Journal of High Energy Physics

, 2019:141 | Cite as

Rényi entanglement entropies for the compactified massless boson with open boundary conditions

  • Alvise BastianelloEmail author
Open Access
Regular Article - Theoretical Physics


We investigate the Rényi entanglement entropies for the one-dimensional massless free boson compactified on a circle, which describes the low energy sector of several interacting many-body 1d systems (Luttinger Liquid). We focus on systems on a finite segment with open boundary conditions and possible inhomogeneities in the couplings. We provide expressions for the Rényi entropies of integer indices in terms of Fredholm determinant-like expressions. Within the homogeneous case, we reduce the problem to the solution of linear integral equations and the computation of Riemann Theta functions. We mainly focus on a single interval in the middle of the system, but results for generic bipartitions are given as well.


Conformal Field Theory Integrable Field Theories Boundary Quantum Field Theory 


Open Access

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© The Author(s) 2019

Authors and Affiliations

  1. 1.Institute for Theoretical PhysicsUniversity of AmsterdamAmsterdamThe Netherlands

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