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The QCD Vacuum and Chiral Symmetry

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Hadrons and Hadronic Matter

Part of the book series: NATO ASI Series ((NSSB,volume 228))

Abstract

These lectures review low-energy processes in the framework of QCD. In particular, methods and results of chiral perturbation theory (χPT) will be discussed.

Work supported in part by Schweizerischer Nationalfonds

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References

  1. J. Gasser and H. Leutwyler, Phys. Rep. 87C (1982) 77.

    Article  ADS  Google Scholar 

  2. C.A. Dominguez and E. de Rafael, Ann. Phys. (N.Y.) 174 (1987) 372.

    Article  ADS  Google Scholar 

  3. J.W. Negele, QCD and hadrons on a lattice. Lectures given at this school.

    Google Scholar 

  4. S. Weinberg, Phys. Rev. Lett.18 (1967) 188.

    Article  ADS  Google Scholar 

  5. R. Dashen, Phys. Rev. 183 (1969) 1245;

    Article  ADS  Google Scholar 

  6. R. Dashen and M. Weinstein, Phys. Rev. 183 (1969) 1261; 188 (1969) 2330.

    Article  MathSciNet  ADS  Google Scholar 

  7. L.-F. Liaad., H. Pagels, Phys. Rev. Lett. 26 (1971) 1204;27 (1971) 1089; Phys. Rev. D5 (1972) 1509.

    Article  ADS  Google Scholar 

  8. P. Langacker and H. Pagels, Phys. Rev. D8 (1973) 4595;D10 (1974) 2904.

    ADS  Google Scholar 

  9. H. Pagels, Phys. Rep. 16C (1975) 219.

    Article  MathSciNet  ADS  Google Scholar 

  10. S. Weinberg, Physica 96A (1979) 327.

    ADS  Google Scholar 

  11. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158 (1984) 142.

    Article  MathSciNet  ADS  Google Scholar 

  12. J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 465.

    Article  ADS  Google Scholar 

  13. J. Gasser, M.E. Sainio and A. Svarc, Nucl. Phys. B307 (1988) 779.

    Article  ADS  Google Scholar 

  14. J. Bijnens and M.B. Wise, Phys. Lett. 137B (1984) 245;

    ADS  Google Scholar 

  15. J. Bijnens, H. Sonoda and M.B. Wise, Phys. Rev. Lett. 53 (1984) 2367

    Article  ADS  Google Scholar 

  16. G. D’Ambrosio and D. Espriu,Phys. Lett. 175B (1986) 237

    ADS  Google Scholar 

  17. J. F. Donoghue et al., Phys. Lett. 179B (1986) 361

    ADS  Google Scholar 

  18. J. L. Goity, Z. Phys. C34 (1987) 341;

    ADS  Google Scholar 

  19. G. Ecker, A. Pich and E. de Rafael, Nucl. Phys. B291 (1987) 692; Phys. Lett. 189B (1987) 363; Nucl. Phys. B303 (1988) 665;

    Article  ADS  Google Scholar 

  20. J. Kambor, J. Missimer and D. Wyler, The chiral loop expansion of the nonlep- tonic weak interactions of mesons. Preprint ETH Zürich, August 1989.

    Google Scholar 

  21. J. Gasser and H. Leutwyler, Phys. Lett. 184B (1987) 83;188B (1987) 477; Nucl. Phys. B307 (1988) 763.

    ADS  Google Scholar 

  22. S.L. Adler and R.F. Dashen, ‘Current’Algebras and Applications to Particle Physics’, Benjamin, New York (1968).

    MATH  Google Scholar 

  23. R.D. Peccei and J. Sola, Nucl. Phys. B281 (1987) 1

    Article  ADS  Google Scholar 

  24. C.A. Dominguez and J. Sola, Z. Phys. C40 (1988) 63.

    ADS  Google Scholar 

  25. Y. Nambu, Phys. Rev. Lett. 4 (1960) 380; Phys. Rev. 117 (1960) 648

    Article  ADS  Google Scholar 

  26. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961) 345; Phys. Rev. 124 (1961) 246.

    Article  ADS  Google Scholar 

  27. J. Goldstone, Nuovo Cim. 19 (1961) 154

    Article  MathSciNet  MATH  Google Scholar 

  28. J. Goldstone, A. Salam and S. Weinberg, Phys. Rev. 127 (1962) 965.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. M. Gell-Mann, R.J. Oakes and B. Renner, Phys. Rev. 175 (1968) 2195.

    Article  ADS  Google Scholar 

  30. E.V. Shuryak, ‘The QCD vacuum, hadrons and the superdense matter’. World Scientific Publishing Company, Singapore (1988).

