On the universal relations for the prefactors in correlation functions of 1D quantum liquids
Mathematical Physics
2015-05-28 v1 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Abstract
For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.
Keywords
Cite
@article{arxiv.1105.5775,
title = {On the universal relations for the prefactors in correlation functions of 1D quantum liquids},
author = {A. A. Ovchinnikov},
journal= {arXiv preprint arXiv:1105.5775},
year = {2015}
}
Comments
LaTex, 11 pages