Exact finite volume expectation values of Ψ¯ Ψ in the massive Thirring model from light-cone lattice correlators

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5 Citations (Scopus)

Abstract

In this paper, using the light-cone lattice regularization, we compute the finite volume expectation values of the composite operator Ψ¯ Ψ between pure fermion states in the Massive Thirring Model. In the light-cone regularized picture, this expectation value is related to 2-point functions of lattice spin operators being located at neighboring sites of the lattice. The operator Ψ¯ Ψ is proportional to the trace of the stress-energy tensor. This is why the continuum finite volume expectation values can be computed also from the set of non-linear integral equations (NLIE) governing the finite volume spectrum of the theory. Our results for the expectation values coming from the computation of lattice correlators agree with those of the NLIE computations. Previous conjectures for the LeClair-Mussardo-type series representation of the expectation values are also checked.

Original languageEnglish
Article number47
JournalJournal of High Energy Physics
Volume2018
Issue number3
DOIs
Publication statusPublished - Mar 1 2018

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correlators
cones
operators
integral equations
fermions
tensors
continuums
composite materials
energy

Keywords

  • Bethe Ansatz
  • Integrable Field Theories
  • Lattice Integrable Models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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abstract = "In this paper, using the light-cone lattice regularization, we compute the finite volume expectation values of the composite operator Ψ¯ Ψ between pure fermion states in the Massive Thirring Model. In the light-cone regularized picture, this expectation value is related to 2-point functions of lattice spin operators being located at neighboring sites of the lattice. The operator Ψ¯ Ψ is proportional to the trace of the stress-energy tensor. This is why the continuum finite volume expectation values can be computed also from the set of non-linear integral equations (NLIE) governing the finite volume spectrum of the theory. Our results for the expectation values coming from the computation of lattice correlators agree with those of the NLIE computations. Previous conjectures for the LeClair-Mussardo-type series representation of the expectation values are also checked.",
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N2 - In this paper, using the light-cone lattice regularization, we compute the finite volume expectation values of the composite operator Ψ¯ Ψ between pure fermion states in the Massive Thirring Model. In the light-cone regularized picture, this expectation value is related to 2-point functions of lattice spin operators being located at neighboring sites of the lattice. The operator Ψ¯ Ψ is proportional to the trace of the stress-energy tensor. This is why the continuum finite volume expectation values can be computed also from the set of non-linear integral equations (NLIE) governing the finite volume spectrum of the theory. Our results for the expectation values coming from the computation of lattice correlators agree with those of the NLIE computations. Previous conjectures for the LeClair-Mussardo-type series representation of the expectation values are also checked.

AB - In this paper, using the light-cone lattice regularization, we compute the finite volume expectation values of the composite operator Ψ¯ Ψ between pure fermion states in the Massive Thirring Model. In the light-cone regularized picture, this expectation value is related to 2-point functions of lattice spin operators being located at neighboring sites of the lattice. The operator Ψ¯ Ψ is proportional to the trace of the stress-energy tensor. This is why the continuum finite volume expectation values can be computed also from the set of non-linear integral equations (NLIE) governing the finite volume spectrum of the theory. Our results for the expectation values coming from the computation of lattice correlators agree with those of the NLIE computations. Previous conjectures for the LeClair-Mussardo-type series representation of the expectation values are also checked.

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