[Paper Review] Chiral Effective Theories

Johan Bijnens, Ulf-G. Meißner|ArXiv.org|Jan 22, 1999

Molecular spectroscopy and chirality3 citations

TL;DR

This paper presents the proceedings of the 1998 Bad Honnef workshop on chiral effective theories, focusing on Chiral Perturbation Theory (ChPT) and its interplay with lattice QCD and dispersion relations. It compiles short contributions from talks and key review papers, offering a comprehensive overview of the state-of-the-art in chiral effective field theories at the time, with emphasis on low-energy QCD dynamics and phenomenological applications.

ABSTRACT

These are the proceedings of the workshop on ``Chiral Effective Theories'' held at the Physikzentrum Bad Honnef of the Deutsche Physikalische Gesellschaft, Bad Honnef, Germany from November 30 to December 4, 1998. The workshop concentrated on Chiral Perturbation Theory in its various settings and its relations with lattice QCD and dispersion theory. Included are a short contribution per talk and a listing of some review papers on the subject.

Motivation & Objective

• To compile and disseminate the latest developments in chiral effective field theories as discussed at a major European workshop.
• To explore the interplay between Chiral Perturbation Theory (ChPT), lattice QCD simulations, and dispersion-theoretic methods.
• To provide a reference collection of short contributions and key review papers on chiral dynamics and low-energy hadron physics.
• To document the state of the art in chiral effective theories around 1999, particularly in the context of strong interaction phenomenology.
• To support theoretical and lattice QCD efforts by consolidating insights into low-energy QCD symmetries and their effective descriptions.

Proposed method

• Compilation of short contributions from invited talks at the Bad Honnef workshop on chiral effective theories.
• Integration of review papers on ChPT, dispersion theory, and lattice QCD into a single miniproceedings document.
• Use of LaTeX2e for structured formatting and consistent presentation of technical content.
• Incorporation of key theoretical frameworks such as chiral Lagrangians and chiral perturbation theory at chiral order O(p^4).
• Presentation of connections between effective field theory, dispersion relations, and lattice QCD calculations.
• Organization of content by thematic sessions: ChPT, dispersion theory, lattice QCD, and phenomenological applications.

Experimental results

Research questions

• RQ1 How do chiral perturbation theory and lattice QCD complement each other in describing low-energy hadronic processes?
• RQ2 What are the current theoretical and computational challenges in applying chiral effective field theories to strong interaction processes?
• RQ3 How can dispersion theory be used to constrain or improve chiral effective Lagrangians?
• RQ4 What are the key open questions in the systematic expansion of chiral Lagrangians beyond leading order?
• RQ5 What role do effective field theory methods play in connecting lattice QCD results to physical observables?

Key findings

• The workshop highlighted a strong convergence between ChPT, lattice QCD, and dispersion theory in describing low-energy hadronic interactions.
• Key review papers were compiled to serve as reference material for ongoing research in chiral effective field theories.
• The proceedings document the state of the art in chiral effective theories around 1999, particularly in the context of SU(2) and SU(3) chiral perturbation theory.
• Contributions emphasized the importance of systematic expansions in the chiral power counting scheme for reliable predictions.
• The integration of dispersion relations with effective field theories was shown to improve the description of hadronic scattering amplitudes.
• Lattice QCD results were found to be increasingly compatible with chiral effective field theory predictions, especially at higher precision.