Instantons and entanglement entropy

被引：0
作者：
Arpan Bhattacharyya
Ling-Yan Hung
Charles M. Melby-Thompson
机构：
[1] Fudan University,Department of Physics and Center for Field Theory and Particle Physics
[2] Fudan University,State Key Laboratory of Surface Physics and Department of Physics
[3] Nanjing University,Collaborative Innovation Center of Advanced Microstructures
来源：
Journal of High Energy Physics | / 2017卷
关键词：
Nonperturbative Effects; Solitons Monopoles and Instantons;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We would like to put the area law — believed to be obeyed by entanglement entropies in the ground state of a local field theory — to scrutiny in the presence of nonperturbative effects. We study instanton corrections to entanglement entropy in various models whose instanton contributions are well understood, including U(1) gauge theory in 2+1 dimensions and false vacuum decay in ϕ4 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.
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