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Dynamic critical exponent in quantum long-range models

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arxiv 2404.13963 v1 pith:GISZOCTG submitted 2024-04-22 hep-th cond-mat.stat-mechmath-phmath.MP

Dario Benedetti , Razvan Gurau , Davide Lettera This is my paper · ORCID
classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords lifshitzlong-rangemodelscriticaldynamicexponentfieldfractional
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Quantum long-range models at zero temperature can be described by fractional Lifshitz field theories, that is, anisotropic models whose actions are short-range in time and long-range in space. In this paper we study the renormalization of fractional Lifshitz field theories with weakly relevant cubic or quartic self-interactions. Their nontrivial infrared fixed points exhibit Lifshitz scale invariance, and we compute the lowest-order corrections to the dynamic critical exponent.

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