STRINGY SPHALERONS AND GAUSS-BONNET TERM

The effect of the Gauss-Bonnet term on the SU(2) non-Abelian regular s tringy sphaleron solutions is studied within the non-perturbative trea tment. It is found that the existence of regular solutions depends cru cially on the value of the numerical factor beta in front of the Gauss -Bonnet term in the four-dimensional effective action. Numerical solut ions are constructed in the N = 1,2, 3 cases for different beta below certain critical values beta(N) which decrease with growing N (N being the number of nodes of the Yang-Mills function). It is proved that fo r any static spherically symmetric asymptotically flat regular solutio n the ADM mass is exactly equal to the dilaton charge. No solutions we re found for beta above critical values, in particular, for beta=1.