2015/11/30 by Jordan Cotler, Jordan S. Cotler, Cotler, Jordan S. +2 · 1 citation
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1512.00023
28 pages, 1 figure. v2: errors and typos fixed
openalex publication_date 2015/11/30 · arxiv created 2019/08/13 · arxiv updated 2019/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute a variational approximation to the entanglement entropy for states of the Gross-Neveu model. Further, we examine the functional dependence of the entanglement entropy on the coupling and number of colors in the theory. Our results display non-peturbative behavior. It is shown that the entanglement entropy is monotonically decreasing and convex with respect to the coupling. We also show how the behavior of the entanglement entropy under renormalization group transformations is related to the beta function of the Gross-Neveu model, and compare these renormalization group results to our previous work on interacting scalar field theories.