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Bounce solutions and the transition to thermal hopping in phi^4 theory with a phi^3 term

Hatem Widyan·A. Mukherjee·N. Panchapakesan·R. P. Saxena
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Abstract

The nature of the transition from quantum tunneling at low temperatures to thermal hopping at high temperatures is investigated in a scalar field theory with cubic symmetry breaking. The bounce solution which interpolates between the zero-temperature and high-temperature solutions is obtained numerically, using a multigrid method. It is found that, for a small value of the symmetry-breaking coupling f, the transition is first-order. For higher values of f, the transition continues to be first-order, though weakly so.

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Hatem Widyan, A. Mukherjee, N. Panchapakesan, R. P. Saxena. 1998-09-02. Bounce solutions and the transition to thermal hopping in phi^4 theory with a phi^3 term. https://doi.org/10.1103/physrevd.59.045003

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