Threshold singularities in the correlators of the one-dimensional models

Abstract

We calculate the threshold singularities in one-dimensional models using the universal low-energy formfactors obtained in the framework of the non-linear Luttinger liquid model. We find the reason why the simplified picture of the impurity moving in the Luttinger liquid leads to the correct results. We obtain the prefactors of the singularities including their $k$- dependence at small $k<<p_F$.

10 pages

References in corpus (4)

• Universal theory of nonlinear Luttinger liquids
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
• Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion

Cited by in corpus (2)

• Nonlinear Luttinger liquid: Exact result for the Green function in terms of the fourth Painlevé transcendent
• Threshold singularities in the XXZ- spin chain