自发对称破缺的非摄动方面

J. Gamboa, J. López-Sarrión
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引用次数: 0

摘要

研究了标量量子场论的超局部极限,即$E\approx m$(或红外极限)下的自发对称破缺。在这个极限中,我们证明了在四维欧几里得空间中的$ \varphi^4$理论描述了自然的瞬子。此外,在红外极限下,我们证明了$ \varphi^4$与自对偶杨-米尔斯理论之间存在精确的映射。我们还考虑了希格斯入口的红外极限中的自发对称性破缺,并演示了高能量状态如何变得不稳定并将假真空转化为真真空。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonperturbative aspects of spontaneous symmetry breaking
Spontaneous symmetry breaking is studied in the ultralocal limit of a scalar quantum field theory, that is when $E\approx m$ (or infrared limit). In this limit we show that a $ \varphi^4$ theory in the euclidean space in four-dimensions describes naturally instantons. Furthermore, in the infrared limit we show that there is an exact map between $ \varphi^4$ with self-dual Yang-Mills theories. The spontaneous symmetry breaking in the infrared limit for a Higgs portal is also considered and we demonstrate how states of higher energy becomes unstable and spread converting a false vacuum in a true one.
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