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Instantons in Quantum Chromodynamics

  • Albert S. Schwarz
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 307)

Abstract

Recall that the QCD Lagrangian is obtained from the free fermion Lagrangian
$$l = \sum\limits_f {{{\bar \psi }_f}\phi } {\bar \psi _f} - i\sum\limits_f {{m_f}} {\bar \psi _f}{\psi _f}$$
(34.1)
by localizing the SU(3)-symmetry. Here, for f fixed, ψ f = (ψ f 1 , ψ f 2 , ψ f 3 ) is a three-dimensional vector of bispinors. In other words, when considering the quark fields ψ f k , where k specifies the color and f the flavor, we discard the color index k, a consider ψ f as a vector in color space.

Keywords

Partition Function Dirac Operator Zero Mode Topological Charge Euclidean Action 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Albert S. Schwarz
    • 1
  1. 1.Department of Mathematics, 565 Kerr HallUniversity of CaliforniaDavisUSA

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