Analytical approach to the transition to thermal hopping in the thin- and thick-wall approximations

Details Analytical approach to the transition to thermal hopping in the thin- and thick-wall approximations Analytical approach to the transition to thermal hopping in the thin- and thick-wall approximations

1999-06-15

arxiv.org/abs/hep-th/9906117v1

Phys.Rev. D62 (2000) 025003

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 22 pages, 4 Postscript figures

Scientific paper

10.1103/PhysRevD.62.025003

The nature of the transition from the quantum tunneling regime at low temperatures to the thermal hopping regime at high temperatures is investigated analytically in scalar field theory. An analytical bounce solution is presented, which reproduces the action in the thin-wall as well as thick-wall limits. The transition is first order for the case of a thin wall while for the thick wall case it is second order.

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