Abstract
The hadronic sector of the standard model at low energies is described by a nondecoupling effective field theory, chiral perturbation theory. An introduction is given to the construction of effective chiral Lagrangians, both in the purely mesonic sector and with inclusion of baryons. The connection between the relativistic formulation and the heavy baryon approach to chiral perturbation theory with baryons is reviewed.
Similar content being viewed by others
References
Weinberg S.:in Conference Summary, Proc. XXVI Int. Conference on High Energy Physics, Dallas 1992 (ED J. R. Sanford). American Inst. Phys., New York, 1993.
Weinberg S.: Physica A96 (1979) 327.
Euler H.: Ann. Phys. (Leipzig)26 (1936) 398.
Heisenberg W. and Euler H.: Z. Phys.98 (1936) 714.
Gasser J. and Leutwyler H.: Ann. Phys.158 (1984) 142.
Gasser J. and Leutwyler H.: Nucl. Phys. B250 (1985) 465.
Bagger J. A.:in Physics beyond the standard model, Proc. TASI 91, Boulder (Eds. R. K. Ellis et al.). World Scientific, River Edge, N.J., 1992.
Georgi H.: Weak Interactions and Modern Particle Theory. Benjamin/Cummings, Menlo Park, 1984.
Donoghue J. F., Golowich E., and Holstein B. R.: Dynamics of the Standard Model. Cambridge Univ. Press, Cambridge, 1992.
Proc. Ringberg Workshop on Hadronic Matrix Elements and Weak Decays, Ringberg Castle, Germany, April 1988 (Eds. A. J. Buras, J.-M. Gérard and W. Huber). Nucl. Phys. B (Proc. Suppl.) 7A (1989).
Proc. Workshop on Effective Field Theories of the Standard Model, Dobogókö, Hungary, Aug. 1991 (Ed. U.-G. Meißner). World Scientific, Singapore, 1992.
Leutwyler H.: Chiral effective Lagrangians, Lecture Notes in Physics, vol. 396 (Eds. H. Mitter and H. Gausterer), Springer Berlin, 1991; Nonperturbative methodsin Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992 (Ed. J. R. Sanford), American Inst. Phys., New York, 1993.
Gasser J.:in The QCD vacuum and chiral symmetry,in Hadrons and Hadronic Matter (Eds. D. Vautherin et al.). Plenum Press, 1990.
Ecker G.:in Chiral perturbation theoryin Quantitative Particle Physics: Cargèse 1992 (Eds. M. Lévy et al.). Plenum Publ. Co., New York, 1993.
Meißner U.-G.: Recent developments in chiral perturbation theory, Rep. Prog. Phys.56 (1993) 903.
Pich A.: Introduction to chiral perturbation theory, Lectures given at the 5th Mexican School of Particles and Fields, Guanajuato, Mexico, Dec. 1992, preprint CERNTH.6978/93.
Adler S. L.: Phys. Rev.177 (1969) 2426.
Bell J. S. and Jackiw R.: Nuovo Cimento A60 (1969) 47.
Bardeen W. A.: Phys. Rev.184 (1969) 1848.
Wess J. and Zumino B.: Phys. Lett. B37 (1971) 95.
Witten E.: Nucl. Phys. B223 (1983) 422.
Coleman S., Wess J., and Zumino B.: Phys. Rev.177 (1969) 2239.
Callan C., Coleman S., Wess J., and Zumino B.: Phys. Rev.177 (1969) 2247.
Manohar A. V. and Georgi H.: Nucl. Phys. B234 (1984) 189.
Weinberg S.: Phys. Rev.118 (1960) 838.
Bijnens J., Ecker G., and Gasser J.: Semileptonic kaon decays,in.
Ecker G., Gasser J., Pich A., and de Rafael E.: Nucl. Phys. B321 (1989) 311.
Donoghue J. F., Ramirez C., and Valencia G.: Phys. Rev. D39 (1989) 1947.
Praszalowicz M. and Valencia G.: Nucl. Phys. B341 (1990) 27.
Bernard V., Kaiser N., and Meißner U.-G.: Nucl. Phys. B364 (1991) 283.
Ecker G., Gasser J., Leutwyler H., Pich A., and de Rafael E.: Phys. Lett. B223 (1989) 425.
Meißner U.-G.: Phys. Rep.161 (1988) 213.
Bandoc M., Kugo T., and Yamawaki K.: Phys. Rep.164 (1988) 115.
Bijnens J., Bruno C., and de Rafael E.: Nucl. Phys. B390 (1993) 501.
The DAΦNE Physics Handbook (Eds. L. Maiani, G. Pancheri and N. Paver). INFN-Frascati, 1992.
