Field theoretical derivation of Lüscher’s formula and calculation of finite volume form factors

Z. Bajnok, J. Balog, Márton Lájer, Chao Wu

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading exponential volume correction both to the energy of a moving particle state and to the simplest non-diagonal form factor. The form factor corrections are given in terms of a regularized infinite volume 3-particle form factor and terms related to the Lüsher correction of the momentum quantization. We tested these results against second order Lagrangian and Hamiltonian perturbation theory in the sinh-Gordon theory and we obtained perfect agreement.

Original languageEnglish
Article number174
JournalJournal of High Energy Physics
Volume2018
Issue number7
DOIs
Publication statusPublished - Jul 1 2018

Fingerprint

form factors
derivation
momentum
perturbation theory
energy levels
energy

Keywords

  • Field Theories in Lower Dimensions
  • Integrable Field Theories
  • Nonperturbative Effects

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Field theoretical derivation of Lüscher’s formula and calculation of finite volume form factors. / Bajnok, Z.; Balog, J.; Lájer, Márton; Wu, Chao.

In: Journal of High Energy Physics, Vol. 2018, No. 7, 174, 01.07.2018.

Research output: Contribution to journalArticle

@article{c19f9df8c7ec4a0b8d7aef7ff9c62a27,
title = "Field theoretical derivation of L{\"u}scher’s formula and calculation of finite volume form factors",
abstract = "We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading exponential volume correction both to the energy of a moving particle state and to the simplest non-diagonal form factor. The form factor corrections are given in terms of a regularized infinite volume 3-particle form factor and terms related to the L{\"u}sher correction of the momentum quantization. We tested these results against second order Lagrangian and Hamiltonian perturbation theory in the sinh-Gordon theory and we obtained perfect agreement.",
keywords = "Field Theories in Lower Dimensions, Integrable Field Theories, Nonperturbative Effects",
author = "Z. Bajnok and J. Balog and M{\'a}rton L{\'a}jer and Chao Wu",
year = "2018",
month = "7",
day = "1",
doi = "10.1007/JHEP07(2018)174",
language = "English",
volume = "2018",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "7",

}

TY - JOUR

T1 - Field theoretical derivation of Lüscher’s formula and calculation of finite volume form factors

AU - Bajnok, Z.

AU - Balog, J.

AU - Lájer, Márton

AU - Wu, Chao

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading exponential volume correction both to the energy of a moving particle state and to the simplest non-diagonal form factor. The form factor corrections are given in terms of a regularized infinite volume 3-particle form factor and terms related to the Lüsher correction of the momentum quantization. We tested these results against second order Lagrangian and Hamiltonian perturbation theory in the sinh-Gordon theory and we obtained perfect agreement.

AB - We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading exponential volume correction both to the energy of a moving particle state and to the simplest non-diagonal form factor. The form factor corrections are given in terms of a regularized infinite volume 3-particle form factor and terms related to the Lüsher correction of the momentum quantization. We tested these results against second order Lagrangian and Hamiltonian perturbation theory in the sinh-Gordon theory and we obtained perfect agreement.

KW - Field Theories in Lower Dimensions

KW - Integrable Field Theories

KW - Nonperturbative Effects

UR - http://www.scopus.com/inward/record.url?scp=85050933111&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050933111&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2018)174

DO - 10.1007/JHEP07(2018)174

M3 - Article

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 7

M1 - 174

ER -