Initial states in integrable quantum field theory quenches from an integral equation hierarchy

D. X. Horváth, S. Sotiriadis, G. Takács

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches. We construct and examine an infinite integral equation hierarchy based on the form factor bootstrap, proposed earlier as a set of conditions determining the overlaps. Using quenches of the mass and interaction in Sinh-Gordon theory as a concrete example, we present theoretical arguments that the state has the squeezed coherent form expected for integrable quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover we also develop an iterative method to solve numerically the lowest equation of the hierarchy. The iterative solution along with extensive numerical checks performed using the next equation of the hierarchy provides a strong numerical evidence that the proposed Ansatz gives a very good approximation for the solution.

Original languageEnglish
Pages (from-to)508-547
Number of pages40
JournalNuclear Physics B
Volume902
DOIs
Publication statusPublished - Jan 1 2016

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hierarchies
integral equations
iterative solution
form factors
eigenvectors
approximation
interactions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Initial states in integrable quantum field theory quenches from an integral equation hierarchy. / Horváth, D. X.; Sotiriadis, S.; Takács, G.

In: Nuclear Physics B, Vol. 902, 01.01.2016, p. 508-547.

Research output: Contribution to journalArticle

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