    Google Scholar 

  31. M.A. Shifman, A.L Vainshtein and V.I. Zakharov, Nucl. Phys. B147 (1979) 385,448,519.

    Article  ADS  Google Scholar 

  32. L.D. Landau and E.M. Lifshitz, ‘Electrodynamics of continuous media’, Pergamon Press, New York (1960), section 14.

    MATH  Google Scholar 

  33. C. Itzykson and J.-B. Zuber, ‘Quantum Field Theory’, McGraw-Hill Inc., New York (1980), p.328.

    Google Scholar 

  34. J.B. Kogut, A review of the lattice gauge theory approach to quantum chromodynamics, in: ‘Recent advances in field theory and statistical mechanics’, Les Houches, Aug.2 - Sept.10, 1982 (Session XXXIX). North-Holland Physics Publishing, Amsterdam (1984).

    Google Scholar 

  35. J.B. Kogut and L. Susskind, Phys. Rev. D9 (1974) 3501.

    ADS  Google Scholar 

  36. H. Lehmann and T.T. Wu, Nucl. Phys. B237 (1984) 205.

    Article  MathSciNet  ADS  Google Scholar 

  37. S. Adler and T. Piran, Rev. Mod. Phys. 56 (1984) 1.

    Article  MathSciNet  ADS  Google Scholar 

  38. S. Mandelstam, Phys. Rev. D19 (1979) 2391;

    ADS  Google Scholar 

  39. G. ‘t Hooft, Nucl. Phys. B190 [FS3] (1981) 455.

    Article  ADS  Google Scholar 

  40. J.W. Alcock, M.J. Burfitt and W.N. Cottingham, Nucl. Phys. B266 (1983) 299

    Article  ADS  Google Scholar 

  41. V.R Nair and C. Rosenzweig, Phys. Rev. D31 (1985) 401;

    ADS  Google Scholar 

  42. M. Backer, J.S. Ball and F. Zachariasen, Phys. Rev. D31 (1985) 2575;

    ADS  Google Scholar 

  43. F. Zachariasen, Comm. Nucl. Part. Phys. 17 (1987) 135.

    Google Scholar 

  44. J.S. Ball and A. Caticha, Phys. Rev. D37 (1988) 524.

    ADS  Google Scholar 

  45. M. Baker, J.S. Ball and F. Zachariasen, Phys. Rev. D37 (1988) 1036.

    ADS  Google Scholar 

  46. J. Hosek, Phys. Lett. 226B (1989) 377.

    ADS  Google Scholar 

  47. M.E. Peskin, Chiral symmetry and chiral symmetry breaking, in: ‘Recent advances in field theory and statistical mechanics’, Les Houches, Aug.2 - Sept.10, 1982 (Session XXXIX). North-Holland Physics Publishing, Amsterdam (1984).

    Google Scholar 

  48. T. Banks and A. Casher, Nucl. Phys. B169 (1980) 103;

    Article  MathSciNet  ADS  Google Scholar 

  49. E. Marinari, G. Parisi and C. Rebbi, Phys. Rev. Lett. 47 (1981) 1795

    Article  ADS  Google Scholar 

  50. C. Vafa and E. Witten, Nucl. Phys. B234 (1984) 173.

    Article  MathSciNet  ADS  Google Scholar 

  51. E. Floratos and J. Stern, Phys. Lett. 119B (1982) 419.

    ADS  Google Scholar 

  52. M.A. Shifman, Ann. Rev. Nucl. Part. Sci. 33 (1983) 199.

    Article  ADS  Google Scholar 

  53. L.J. Reinders, H. Rubinstein and S. Yazaki, Phys. Rep. 127C (1985) 1

    Article  ADS  Google Scholar 

  54. S. Narison, Riv. Nuovo Cimento 10 (1987) 1;

    Google Scholar 

  55. R.A. Bertlmann, QCD Sum Rules: Selected Topics. Plenary Talk given at the conference ‘Quarks - 88’, May 1988, Tbilisi, USSR (Preprint UWThPh-1988–26).

    Google Scholar 

  56. E.M. Ilgenfritz and M. Müller-Preussker, Phys. Lett. 119B (1982) 395;

    ADS  Google Scholar 

  57. M. Campostrini, G. Curci, A. Di Giacomo and G. Paffuti, Z. Phys. 32 (1986) 377;

    Google Scholar 

  58. M. Campostrini, A. Di Giacomo and Y. Gündüc, Gluon Condensation in SU(3) Lattice Gauge Theory, Preprint Università di Pisa, IFUP-TH 13/89.

