论文标题

自发对称破坏的非扰动方面

Non-Perturbative Aspects of Spontaneous Symmetry Breaking

论文作者

Gamboa, Jorge, Lopez-Sarrion, Justo

论文摘要

在标量量子场理论的超局部限制中,研究了自发对称性破裂,即$ e \ o \ of M $(或红外极限)。在此限制中,我们表明欧几里得空间中的$φ^4 $理论在四维中描述了自然激体。此外,在红外极限中,我们表明具有$φ^4 $之间的精确映射,并具有自dual Yang-Mills理论。还考虑了Higgs门户的红外极限中的自发对称性破坏,我们证明了较高能量状态如何变得不稳定并在真空中转化为假真空。

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 $ φ^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 $ φ^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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