English

Dynamics in the Ising field theory after a quantum quench

Strongly Correlated Electrons 2013-01-14 v2 Statistical Mechanics High Energy Physics - Theory

Abstract

We study the real-time dynamics of the order parameter <σ(t)><\sigma(t)> in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We focus on quenches within the ordered phase. The long-time behaviour is obtained analytically by a resummation of the leading divergent terms in a form-factor expansion for <σ(t)><\sigma(t)>. Our main result is the development of a method for treating divergences associated with working directly in the field theory limit. We recover the scaling limit of the corresponding result by Calabrese et al. [Phys. Rev. Lett. \textbf{106}, 227203 (2011)], which was obtained for the lattice model. Our formalism generalizes to integrable quantum quenches in other integrable models.

Keywords

Cite

@article{arxiv.1203.5080,
  title  = {Dynamics in the Ising field theory after a quantum quench},
  author = {Dirk Schuricht and Fabian H. L. Essler},
  journal= {arXiv preprint arXiv:1203.5080},
  year   = {2013}
}
R2 v1 2026-06-21T20:38:36.070Z