Sphalerons and Other Saddles from Cooling
arXiv:hep-lat/9403026 · doi:10.1016/0550-3213(94)00332-7
Abstract
We describe a new cooling algorithm for SU(2) lattice gauge theory. It has any critical point of the energy or action functional as a fixed point. In particular, any number of unstable modes may occur. We also provide insight in the convergence of the cooling algorithms. A number of solutions will be discussed, in particular the sphalerons for twisted and periodic boundary conditions which are important for the low-energy dynamics of gauge theories. For a unit cubic volume we find a sphaleron energy of resp. $\cE_s=34.148(2)$ and $\cE_s=72.605(2)$ for the twisted and periodic case. Remarkably, the magnetic field for the periodic sphaleron satisfies at all points $\Tr B_x^2=\Tr B_y^2=\Tr B_z^2$.
18 p, 6 figs appended (uuencoded) (figs 4 and 6 in Mathematica format, containing raw data. If you like movies, replace Show[...] by ShowAnimation[Table[Plx[i],{i,1,12}]]. Have fun!)
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Cited by in corpus (24)
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