Abstract
We study the real-time dynamics of the order parameter⟨σ(t)⟩ in the Ising field theory after a quench in the fermion mass, which corresponds to a quenchin the transverse field of the corresponding transverse field Ising chain. We focus onquenches within the ordered phase. The long-time behaviour is obtained analyticallyby a resummation of the leading divergent terms in a form-factor expansion for⟨σ(t)⟩. Our main result is the development of a method for treating divergences associated withworking directly in the field theory limit. We recover the scaling limit of the correspondingresult by Calabrese et al (2011 Phys. Rev. Lett. 106 227203), which was obtained for thelattice model. Our formalism generalizes to integrable quantum quenches in otherintegrable models.
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