Semiclassical solution for Yang-Mills field with given energy

Details Semiclassical solution for Yang-Mills field with given energy Semiclassical solution for Yang-Mills field with given energy

2009-03-12

arxiv.org/abs/0903.2079v2

Phys.Rev.D79:105004,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 6 figures

Scientific paper

10.1103/PhysRevD.79.105004

A new classical solution for the Yang-Mills theory in which the Euclidean energy plays a role of a parameter is discussed. The instanton and sphaleron are shown to be particular examples of this more general solution. The energy parameter for them takes on special values, which are zero and sphaleron mass for the instanton and sphaleron, respectively. The solution is employed to describe the tunneling process, which is accompanied by a variation of the topological charge. A range of temperatures, where the new solution makes this tunneling more effective than the known mechanisms based on the instanton, caloron or sphaleron is found.

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