions have positive energy that can be made arbitrarily small by selection of a parameter showing that Yang-Mills field theories do not have a mass gap.

General Mathematics · Mathematics 2010-11-23 Jorma Jormakka

We calculate the general planar dual-conformally invariant double-pentagon and pentabox integrals in four dimensions. Concretely, we derive one-fold integral representations for these elliptic integrals over polylogarithms of weight three.…

High Energy Physics - Theory · Physics 2024-10-18 Anne Spiering , Matthias Wilhelm , Chi Zhang

Using the gauge/gravity duality we calculate the heavy quark-antiquark potential in a hot, anisotropic and strongly coupled Yang-Mills plasma in (3+1)-dimensions. As the anisotropic medium we take a deformed version of \mathcal{N} = 4 super…

High Energy Physics - Theory · Physics 2013-07-22 Somdeb Chakraborty , Najmul Haque

The equations of a relative equilibrium in a pure Yang--Mills gauge theory with the Coulomb gauge fixing are obtained. They are derived as a direct consequence of the results of our previous work on Wong's equations in gauge theory.The…

Mathematical Physics · Physics 2017-11-15 S. N. Storchak

In this paper we analytically extract the odd azimuthal anisotropy in the Classical Yang-Mills equations for the Glasma for pA collisions. We compute the first non-trivial term in the expansion of the proton sources of color charge. The…

High Energy Physics - Phenomenology · Physics 2018-06-12 Larry McLerran , Vladimir Skokov

We use singular Euclidean solutions to find multi-particle production cross sections in field theories. We investigate a family of time-dependent O(3) symmetrical solutions of the Yang--Mills equations, which govern the isotropic…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. Diakonov , V. Petrov

The dynamics of strongly interacting particles are governed by Yang-Mills (Y-M) theory, which is a natural generalization of Maxwell Electrodynamics (ED). Its quantized version is known as quantum chromodynamics (QCD) and has been very well…

Plasma Physics · Physics 2023-12-29 Subramanya Bhat K N , Amita Das , V Ravishankar , Bhooshan Paradkar

We argue on a basis of a simple few mode model of SU(2) Yang-Mills theory that the color off-diagonal coupling of the soft plasmon to hard thermal excitations of the gauge field drives the collective plasma oscillations into chaotic motion…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. S. Biro , S. G. Matinyan , B. Muller

This is a next paper from a sequel devoted to algebraic aspects of Yang-Mills theory. We undertake a study of deformation theory of Yang-Mills algebra YM - a ``universal solution'' of Yang-Mills equation. We compute (cyclic) (co)homology of…

High Energy Physics - Theory · Physics 2007-05-23 M. Movshev

We report recent results on the role of instabilities in the isotropization and thermalization of a longitudinally expanding system of quantum fields.

High Energy Physics - Phenomenology · Physics 2012-10-08 K. Dusling , T. Epelbaum , F. Gelis , R. Venugopalan

We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Breitenlohner , Dieter Maison , D. H. Tchrakian

Due to anisotropic momentum distributions the parton system produced at the early stage of relativistic heavy-ion collisions is unstable with respect to the magnetic plasma modes. The instabilities isotropize the system and thus speed up…

High Energy Physics - Phenomenology · Physics 2011-03-31 Stanislaw Mrowczynski

When the quark-gluon plasma (QGP) - a system of deconfined quarks and gluons - is in a nonequilibrium state, it is usually unstable with respect to color collective modes. The instabilities, which are expected to strongly influence dynamics…

High Energy Physics - Phenomenology · Physics 2017-06-07 Stanislaw Mrowczynski , Bjoern Schenke , Michael Strickland

Thermalization of quark-gluon plasmas in heavy-ion collisions is a difficult theoretical problem. One theoretical goal has been to understand the physics of thermalization in the relatively simplifying limit of arbitrarily high energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 Peter Arnold , Guy D. Moore

We suggest one of the possible ways to compensate the large negative quantum-topological QCD contribution to the vacuum energy density of the Universe by means of a positive constant contribution from a cosmological Yang-Mills field. An…

General Relativity and Quantum Cosmology · Physics 2013-07-18 Roman Pasechnik , Vitaly Beylin , Grigory Vereshkov

In 1959 Weibel demonstrated that when a QED plasma has a temperature anisotropy there exist unstable transverse magnetic excitations which grow exponentially fast. In this paper we will review how to determine the growth rates for these…

High Energy Physics - Phenomenology · Physics 2017-08-23 Paul Romatschke , Michael Strickland

A supersymmetric collective coordinate expansion of the monopole solution of $N=4$ Yang-Mills theory is performed resulting in an $N=4$ supersymmetric quantum mechanics on the moduli space of monopole solutions.

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum