We construct a classical mechanics Hamiltonian which exhibits spontaneous symmetry breaking akin the Coleman-Weinberg mechanism, dimensional transmutation, and asymptotically free self-similarity congruent with the beta-function of four dimensional Yang-Mills theory. Its classical equations of motion support stable periodic orbits and in a three dimensional projection these orbits are self-link...

Recent results obtained within the Hamiltonian approach to continuum Yang-Mills theory in Coulomb gauge are reviewed. INTRODUCTION There have been many attempts in the past to solve the Yang-Mills Schrödinger equation using gauge invariant wave functionals. Unfortunately, all these approaches have not been blessed with much success2. The reason is that it is extremely difficult to work with gau...

We find solutions of the Yang-Mills field equations with gauge group SU(2) in 4k dimensions which have the interpretation of four-dimensional instantons at angles. These configurations satisfy a BPS-like condition which arises in the context of two-dimensional (4,0)-supersymmetric sigma models. Moreover we show that these solutions are examples of Hermitian-Einstein connections on E. In the pas...

The vortex picture of the Yang-Mills vacuum, initially proposed as a possible mechanism of colour confinement, has recently attracted a renewed attention. This is mainly due to the advent of new gauge fixing techniques which permit the detection of center vortex structures directly within lattice Yang-Mills configurations. Numerical studies have revealed that the center projection vortices dete...

Some time ago, Svetitsky and Yaffe have argued that — if the de-confinement phase transition of a (d + 1)-dimensional Yang-Mills theory with gauge group G is second order — it should be in the universal-ity class of a d-dimensional spin model symmetric under the center of G. For d = 3 these arguments have been confirmed numerically only in the SU(2) case with center Z Z(2), simply because all S...

The 2-surface characterization of special classical radiative Higgs-, Yang–Mills and linear zero-rest-mass fields with any spin is investigated. We determine all the zero quasi-local mass Higgsand Yang–Mills field configurations with compact semisimple gauge groups, and show that they are plane waves (provided the Higgs field is massless and linear) and appropriate generalizations of plane wave...

In enlarging the field content of pure Yang-Mills theory to a cutoff dependent matrix valued complex scalar field, we construct a vectorial operator, which is by definition invariant with respect to the gauge transformation of the Yang-Mills field and with respect to a Stueckelberg type gauge transformation of the scalar field. This invariant operator converges to the original Yang-Mills field ...

It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R. We show that such solutions exist in SU(N) gauge theory on the spaces R × S and R × S × S with Minkowski signature (− + ++). In the temporal gauge they are solutions of pure Yang-Mills theory on T × S, where T is R or S. Namely, imposing SO(3)-invariance and some reality cond...

Over the last three decades the exportation rate of raw sawlogs from Illinois to neighboring states for processing has nearly doubled. While the exportation of sawlogs has adverse impacts on the Illinois wood products manufacturing sector and local forest landowners, little research has been conducted to understand how the spatial arrangement of timber mills affects sawlog exportation. This res...

We establish a nonminimal Einstein-Yang-Mills-Higgs model, which contains six coupling parameters. First three parameters relate to the nonminimal coupling of non-Abelian gauge field and gravity field, two parameters describe the so-called derivative nonminimal coupling of scalar multiplet with gravity field, and the sixth parameter introduces the standard coupling of scalar field with Ricci sc...