Kambor J., Missimer J., and Wyler D.: Nucl. Phys. B346 (1990) 17.
Ecker G., Kambor J., and Wyler D.: Nucl. Phys. B394 (1993) 101.
D'Ambrosio G. and Espriu D.: Phys. Lett. B175 (1986) 237.
Goity J. L.: Z. Phys. C34 (1987) 341.
Ecker G., Pich A., and de Rafael E.: Phys. Lett. B189 (1987) 363.
Cappiello L. and D'Ambrosio G.: Nuovo Cimento A99 (1988) 153.
Funck R. and Kambor J.: Nucl. Phys. B396 (1993) 53.
Ecker G., Neufeld H., and Pich A.: Phys. Lett. B278 (1992) 337; Non-leptonic kaon decays and the chiral anomaly, preprint CERN-TH.6920/93, UWThPh-1993-22.
Bijnens J., Ecker G., and Pich A.: Phys. Lett. B286 (1992) 341.
Gasser J. and Leutwyler H.: Phys. Rep. C87 (1982) 77.
Dashen R.: Phys. Rev.183 (1969) 1245.
Donoghue J. F., Holstein B. R., and Wyler D.: Phys. Rev. D47 (1993) 2089.
Bijnens J.: Phys. Lett. B306 (1993) 343.
Marsiske H. et al. (Crystal Ball Coll.): Phys. Rev. D41 (1990) 3324.
Morgan D. and Pennington M. R.: Phys. Lett. B272 (1991) 134.
Pennington M. R., Predictions forγγ→ππ:.
Donoghue J. F. and Holstein B. R.: Photon-photon scattering, pion polarizability and chiral symmetry. Preprint UMHEP-383. Univ. of Mass., Feb. 1993.
Bellucci S., Gasser J., and Sainio M. E.: (in preparation).
Barr G. D. et al. (NA31 Coll.): Phys. Lett. B242 (1990) 523; B284 (1992) 440. Papadimitriou V. et al. (E731 Coll.): Phys. Rev. D44 (1991) 573.
Cappiello L., D'Ambrosio G., and Miragliuolo M.: Phys. Lett. B298 (1993) 423.
Cohen A. G., Ecker G., and Pich A.: Phys. Lett. B304 (1993) 347.
Gasser J., Sainio M. E., and Švarc A.: Nucl. Phys. B307 (1988) 779.
Krause A.: Helvetica Phys. Acta63 (1990) 3.
Goldberger M. and Treiman S. B.: Phys. Rev.110 (1958) 1178.
Meißner U.-G.: Int. J. Mod. Phys. E1 (1992) 561.
Isgur N. and Wise M.: Phys. Lett. B232 (1989) 113; B237 (1990) 527.
Grinstein B.: Nucl. Phys. B339 (1990) 253.
Eichten E. and Hill B.: Phys. Lett. B234 (1990) 511.
Georgi H.: Phys. Lett. B240 (1990) 447.
Jenkins E. and Manohar A. V.: Phys. Lett. B255 (1991) 558.
Mannel T., Roberts W., and Ryzak Z.: Nucl. Phys. B368 (1992) 204.
Bernard V., Kaiser N., Kambor J., and Meißner U.-G.: Nucl. Phys. B388 (1992) 315.
Jenkins E. and Manohar A. V.:in. Manohar A. V.: Chiral perturbation theory, preprint UCSD/PTH 93-12.
Bernard V., Gasser J., Kaiser N., and Meißner U.-G.: Phys. Lett. B268 (1991) 291.
Davidson R. M.: Czech. J. Phys.44 (1994) 365 (this issue).
Vainshtein A. I. and Zakharov V. I.: Yad. Fiz.12 (1970) 610 [Sov. J. Nucl. Phys.12 (1971) 333]; Nucl. Phys. B36 (1972) 589.
de Baenst P.: Nucl. Phys. B24 (1970) 633.
Scherer S., Koch J. H., and Friar J. L.: Nucl. Phys. A552 (1993) 515.
Bernard V., Kaiser N., and Meißner U.-G.: Nucl. Phys. B383 (1992) 442.
Bernard V., Kaiser N., and Meißner U.-G.: Testing nuclear QCD:γp→π 0 p at threshold, Preprint BUTP-92/13, Univ. Bern, 1992. To appear inπ N Newsletter No. 7 (1992) 62.
Author information
Authors and Affiliations
Additional information
Work supported in part by FWF, Project No. P09505-PHY (EURODAφNE Collaboration).
I want to thank Jürg Gasser and Helmut Neufeld for helpful comments.
Rights and permissions
About this article
Cite this article
Ecker, G. The standard model at low energies. Czech J Phys 44, 405–430 (1994). https://doi.org/10.1007/BF01689769
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01689769