On the foundations of chiral perturbation theory

@article{Leutwyler1994OnTF,
  title={On the foundations of chiral perturbation theory},
  author={Heinrich Leutwyler},
  journal={Annals of Physics},
  year={1994},
  volume={235},
  pages={165-203}
}
  • H. Leutwyler
  • Published 11 November 1993
  • Physics
  • Annals of Physics
The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are characterized by a gauge invariant effective Lagrangian, to all orders of the low energy expansion. The paper includes a discussion of anomalies and approximate symmetries, but does not cover nonrelativistic effective theories. 
Goldstone Bosons
The paper concerns the effective field theory methods used to study the low energy structure of systems with a spontaneously broken symmetry. I first explain how the method works in the context of
Chiral Perturbation Theory for Nuclear Physicists 1
Chiral perturbation theory is the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom. This program is based on effective Lagrangian techniques and is
Virtual Photons in Chiral Perturbation Theory
In the framework of chiral perturbation theory virtual photons are included. We calculate the divergences of the generating functional to one loop and determine the structure of the local action that
Chiral Perturbation Theory for Nuclear Physicists
Chiral perturbation theory is the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom. This program is based on effective Lagrangian techniques and is
Strong interactions at low energies
The lectures review some of the basic concepts relevant for an understanding of the low energy properties of the strong interactions: chiral symmetry, spontaneous symmetry breakdown, Goldstone
Nonrelativistic effective Lagrangians.
  • Leutwyler
  • Physics
    Physical review. D, Particles and fields
  • 1994
TLDR
Chiral perturbation theory is extended to nonrelativistic systems with spontaneously broken symmetry and includes antiferromagnetic magnons and phonons, while the effective field theory of fluids or gases is beyond the scope of the method.
Baryon chiral perturbation theory A.D. 1994
In these lectures, the status of baryon chiral perturbation theory is reviewed. Particular emphasis is put on the two-flavor sector and the physics related to electromagnetic probes. I discuss in
The Effective Lagrangian for QCD
In previous chapters, we have studied the formal development of the effective Lagrangian formalism. In Chap. 3 we have seen how to obtain the non-linear sigma model (NLSM) Lagrangian. This is the
...
...

References

SHOWING 1-10 OF 26 REFERENCES
Phys
  • Lett. 37 B
  • 1971
Phys
  • Rev. 177 (1969) 2239; C. Callan, S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177
  • 1969
Ann. Phys. (N.Y.)
  • Ann. Phys. (N.Y.)
  • 1982
Phys
  • Rev. Lett. 18 (1967) 188, 507; Phys. Rev. 166
  • 1968
Nucl
  • Phys. B 250
  • 1985
Phys
  • Rev. Lett. 26 (1971) 1204; H. Pagels, Phys. Rep. C 16
  • 1975
For a discussion of the current status, see Proc. Workshop on Effective Field Theories of the Standard Model
  • Meissner (World Scientific
  • 1992
For a recent discussion and references to the literature, see D. Espriu and J. Matias , Regularization methods in chiral perturbation theory
  • For a recent discussion and references to the literature, see D. Espriu and J. Matias , Regularization methods in chiral perturbation theory
Phys
  • Rev. D 3 (1971) 1996; I. S. Gerstein, R. Jackiw, B. W. Lee and S. Weinberg, Phys. Rev. D 3 (1971) 2486; G. Ecker and J. Honerkamp, Nucl. Phys. B 35 (1971) 481; B 52 (1973) 211; B 51 62 (1973) 509; T. Appelquist and C. Bernard, Phys. Rev. D 23
  • 1981
Phys
  • Rev. 183 (1969) 1245; R. Dashen and M. Weinstein, Phys. Rev. 183
  • 1969
...
...