Abstract
A brief introduction to the subject of chiral perturbation theory (Xpt) is presented, including a discussion of effective field theory and applications of Xpt in the arena of purely mesonic interactions as well as in the πN sector.
Similar content being viewed by others
References
J. Svardiere: Am. J. Phys. 51 (1983) 1016.
See, e. g., B.R. Holstein: Am. J. Phys. 61 (1993) 142 and references therein; R. Jackiw: in M.A.B. Memorial Volume, ed. A. Ali and P. Hoodboy, World Scientific. Singapore (1991).
See, e.g. A. Manohar: “Effective Field Theories”, in Schladming 1966: Perturbative and Nonperturbative Aspects of Quantum Field Theory, hep-ph/9606222; D. Kaplan: “Effective Field Theories”, in Proc. 7th Summer School in Nuclear Physics nuclth/9506035,; H. Georgi: “Effective Field Theory”, in Ann. Rev. Nucl Sci. 43 (1995) 209.
B.R. Holstein: Am. J. Phys. 67 (1999) 422.
A corresponding classical physics discussion is given in R.P. Feynman, R.B. Leighton, and M. Sands: The Feynman Lecures on Physics, Addison-Wesley, Reading, MA, (1963), Vol. I, Ch. 32.
S. Gasiorowicz and D.A. Geffen: Rev. Mod. Phys 41 (1969) 531.
M. Gell-Mann: CalTech Rept. CTSL-20 (1961); S. Okubo: Prog. Theo. Phys. 27 (1962) 949.
S. Weinberg: Physica A 96 (1979) 327.
J. Gasser and H. Leutwyler: Ann. Phys. (NY) 158 (1984) 142; Nucl. Phys. B 250 (1985) 465.
A. Manohar and H. Georgi: Nucl. Phys. B 234 (1984) 189; J.F. Donoghue, E. Golowich and B.R. Holstein: Phys. Rev. D 30 (1984) 587.
Particle Data Group: Phys. Rev. D 54 (1996) 1.
Yu. M. Antipov et al.: Z. Phys. C 26 (1985) 495.
Yu. M. Antipov et al.: Phys. Lett. B 121 (1983) 445.
T.A. Aibergenov et al. Czech. J. Phys. 36 (1986) 948.
D. Babusci et al.: Phys. Lett. B 277 (1992) 158.
See, e.g. B.R. Holstein: Int. J. Mod. Phys. A 7 (1993) 7873; H. Leutwyler: in Perspectives in the Standard Model, eds. R.K. Ellis, C.T. Hill, and J.D. Lykken, World Scientific, Singapore (1992); J. Gasser: in Advanced School on Effective Theories, eds. F. Cornet and M.J. Herrero, World Scientific, Singapore (1997); H. Leutwyler: in Selected Topics in Nonperturbative QCD, eds. A. DiGiacomo and D. Diakonov, IOS Press, Amsterdam (1996).
J. Gasser, M. Sainio, and A. Svarc: Nucl. Phys. B 307 (1988) 779.
V. Bernard, N. Kaiser, and U.-G. Meissner Int. J. Mod. Phys. E 4 (1995) 193.
M. Goldberger and S.B. Treiman: Phys. Rev. 110 (1958) 1478.
R. Dashen and M. Weinstein: Phys. Rev. 188 (1969) 2330; B.R. Holstein: “Nucleon Axial Matrix Elements”, Few-Body Systems Suppl. 11 (1999) 116; J.L. Goity, R. Lewis, and M. Schvelinger: “The Goldberger-Treiman Discrepancy in SU(3)”, Phys. Lett. B 454 (1999) 115.
F.J. Federspiel et al.: Phys. Rev. Lett 67 (1991) 1511; A. L. Hallin et al.: Phys. Rev. C 48 (1993) 1497; A. Zieger et al.: Phys. Lett. B 278 (1992) 34; B.R. MacGibbon et al.: Phys. Rev. C 52 (1995) 2097.
V. Bernard, N. Kaiser and U.-G. Meissner: Phys. Rev. Lett. 67 (1991) 1515.
T.R. Hemmert, B.R. Holstein, G. Knoechlein and D. Drechsel: hep-ph/9910036.
S. Kerhoas et al.: Few Body Syst. Supp. 10 (1999) 523.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Holstein, B.R. A brief introduction to chiral perturbation theory. Czech J Phys 50 (Suppl 4), 9–23 (2000). https://doi.org/10.1007/s10582-000-0041-x
Issue Date:
DOI: https://doi.org/10.1007/s10582-000-0041-x