Resurgence at work in the principal chiral model

Add to your list(s) Download to your calendar using vCal

• Aleksey Cherman (FTPI)
• Thursday 03 October 2013, 13:00-14:00
• Potter Room (first floor, Pav. B).

If you have a question about this talk, please contact Dr Dorigoni.

I will discuss the physical role of non-perturbative saddle points of path integrals in theories without instantons, using the example of the asymptotically free two-dimensional principal chiral model (PCM). Standard topological arguments based on homotopy considerations suggest no role for non-perturbative saddles in such theories. However, resurgence theory, which unifies perturbative and non-perturbative physics, predicts the existence of several types of non-perturbative saddles associated with features of the large-order structure of perturbation theory. These points are illustrated in the PCM , where we found new non-perturbative `fracton’ saddle point field configurations, and give a quantum interpretation of previously discovered `uniton’ unstable classical solutions. The fractons lead to a semi-classical realization of IR renormalons in the circle-compactified theory, and yield the microscopic mechanism of the mass gap of the PCM .

This talk is part of the Quantum Fields and Strings Seminars series.

This talk is included in these lists:

• All CMS events
• CMS Events
• DAMTP info aggregator
• HEP web page aggregator
• Interested Talks
• Potter Room (first floor, Pav. B)
• Quantum Fields and Strings Seminars
• bld31
• few29

Note that ex-directory lists are not shown.