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arxiv 2208.01064 v1 pith:PE3ERZII submitted 2022-08-01 hep-th cond-mat.stat-mechhep-ph

Memories of quenches in operator mixing

classification hep-th cond-mat.stat-mechhep-ph
keywords mixingoperatortimepotentialquenchesscalarscalarstheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We work perturbatively with an interacting quantum field theory comprised of two distinct scalar fields. In this theory, we introduce a sudden quench of the mass of one of the scalars at time $t_0$. Also, the quartic interaction between the two scalars is turned on at time $t_{in}$. These break time-translation invariance. In this setup we examine the effects of the relative ordering of $t_0$ and $t_{in}$ on composite operator mixing. We study how such operator mixing affect features of the scalar potential. We find that the late time effective potential can be sensitive enough to the quenches to trigger phase transitions.

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