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In this letter, we find the first dynamically stable non-singular solution spherically symmetric SU(2) Einstein-Yang-Mills equation. This solutions is regular at r=0 and asymptotically flat. Since the Yang-Mills field strength decay…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Yuewen Chen , Shing-Tung Yau

By casting the Yang-Mills-Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similiar solutions for Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-28 Douglas Singleton

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Martin Bojowald

Recently, gauge field theory approaches were extensively used in order to discuss the physical consequences of spin-orbit interactions in condensed matter physics. An SU(2)$\times$U(1) gauge theory is very naturally borne out and provides…

Other Condensed Matter · Physics 2014-09-23 Bertrand Berche , Ernesto Medina

We study a static, spherically symmetric system of (2j+1) massive Dirac particles, each having angular momentum j, j=1,2,..., in a classical gravitational and SU(2) Yang-Mills field. We show that for any black hole solution of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

Numerical evidence is presented for the existence of a new family of static, globally regular `cosmological' solutions of the spherically symmetric Einstein-Yang-Mills-Higgs equations. These solutions are characterized by two natural…

General Relativity and Quantum Cosmology · Physics 2010-11-19 P. Breitenlohner , P. Forgács , D. Maison

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…

High Energy Physics - Theory · Physics 2011-07-19 K. S. Gupta , R. J. Henderson , S. G. Rajeev , O. T. Turgut

The model of dark matter is presented where the dark matter is a \emph{classical} gauge field. A spherical symmetric solution of Yang-Mills equation is obtained. The asymptotic behavior of the gauge fields and matter density is…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 V. Dzhunushaliev , K. Myrzakulov , R. Myrzakulov

We give the exact solution of classical equation of motion of a quartic scalar massless field theory showing that this is massive and is represented by a superposition of free particle solutions with a discrete spectrum. Then we show that…

High Energy Physics - Theory · Physics 2009-03-18 Marco Frasca

The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and…

Quantum Physics · Physics 2007-05-23 N. P. Landsman

Color confinement is the most puzzling phenomenon in the theory of strong interaction based on a quantum SU(3) Yang-Mills theory. The origin of color confinement supposed to be intimately related to non-perturbative features of the…

High Energy Physics - Theory · Physics 2020-12-29 D. G. Pak , Takuya Tsukioka

Based on a generalized Yang-Mills framework, gravitational and strong interactions can be unified in analogy with the unification in the electroweak theory. By gauging $T(4) \times [SU(3)]_{color} $ in flat space-time, we have a unified…

High Energy Physics - Theory · Physics 2015-05-30 Jong-Ping Hsu

We categorize the global structure of spherically symmetric static solutions of Einstein SU(2) Yang Mills equations with positive cosmological constant that are smooth at the center of spherical symmetry.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander N. Linden

New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers $m,n$. It…

High Energy Physics - Theory · Physics 2007-05-23 Ya. M. Shnir

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

We study classical solutions in the SU(2) Einstein-Yang-Mills-Higgs theory. The spherically symmetric ans\"atze for all fields are given and the equations of motion are derived as a system of ordinary differential equations. The asymptotics…

High Energy Physics - Theory · Physics 2022-09-28 Junji Jia

We present results from a lattice study of SU(2) color, N=1 supersymmetric Yang-Mills theory using domain wall fermions. Supersymmetry in this particular lattice formulation is expected to emerge in the continuum and chiral limits without…

High Energy Physics - Lattice · Physics 2010-01-21 Michael G. Endres

We compute, in the large N limit, the quark potential for ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory broken to $SU(N_1) \times SU(N_2)$. At short distances the quarks see only the unbroken gauge symmetry and have an attractive…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Minahan , N. P. Warner

Classical vacuum - pure gauge - solutions of Euclidean two-dimensional SU(2) Yang-Mills theories are studied. Topologically non-trivial vacua are found in a class of gauge group elements isomorphic to $S_2$. These solutions are unexpectedly…

High Energy Physics - Theory · Physics 2009-10-30 A. Bassetto , G. Nardelli

We provide a set of exact solutions of the classical Yang-Mills equations. They have the property to satisfy a massive dispersion relation and hold in all gauges. These solutions can be used to describe the vacuum of the quantum Yang-Mills…

Mathematical Physics · Physics 2017-01-20 Marco Frasca