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

Bajnok, Zoltán (0000 0004 1759 8344, MTA Lendület Holographic QFT Group, Wigner Research Centre for Physics, H-1525, Budapest 114, P.O.B. 49, Hungary) ; Balog, János (0000 0004 1759 8344, MTA Lendület Holographic QFT Group, Wigner Research Centre for Physics, H-1525, Budapest 114, P.O.B. 49, Hungary) ; Lájer, Márton (0000 0004 1759 8344, MTA Lendület Holographic QFT Group, Wigner Research Centre for Physics, H-1525, Budapest 114, P.O.B. 49, Hungary) (0000 0001 2294 6276, Institute for Theoretical Physics, Eötvös Loránd University, H-1117, Budapest, Pázmány P. s. 1/A, Hungary) ; Wu, Chao (0000 0004 1759 8344, MTA Lendület Holographic QFT Group, Wigner Research Centre for Physics, H-1525, Budapest 114, P.O.B. 49, Hungary)

01 August 2018

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.


Published in: JHEP 1807 (2018) 174
Published by: Springer/SISSA
DOI: 10.1007/JHEP07(2018)174
arXiv: 1802.04021
License: CC-BY-4.0



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