    Google Scholar 

  59. M.B. Voloshin, Nucl. Phys. B154 (1979) 365

    Article  ADS  Google Scholar 

  60. Sov, J. Nucl. Phys. 35 (1982) 592.

    Google Scholar 

  61. H. Leutwyler, Phys. Lett. 98B (1981) 447.

    ADS  Google Scholar 

  62. The literature on the subject may be traced from ref. [38].

    Google Scholar 

  63. A. Krämer, H.G. Dosch and R.A. Bertlmann, Estimate of the Background Gluon Correlation Time from Bottonium, Preprint UWThPh-1989–10.

    Google Scholar 

  64. D. Gross, R. Pisarski and L. Yaffe, Rev. Mod. Phys. 53 (1981) 43

    Article  MathSciNet  ADS  Google Scholar 

  65. O.K. Kalshnikov, Fortschr. Phys. 32 (1984) 525;

    Article  Google Scholar 

  66. L. van Hove, ‘The Quark-Gluon Plasma - A Progress Report’, CERN TH 5069/88.

    Google Scholar 

  67. The literature on the subject may be traced from ref. [41].

    Google Scholar 

  68. P. Gerber and H. Leutwyler, Nucl. Phys.B321 (1989) 387.

    Article  ADS  Google Scholar 

  69. S. Weinberg, Phys. Rev. Lett. 17 (1966) 616.

    Article  ADS  Google Scholar 

  70. M.M. Nagels et al., Nucl. Phys. B147 (1979) 189.

    Article  ADS  Google Scholar 

  71. T.N. Truong, Chiral Perturbation Theory and Final State Theorem, Preprint Ecole Poly technique, Palaiseau (France), March 1988.

    Google Scholar 

  72. J.F. Donoghue, C. Ramirez and G. Valencia, Phys. Rev. D38 (1988) 2195.

    ADS  Google Scholar 

  73. A.W. Nilsson, Report given at the XXIV Int. Conf. on High Energy Physics, Munich (1988).

    Google Scholar 

  74. D.G. Boulware and L.S. Brown, Ann. Phys. (N.Y.) 138 (1982) 392.

    Article  MathSciNet  ADS  Google Scholar 

  75. J. Wess and B. Zumino, Phys. Lett. 37B (1971) 95.

    MathSciNet  ADS  Google Scholar 

  76. J. Balog, Phys. Lett. 149B (1984) 197;

    ADS  Google Scholar 

  77. A.A. Andrianov, Phys. Lett. 157B (1985) 425;

    MathSciNet  ADS  Google Scholar 

  78. N.I. Karchev and A.A. Slavnov, Theor. Math. Phys. 65 (1985) 1099 [Teor. Mat. Fiz. 65 (1985) 192].

    Article  Google Scholar 

  79. L.-H. Chan, Phys. Rev. Lett. 55 (1985) 21

    Article  ADS  Google Scholar 

  80. A. Zaks, Nucl. Phys. B260 (1985) 241

    Article  MathSciNet  ADS  Google Scholar 

  81. P. Simic, Phys. Rev. D34 (1986) 1903

    ADS  Google Scholar 

  82. A.A. Andrianov et al., Phys. Lett. 186B (1987) 401

    ADS  Google Scholar 

  83. G. Ecker, J. Gasser, A. Pich and E. de Rafael, Nucl. Phys.B321 (1989) 311

    Article  ADS  Google Scholar 

  84. J.F. Donoghue, C. Ramirez and G. Valencia, Phys. Rev. D39 (1989) 1947.

    ADS  Google Scholar 

  85. G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Phys. Lett. B223 (1989) 425.

    ADS  Google Scholar 

  86. J. Gasser and H. Leutwyler, Phys. Lett. 125B (1983) 325.

    ADS  Google Scholar 

  87. H. Leutwyler and M. Roos, Z. Phys. C25 (1984) 91.

    ADS  Google Scholar 

  88. J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 539.

    Article  ADS  Google Scholar 

  89. H. Leutwyler, Chiral perturbation theory - strong and semileptonic weak interactions, in: Proceedings of the Ringberg Workshop, Nucl. Phys. B7A (Proc.Suppl.) (1989) 42.

