RG-Whitham dynamics and complex Hamiltonian systems

A. Gorsky; A. Milekhin

doi:10.1016/j.nuclphysb.2015.03.028

RG-Whitham dynamics and complex Hamiltonian systems

A. Gorsky
, A. Milekhin

Physics And Astronomy

Producción científica: Article › revisión exhaustiva

25 Citas (Scopus)

Resumen

Inspired by the Seiberg-Witten exact solution, we consider some aspects of the Hamiltonian dynamics with the complexified phase space focusing at the renormalization group (RG)-like Whitham behavior. We show that at the Argyres-Douglas (AD) point the number of degrees of freedom in Hamiltonian system effectively reduces and argue that anomalous dimensions at AD point coincide with the Berry indexes in classical mechanics. In the framework of Whitham dynamics AD point turns out to be a fixed point. We demonstrate that recently discovered Dunne-Ünsal relation in quantum mechanics relevant for the exact quantization condition exactly coincides with the Whitham equation of motion in the Ω-deformed theory.

Idioma original	English
Páginas (desde-hasta)	33-63
Número de páginas	31
Publicación	Nuclear Physics B
Volumen	895
DOI	https://doi.org/10.1016/j.nuclphysb.2015.03.028
Estado	Published - jun 1 2015

Nota bibliográfica

Publisher Copyright:
© 2015 The Authors.

Financiación

The research was carried out at the IITP RAS at the expense of the Russian Foundation for Sciences (project No. 14-50-00150 ). We would like to thank G. Basar, K. Bulycheva, A. Kamenev, G. Korchemsky, P. Koroteev, A. Marshakov, A. Mironov, A. Morozov, A. Neitzke and B. Runov for the useful discussions and comments. We are especially grateful to I. Krichever for the careful reading of our manuscript.

Financiadores	Número del financiador
Russian Science Foundation	14-50-00150

ASJC Scopus subject areas

Nuclear and High Energy Physics

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RG-Whitham dynamics and complex Hamiltonian systems

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