Resurgence in η-deformed Principal Chiral Models

Saskia Demulder, Daniele Dorigoni, Daniel C. Thompson

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


Abstract: We study the SU(2) Principal Chiral Model (PCM) in the presence of an integrable η-deformation. We put the theory on ℝ× S1 with twisted boundary conditions and then reduce the circle to obtain an effective quantum mechanics associated with the Whittaker-Hill equation. Using resurgent analysis we study the large order behaviour of perturbation theory and recover the fracton events responsible for IR renormalons. The fractons are modified from the standard PCM due to the presence of this η-deformation but they are still the constituents of uniton-like solutions in the deformed quantum field theory. We also find novel S L (2 ℂ) saddles, thus strengthening the conjecture that the semi-classical expansion of the path integral gives rise to a resurgent transseries once written as a sum over Lefschetz thimbles living in a complexification of the field space. We conclude by connecting our quantum mechanics to a massive deformation of the N = 2 4-d gauge theory with gauge group SU(2) and Nf= 2.

Original languageEnglish
Article number88
JournalJournal of High Energy Physics
Issue number7
StatePublished - 1 Jul 2016
Externally publishedYes


  • Integrable Field Theories
  • Nonperturbative Effects
  • Sigma Models
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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