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      Replica Instantons from Axion-like Coupling

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          Abstract

          We find a phenomenon in a non-gravitational gauge theory analogous to the replica wormhole in a quantum gravity theory. We consider a reservoir of a scalar field coupled with a gauge theory contained in a region with a boundary by an axion-like coupling. When the replica trick is used to compute the entanglement entropy for a subregion in the reservoir, a tuple of instantons distributed across the replica sheets gives a non-perturbative contribution. As an explicit and solvable example, we consider a discrete scalar field coupled to a 2d pure gauge theory and observe how the replica instantons reproduce the entropy directly calculated from the reduced density matrix. In addition, we notice that the entanglement entropy can detect the confinement of a 2d gauge theory.

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          Author and article information

          Journal
          19 January 2021
          Article
          2101.07854
          eb5d181e-124d-49de-a7c0-cdbe40a2d828

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          4+1 pages, 5 figures
          hep-th

          High energy & Particle physics
          High energy & Particle physics

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