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arXiv · 2511.05950

Symmetry of Bounce Solutions at Finite Temperature

Yutaro Shoji·Masahide Yamaguchi
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Abstract

The seminal work of Coleman, Glaser, and Martin established that, at zero temperature, any non-trivial solution to the equations of motion with the least Euclidean action is $O(D)$-symmetric. This paper extends their foundational analysis to finite temperature. We rigorously prove that for a broad class of scalar potentials, any saddle-point configuration with the least action is necessarily $O(D\!-\!1)$-symmetric and monotonic in the spatial directions. This result provides a firm mathematical justification for the symmetry properties widely assumed in studies of thermal vacuum decay and cosmological phase transitions.

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Yutaro Shoji, Masahide Yamaguchi. 2025-11-08. Symmetry of Bounce Solutions at Finite Temperature. https://arxiv.org/abs/2511.05950

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