We study the Hawking radiation in a monopole black hole background in SO(3) Einstein-Yang-Mills-Higgs system. We only consider a massless scalar field which does not couple with the Yang-Mills field or Higgs field around the black hole. Starting from a Reissner-Nortström black hole, and assuming that it transits into a monopole black hole at a critical point, we find that the evaporation rate w...

One of the main issues in the Hamiltonian formulation of Yang-Mills theories is to find the projection from the phase space of canonical variables constrained by the non-Abelian Gauss law to the “smaller” phase space of unconstrained gauge invariant coordinates only. Dealing with the problem of the elimination of the pure gauge degrees of freedom two approaches exist, the perturbative and the n...

We comment on various aspects of topological gauge theories possessing N T ≥ 2 topological symmetry: 1. We show that the construction of Vafa-Witten and Dijkgraaf-Moore of 'bal-anced' topological field theories is equivalent to an earlier construction in terms of N T = 2 superfields inspired by supersymmetric quantum mechanics. 2. We explain the relation between topological field theories calcu...

I articulate and discuss a geometrical interpretation of Yang-Mills theory. Analogies and disanalogies between Yang-Mills theory and general relativity are also considered.

We show that a special choice of light-cone gauge can greatly simplify the calculation of the classical color field created in the initial stages of nucleus-nucleus collisions. Within this gauge, we can in particular construct explicitly the conserved color current and calculate exactly the gauge field immediately after the collision. This field is used as a boundary condition in an iterative s...

A lemma from elliptic theory is used to improve a recent result by Li concerning the removability of an isolated point singularity from solutions of the coupled Yang-Mills-Dirac equations. MSC2000: 35J60, 70S15 Recently, Wei Li proved [2] that a smooth solution of the coupled YangMills-Dirac equations in a punctured Euclidean 4-disk B\{0} is equivalent via a continuous gauge transformation to a...

The correlator of two field strengths is computed from an effective action for Yang Mills theories, which contains both gluons and an auxiliary antisymmetric tensor field for the field strength as local variables. This action allows to relate explicitly many different approaches to confinement, and is computed using Wilsonian renormalization group equations with the bare Yang Mills action as st...

Abstract: The equation of state associated with N = 4 supersymmetric Yang–Mills in four dimensions, for SU(N) in the large N limit, is investigated using the AdS/CFT correspondence. An asymptotically AdS black-hole on the gravity side provides a thermal background for the Yang–Mills theory on the boundary in which the cosmological constant is equivalent to a volume. The thermodynamic variable c...

We review here the work done on the occurence of chaotic configurations in systems derived from Gauge theories. These include Yang-Mills and associated field theories with modifications including Chern Simons and Higgs fields.

We have considered SU(2) ⊗ U(1) gauge field theory describing electroweak interactions. We have demonstrated that centrifugal term in model Hamiltonian increases the region of regular dynamics of Yang-Mills and Higgs fields system at low densities of energy. Also we have found analytically the approximate relation for critical density of energy of the order to chaos transition on centrifugal co...