The sphaleron energy for SU(2)-Higgs from cooling
Margarita Garcia Perez, Pierre van Baal
TL;DR
This paper extends a cooling algorithm to compute the sphaleron energy in SU(2)-Higgs theory at infinite Higgs self-coupling, achieving results consistent with variational methods.
Contribution
It generalizes the cooling algorithm for saddle points to the SU(2)-Higgs model at infinite Higgs self-coupling, providing a new computational approach.
Findings
Sphaleron energy calculated as 5.08(7) M_W/α_W
Results are consistent with previous variational calculations
Method offers a new way to analyze saddle points in gauge theories
Abstract
The cooling algorithm for saddle points presented in ref. [1] is generalized to obtain static classical solutions of the SU(2)-Higgs field theory in the limit of infinite Higgs self-coupling. The sphaleron energy obtained via this algorithm is to be compared with 5.0707 obtained in the variational approach [2].
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