't Hooft anomalies in metals

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1. Verfasser: Else, Dominic V.
Format: Preprint
Veröffentlicht: 2025
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author Else, Dominic V.
author_facet Else, Dominic V.
contents I review some recent results on understanding the physics of metals in an exact non-perturbative way through the powerful field-theoretic concepts of emergent symmetries and 't Hooft anomalies. A 't Hooft anomaly is a discrete topological property that quantum field theories with global symmetries can have. I explain how many of the properties of metals can in fact be viewed as direct consequences of the anomaly. This allows a structural understanding of metals, including non-Fermi liquids, to be obtained even in the absence of any exact solution for the strongly coupled dynamics. I then outline the main limitations and outstanding questions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19471
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle 't Hooft anomalies in metals
Else, Dominic V.
Strongly Correlated Electrons
High Energy Physics - Theory
I review some recent results on understanding the physics of metals in an exact non-perturbative way through the powerful field-theoretic concepts of emergent symmetries and 't Hooft anomalies. A 't Hooft anomaly is a discrete topological property that quantum field theories with global symmetries can have. I explain how many of the properties of metals can in fact be viewed as direct consequences of the anomaly. This allows a structural understanding of metals, including non-Fermi liquids, to be obtained even in the absence of any exact solution for the strongly coupled dynamics. I then outline the main limitations and outstanding questions.
title 't Hooft anomalies in metals
topic Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2502.19471