    Article  Google Scholar 

  90. J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 517.

    Article  ADS  Google Scholar 

  91. R. Dashen and M. Weinstein, Phys. Rev. Lett. 22 (1969) 1337.

    Article  ADS  Google Scholar 

  92. G. Donaldson et al., Phys. Rev. D9 (1974) 2960.

    ADS  Google Scholar 

  93. D.G. Hill et al, Nucl. Phys. B153 (1979) 39.

    Article  ADS  Google Scholar 

  94. Y. Cho et al., Phys. Rev. D22 (1980) 2688.

    Google Scholar 

  95. V.K. Birulev et al., Nucl. Phys. B182 (1981) 1.

    Article  ADS  Google Scholar 

  96. L. Rosselet et al., Phys. Rev. D15 (1977) 574.

    ADS  Google Scholar 

  97. Particle Data Group: G.P. Yost et al., Phys. Lett. 204B (1988) 1.

    MathSciNet  ADS  Google Scholar 

  98. J.A. Cronin, Phys. Rev. 161 (1967) 1483

    Article  ADS  Google Scholar 

  99. L.M. Chounet et al., Phys. Rep. C4 (1972) 199;

    Article  ADS  Google Scholar 

  100. C. Riggenbach, Chirale Störungstheorie und Kl 4 - Zerfälle. Lizentiatsarbeit, Institut für theoretische Physik, Universität Bern, Bern (1988).

    Google Scholar 

  101. J.F. Donoghue, B.R. Holstein and S.W. Klimt, Phys. Rev. D35 (1987) 934.

    ADS  Google Scholar 

  102. J.F. Donoghue, J. Gasser, B.R. Holstein and C. Riggenbach, work in progress.

    Google Scholar 

  103. T.N. Truong, Modern application of dispersion relation: chiral perturbation vs dispersion technique, in: Festschrift for Professor K. Nishijima of the University of Tokyo and the Research Institute of Fundamental Physics, Kyoto University (Preprint CERN-TH4748/87).

    Google Scholar 

  104. T.R Cheng and R. Dashen, Phys. Rev. Lett. 26 (1971) 594.

    Article  ADS  Google Scholar 

  105. T.R Cheng, Phys. Rev. D13 (1976) 2161;D38 (1988) 2869.

    ADS  Google Scholar 

  106. C.A. Dominguez and P. Langacker, Phys. Rev. D24 (1981) 1905

    ADS  Google Scholar 

  107. R.L. Jaffe, Phys. Rev. D21 (1980) 3215;

    MathSciNet  ADS  Google Scholar 

  108. J.F. Donoghue and C.R. Nappi, Phys. Lett. 168B (1986) 105;

    ADS  Google Scholar 

  109. J.F. Donoghue, Proc. 2nd Intern. Workshop on πN physics (Los Alamos,1987), eds. W.R. Gibbs and B.M.K. Nefkens, Los Alamos report LA-11184-C (1987), p. 283.

    Google Scholar 

  110. J. Gasser, Ann. Phys. (N.Y.) 136 (1981) 62. 116

    Article  ADS  Google Scholar 

  111. J. Gasser, Nucl. Phys. B279 (1987) 65;

    Article  ADS  Google Scholar 

  112. J. Gasser, Proc. 2nd Intern. Workshop on π N physics (Los Alamos, 1987), eds. W.R. Gibbs and B.M.K. Nefkens, Los Alamos report LA-11184-C (1987), p. 266.

    Google Scholar 

  113. G. Höhler, in: Landoldt-Börnstein, ed. H. Schopper (Springer, Berlin, 1983) Vol. 9 b2.

    Google Scholar 

  114. R. Koch, Z. Phys. C15 (1982) 161.

    ADS  Google Scholar 

  115. J. Gasser, H. Leutwyler, M.P. Locher and M.E. Sainio, Phys. Lett. 213B (1988) 85.

    ADS  Google Scholar 

  116. M.E. Sainio, How to extract the pion-nucleon sigma term from data. Invited talk given at the 3rd International Symposium on Pion-Nucleon and Nucleon- Nucleon Physics, Gatchina, Leningrad, April 17–22, 1989. To be published in the proceedings.

    Google Scholar 

  117. L.S. Brown, W.J. Pardee and R.D. Peccei, Phys. Rev. D4 (1971) 2801.

    ADS  Google Scholar 

  118. H. Pagels and W.J. Pardee, Phys. Rev. D4 (1971) 3335.

    ADS  Google Scholar 

  119. J. Gasser, H. Leutwyler and M.E. Sainio, work in progress.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, CH-3012, Bern, Switzerland

    Jürg Gasser

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  1. Jürg Gasser
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Editors and Affiliations

  1. Université Paris-Sud, Orsay, France

    D. Vautherin

  2. Universität Erlangen, Erlangen, Federal Republic of Germany

    F. Lenz

  3. Massachusetts Institite of Technology, Cambridge, Massachusetts, USA

    J. W. Negele

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© 1990 Plenum Press, New York

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Gasser, J. (1990). The QCD Vacuum and Chiral Symmetry. In: Vautherin, D., Lenz, F., Negele, J.W. (eds) Hadrons and Hadronic Matter. NATO ASI Series, vol 228. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1336-6_4

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