### 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 language | English |
---|---|

Article number | 47 |

Journal | Journal of High Energy Physics |

Volume | 2018 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 1 2018 |

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### Keywords

- Bethe Ansatz
- Integrable Field Theories
- Lattice Integrable Models

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Exact finite volume expectation values of Ψ¯ Ψ in the massive Thirring model from light-cone lattice correlators.** / Hegedűs, A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Exact finite volume expectation values of Ψ¯ Ψ in the massive Thirring model from light-cone lattice correlators

AU - Hegedűs, A.

PY - 2018/3/1

Y1 - 2018/3/1

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.

KW - Bethe Ansatz

KW - Integrable Field Theories

KW - Lattice Integrable Models

UR - http://www.scopus.com/inward/record.url?scp=85043715191&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043715191&partnerID=8YFLogxK

U2 - 10.1007/JHEP03(2018)047

DO - 10.1007/JHEP03(2018)047

M3 - Article

AN - SCOPUS:85043715191

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

M1 - 47

ER -