Sphalerons and Large Order Behavior of Perturbation Theory in Lower Dimension

Details Sphalerons and Large Order Behavior of Perturbation Theory in Lower Dimension Sphalerons and Large Order Behavior of Perturbation Theory in Lower Dimension

1994-04-22

arxiv.org/abs/hep-ph/9404328v2

Nucl.Phys. B434 (1995) 245-263

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 9 figures, LaTeX, preprint INR-850/94

Scientific paper

10.1016/0550-3213(94)00447-M

Sphalerons -- unstable static solutions of classical field equations in (d+1)-dimensional space-time -- may be viewed as euclidean solutions in d dimensions. We discuss their role in the large order asymptotics of the perturbation theory. Specifically, we calculate their contribution to the large order behaviour of the ground state energy in a quantum mechanical model. When the number of negative modes is odd, single sphaleron contribution dominates, while this contribution vanishes when the number of negative modes is even. These results are confirmed by numerical calculations.

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