Quenched chiral perturbation theory to one loop

1997/08/31 by Gilberto Colangelo, Elisabetta Pallante · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0550-3213(98)00195-3

published as Nucl.Phys. B520 (1998) 433-468 · plain latex, 41 pages, 7 figures. New parts added + other minor changes, version to appear on Nucl. Phys. B

arxiv created 1998/02/25 · openalex publication_date 1998/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory at one loop, and renormalize the theory by an appropriate definition of the counterterms. We show that the quenched chiral logarithms can be reabsorbed in the renormalization of the B₀ parameter which, at lowest order, is proportional to the vacuum expectation value of the scalar quark density. Finally, we calculate several quantities at one loop to analyze the modifications induced by quenching in the finite part of the one-loop corrections. We point out that some of the finite loop corrections may diverge in the chiral limit.

Citations

• Chiral perturbation theory to one loop
• Chiral perturbation theory for the quenched approximation of QCD
• Chiral perturbation theory: Expansions in the mass of the strange quark

Cited by

• The Ademollo–Gatto theorem for lattice semileptonic decays
• Monopole and instanton effects in QCD