Symmetry of Bounce Solutions at Finite Temperature
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917326841970688 |
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| author | Shoji, Yutaro Yamaguchi, Masahide |
| author_facet | Shoji, Yutaro Yamaguchi, Masahide |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_05950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry of Bounce Solutions at Finite Temperature Shoji, Yutaro Yamaguchi, Masahide High Energy Physics - Theory Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology Mathematical Physics 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. |
| title | Symmetry of Bounce Solutions at Finite Temperature |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2511.05950 |