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Light-Quark Dynamics

  • Jürg Gasser
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 629)

Abstract

At low energies EM W , the interactions of leptons and hadrons are described by QCD + QED up to corrections of order (E/M W ). If we disregard the electromagnetic interactions, we are left with QCD that contains only a few parameters: the renormalization group invariant scale Λ and the running quark masses m u ,m d ,m s .... The quark masses m u ,m d and m s are small on a typical hadronic scale like the mass of the rho or of the proton. It makes therefore sense to consider the limit where these masses are set equal to zero (chiral limit). The remaining quarks c,b, ... are not light: although one may of course study the theoretical limit in which these masses also vanish, it does not seem to be possible to recover the actual mass values by an expansion around that limiting case. At low energies, a better approximation is obtained if the quarks c, b, ... are instead treated as infinitely heavy. In this limit, the degrees of freedom associated with these quarks freeze and may be ignored in the effective low energy theory.

Keywords

Partial Wave Goldstone Boson Pion Mass Chiral Perturbation Theory Chiral Limit 
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Authors and Affiliations

  • Jürg Gasser
    • 1
  1. 1.Institut für Theoretische Physik, Universität Bern, Sidlerstraße 5, 3012 Bern, Switzerland, gasser@itp.unibe.ch 

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