Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Resurgence in η-deformed Principal Chiral Models.

Demulder, S. and Dorigoni, D. and Thompson, D. (2016) 'Resurgence in η-deformed Principal Chiral Models.', Journal of high energy physics., 2016 (07). 088.

Abstract

We study the SU(2) Principal Chiral Model (PCM) in the presence of an integrable η-deformation. We put the theory on R×S1R×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 SL(2,C)SL(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 NN = 2 4-d gauge theory with gauge group SU(2) and Nf = 2.

Item Type:Article
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution.
Download PDF
(2727Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP07(2016)088
Publisher statement:Open Access, © The Author(s). 2016 Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:30 June 2016
Date deposited:06 March 2017
Date of first online publication:18 July 2016
Date first made open access:06 March 2017

Save or Share this output

Export:
Export
Look up in GoogleScholar