Instantons and Entanglement Entropy
| Autor: | Bhattacharyya, Arpan, Hung, Ling-Yan, Melby-Thompson, Charles M. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | JHEP10(2017)081 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP10(2017)081 |
| Popis: | We would like to put the area law -- believed to by obeyed by entanglement entropies in the ground state of a local field theory -- to scrutiny in the presence of non-perturbative effects. We study instanton corrections to entanglement entropy in various models whose instanton effects are well understood, including $U(1)$ gauge theory in 2+1 dimensions and false vacuum decay in $\phi^4$ theory, and we demonstrate that the area law is indeed obeyed in these models. We also perform numerical computations for toy wavefunctions mimicking the theta vacuum of the (1+1)-dimensional Schwinger model. Our results indicate that such superpositions exhibit no more violation of the area law than the logarithmic behavior of a single Fermi surface. Comment: 29 pages, 4 figures, typos corrected, substantially revised, published version |
| Databáze: | arXiv |
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