RG-Whitham like dynamics and complex integrable systems

OKC/Nordita High-Energy Physics Theory seminar

Monday 14 July 2014
from 14:00
to 15:00 at
122:026

Speaker :

Aleksey Milekhin (ITEP, Moscow)

Abstract :

Inspired by the Seiberg-Witten exact solution, we consider some aspects of the
Hamiltonian dynamics focusing at the RG-like Whitham behavior.
We show that at the Argyres-Douglas(AD) point the number
of degrees of freedom in the underlying Hamiltonian system effectively
reduces and argue that
anomalous dimensions at the AD point coincide with the Berry indexes
in classical
mechanics. We demonstrate that recently discovered Dunne-Unsal relation in
quantum mechanics exactly coincides
with the Whitham equation of motion in the Omega deformed theory.