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Exact correlation functions in SU(2) N=2 superconformal QCD.

Marco Baggio1, Vasilis Niarchos2, Kyriakos Papadodimas3

  • 1Institut fur Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland.

Physical Review Letters
|January 3, 2015
PubMed
Summary
This summary is machine-generated.

We found exact solutions for correlation functions in SU(2) N=2 super-Yang-Mills theory. These solutions, related to the Toda chain, were confirmed using Feynman diagrams and supersymmetric localization.

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Area of Science:

  • High energy physics
  • Quantum field theory
  • String theory

Background:

  • N=2 super-Yang-Mills theory is a fundamental model in quantum field theory.
  • Understanding correlation functions is key to characterizing the theory's dynamics.
  • Chiral primary fields play a crucial role in the theory's structure.

Purpose of the Study:

  • To find an exact solution for 2- and 3-point functions of chiral primary fields.
  • To investigate the dependence of these correlation functions on the gauge coupling.
  • To establish a connection between these functions and integrable systems.

Main Methods:

  • Utilizing supersymmetric localization on the four-sphere to determine the Zamolodchikov metric.
  • Solving the derived differential equations recursively.
  • Employing perturbation theory with Feynman diagrams up to 2 loops for verification.

Main Results:

  • An exact solution for 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory was obtained.
  • These correlation functions exhibit non-trivial dependence on the gauge coupling.
  • The differential equations governing these functions were identified as the semi-infinite Toda chain.

Conclusions:

  • The study provides an exact analytical solution for key correlation functions.
  • The connection to the Toda chain highlights deep links between gauge theories and integrable systems.
  • Results are robust, confirmed by both analytical and perturbative methods.