2011/07/21 by А. А. Овчинников, Ovchinnikov, A. A.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1107.4295
openalex publication_date 2011/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 present an explicit expressions for the particle-hole formfactors for various one-dimensional models. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.