The mixed $0$-form/$1$-form anomaly in Hilbert space: pouring new wine into old bottles
| Autor: | Cox, Andrew A., Poppitz, Erich, Wandler, F. David |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP10(2021)069 |
| Popis: | We study four-dimensional gauge theories with arbitrary simple gauge group with $1$-form global center symmetry and $0$-form parity or discrete chiral symmetry. We canonically quantize on $\mathbb{T}^3$, in a fixed background field gauging the $1$-form symmetry. We show that the mixed $0$-form/$1$-form 't Hooft anomaly results in a central extension of the global-symmetry operator algebra. We determine this algebra in each case and show that the anomaly implies degeneracies in the spectrum of the Hamiltonian at any finite-size torus. We discuss the consistency of these constraints with both older and recent semiclassical calculations in $SU(N)$ theories, with or without adjoint fermions, as well as with their conjectured infrared phases. Comment: 53 pages, 0 figures. Typos corrected, comments and references added. To appear in JHEP |
| Databáze: | arXiv |
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