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  • Letter
  • Open Access

Entanglement scaling for λϕ24

Bram Vanhecke, Frank Verstraete, and Karel Van Acoleyen

  • Department of Physics and Astronomy, University of Ghent, Krijgslaan 281, 9000 Gent, Belgium

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Phys. Rev. D 106, L071501 – Published 20 October, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L071501

Abstract

We study the λϕ4 model in 0+2 dimensions at criticality, focusing on the scaling properties originating from the UV and IR physics. We demonstrate that the entanglement entropy, the correlation length ξ and order parameters ϕ and ϕ3 exhibit distinctive double scaling properties that prove a powerful tool in the data analysis. The calculations are performed with boundary matrix product state methods on tensor network representations of the partition function to which the entanglement scaling hypothesis is applied, though the technique is equally applicable outside the realm of tensor networks. We find the value αc=11.09698(31) for the critical point, improving on previous results.

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Phys. Rev. D 106, L071501– Published 20 October, 2022
  • Received 25 June 2021
  • Accepted 28 September 2022
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