Is there a way - at least formally - to derive theories like chiral perturbation theory or heavy baryon effective theory from QCD?

As an example: is it possible first to introduce the effective fields as auxiliary fields in the path integral and then to integrate out the fundamental fields?

Can one formulate a general method to derive effective fields like dressed quarks, meson scalars / vectors and nucleon spinors from fundamental quark and gluon fields?

I am more interested in the general approach, not in a detailed treatment of the effective theories.

  • 1
    $\begingroup$ The short answer is one has tried, and notably on the lattice approximation of the functional integral of QCD (LePage), but it has been a long, technical, and not fully gratifying story. $\endgroup$ – Cosmas Zachos Jan 25 at 15:36
  • $\begingroup$ Table 1 of Kronfeld 2002. $\endgroup$ – Cosmas Zachos Jan 25 at 15:40

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