The Yang-Mills field strength incorporating a non-abelian feature is one of the cornerstones of the standard model. Although Yang-Mills gauge theories have been around for over fifty years, surprisingly the derivation of the Yang-Mills field strength using classical gauge theory does not appear anywhere in the literature. In their 1954 paper, Yang and Mills had to invent a non-Abelian field str...

the asymptotically ads solutions of the einstein gravity with hyperbolic horizons in the presence of so(n(n-1)/2- 1,1) yang-mills fields governed by the non-abelian born-infeld lagrangian are presented. we investigate the properties of these solutions as well as their asymptotic behavior in various dimensions. the properties of these kinds of solutions are like the einstein-yang-mills solutions...

We define a natural generalized symmetry of the Yang-Mills equations as an infinitesimal transformation of the Yang-Mills field, built in a local, gauge invariant, and Poincaré invariant fashion from the Yang-Mills field strength and its derivatives to any order, which maps solutions of the field equations to other solutions. On the jet bundle of Yang-Mills connections we introduce a spinorial ...

We consider a Yang–Mills theory in loop space with an affine Lie gauge group. The Chapline–Manton coupling, the coupling between Yang–Mills fields and an abelian antisymmetric tensor field of the second rank via the Chern– Simons term, is systematically derived within the framework of the Yang–Mills theory. The generalized Chapline–Manton couplings, the couplings among nonabelian tensor fields ...

We study pseudo Yang-Mills fields on a compact strictly pseudoconvex CR manifold M , i.e. the critical points of the functional PYM(D) = 1 2 ∫ M ‖πHR‖θ∧(dθ), where D is a connection in a Hermitian CR-holomorphic vector bundle (E, h) → M . Let Ω = {φ < 0} ⊂ C be a smoothly bounded strictly pseuodoconvex domain and g the Bergman metric on Ω. We show that boundary valuesDb of Yang-Mills fieldsD on...

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a massive Yang-Mills field. The resolution is achieved by first solving the free eigenvalue problem for the gravitational field and then the constrained eigenvalue problem for the Yang-Mills field. In the latter case the mass of the Yang-Mills field assumes the role of the eigenva...

Finding solutions to non-linear field theories, such as Yang-Mills theories or general relativity, is usually difficult. The field equations of Yang-Mills theories and general relativity are known to share some mathematical similarities , and this connection can be used to find solutions to one theory using known solutions of the other theory. For example, the Schwarzschild solution of general ...

A s recently as 2010, three groups received the J. J. Sakurai Prize for showing how spontaneous symmetry breaking explains the mechanism for generating vector boson masses, thus enabling the solution of one of the puzzles of the standard model of elementary particles. Since the Yang-Mills field strength incorporating a nonabelian feature is not only one of the cornerstones of the standard model...

By comparision with numerical results in the maximal Abelian projection of lattice Yang-Mills theory, it is argued that the nonperturbative dynamics of Yang Mills theory can be described by a set of fields that take their values in the coset space SU(2)/U(1). The Yang-Mills connection is parameterized in a special way to separate the dependence on the coset field. The coset field is then regard...

We present a topological Lagrangian field theory that is geometrically similar to Yang-Mills(-Higgs) theory, and study the Bogomol'nyi solitons contained within this theory. The topological field theory may provide an example of a dual field theory. The existence of a dual field theory to Yang-Mills(-Higgs) theory was conjectured by Montonen and Olive.