2015/03/31 by Jiunn-Wei Chen, Shou-Huang Dai, Jin-Yi Pang · 13 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling constant #Gauge theory #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Theoretical physics #hep-lat #hep-ph #hep-th
paper · pdf · open access · doi:10.1016/j.nuclphysb.2019.114892
published in Nuclear Physics B 951, 114892 (Elsevier BV) · 21pp, 3 figures
openalex created_date 2016/06/24 · openalex publication_date 2019/12/17 · arxiv created 2021/04/06 · arxiv updated 2021/04/08 · openalex updated_date 2026/08/06
We propose a novel prescription for calculating the entanglement entropy of the S U ( N ) Yang-Mills gauge theories on the lattice under the strong coupling expansion in powers of β = 2 N / g 2 , where g is the coupling constant. Using the replica method, our Lagrangian formalism maintains gauge invariance on the lattice. At O ( β 2 ) and O ( β 3 ) , the entanglement entropy is solely contributed by the central plaquettes enclosing the conical singularity of the n -sheeted Riemann surface. The area law emerges naturally to the highest order O ( β 3 ) of our calculation. The leading O ( β ) term is negative, which could in principle be canceled by taking into account the “cosmological constant” living in interface of the two entangled subregions. This unknown cosmological constant resembles the ambiguity of edge modes in the Hamiltonian formalism. We further speculate this unknown cosmological constant can show up in the entanglement entropy of scalar and spinor field theories as well. Furthermore, it could play the role of a counterterm to absorb the ultraviolet divergence of entanglement entropy and make entanglement entropy a finite physical quantity.