Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Conventions, notation, useful general formulas, abbreviations
- Between Standard Model Strings
- Introduction
- Part I Before supersymmetry
- 1 Phases of gauge theories
- 2 Kinks and domain walls
- 3 Vortices and flux tubes (strings)
- 4 Monopoles and Skyrmions
- 5 Instantons
- 6 Isotropic (anti)ferromagnet: 0(3) sigma model and extensions, including CP(N-1)
- 7 False-vacuum decay and related topics
- 8 Chiral anomaly
- 9 Confinement in 4D gauge theories and models in lower dimensions
- Part II Introduction to supersymmetry
- Index
- References
5 - Instantons
from Part I - Before supersymmetry
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Conventions, notation, useful general formulas, abbreviations
- Between Standard Model Strings
- Introduction
- Part I Before supersymmetry
- 1 Phases of gauge theories
- 2 Kinks and domain walls
- 3 Vortices and flux tubes (strings)
- 4 Monopoles and Skyrmions
- 5 Instantons
- 6 Isotropic (anti)ferromagnet: 0(3) sigma model and extensions, including CP(N-1)
- 7 False-vacuum decay and related topics
- 8 Chiral anomaly
- 9 Confinement in 4D gauge theories and models in lower dimensions
- Part II Introduction to supersymmetry
- Index
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Advanced Topics in Quantum Field TheoryA Lecture Course, pp. 171 - 247Publisher: Cambridge University PressPrint publication year: 2012
References
[1] , Phys. Lett. B 59, 82 (1975) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 19].
[2] , 1976, unpublished.
[3] and , Phys. Rev. Lett. 37, 172 (1976) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 25].
[4] , , and , Phys. Lett. B 63, 334 (1976) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 29].
[5] , , , and , Phys. Lett. B 59, 85 (1975) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 22].
[6] , Phys. Rev. D 14, 3432 (1976). Erratum: ibid. 18, 2199 (1978) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 70].
[7] , Nucl. Phys. B 330, 1 (1990); O. Espinosa, Nucl. Phys. B343, 310 (1990); L. D. McLerran, A. I. Vainshtein, and M. B. Voloshin, Phys. Rev. D42, 171 (1990).
[8] , Nucl. Phys. B 353, 683 (1991).
[9] and , Nucl. Phys. B 371, 177 (1992); Phys. Rev. D46, 3550 (1992).
[10] , Mod. Phys. Lett. A 7, 1661 (1992).
[11] , The QCD Vacuum, Hadrons and the Superdense Matter (World Scientific, Singapore, 2003).Google Scholar
[12] , The uses of instantons, in (ed.), Aspects of Symmetry (Cambridge University Press, 1985), p. 265.Google Scholar
[13] , , , and , ABC of instantons, in (ed.), ITEP Lectures on Particle Physics and Field Theory (World Scientific, Singapore, 1999), Vol. 1, p. 201.Google Scholar
[14] , , and , Phys. Rev. D 17, 2717 (1978); Phys. Rev. D19, 1826 (1979).
[16] , Practical Quantum Mechanics (Springer, Berlin, 1971), Vol. 1, Problem 28; C. Kittel, Quantum Theory of Solids (Wiley & Sons, NewYork, 1963), Chapter 9; N. Ashcroft and N. Mermin, Solid State Physics (Sounders College, Philadelphia, 1976), Chapter 8.Google Scholar
[17] and , Phys. Rev. D 17, 486 (1978).
[18] , , , and , Phys. Lett. B 88, 123 (1979). Erratum: ibid. 91, 487 (1980); M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B166, 493 (1980).
[19] and , Axions and the Strong CP Problem [arXiv:0807.3125 [hep-ph]].
[20] , Phys. Rev. Lett. 40, 223 (1978); F. Wilczek, Phys. Rev. Lett.40, 279 (1978).
[21] G. 't Hooft, unpublished. The 't Hooft solution is presented and discussed in , , and , Phys. Rev. D 15, 1642 (1977).Google Scholar
[22] , , , and , Phys. Lett. A 65, 185 (1978) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 133]; V. G. Drinfeld and Yu. I. Manin, Commun. Math. Phys.63, 177 (1978).
[23] , Field theoretic investigations in current algebra, Section 7, in , , , and (eds.), Current Algebra and Anomalies (Princeton University Press, 1985), p. 81; P. Fayet and S. Ferrara, Phys. Rept.32, 249 (1977).Google Scholar
[24] and , Phys. Lett. B 67, 189 (1977); C. W. Bernard, N. H. Christ, A. H. Guth, and E. J. Weinberg, Phys. Rev. D16, 2967 (1977) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), pp. 149–153].
[25] , Phys. Lett. B 65, 160 (1976) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 116].
[26] , Phys. Rev. D 19, 3013 (1979) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 109].
[27] and , Nucl. Phys. B 44, 189 (1972); G. 't Hooft, Nucl. Phys. B62 444 (1973).
[28] , , , and , Phys. Rev. D 18, 3998 (1978).
[29] , , and , Nucl. Phys. B 165, 45 (1980).
[31] and , Ann. Math. 87, 484 (1968); 87, 546 (1968); 93, 119 (1971).
[32] , Phys. Lett. B 67, 172 (1977).
[33] , , and , Phys. Rev. D 16, 417 (1977).
[34] and , Nucl. Phys. B 235, 395 (1984) [reprinted in S. Ferrara (ed.), Supersymmetry (North-Holland/World Scientific, 1987), p. 572].
[35] , Phys. Rept. 214, 159 (1992); V. A. Rubakov and M. E. Shaposhnikov, Phys. Usp.39, 461 (1996) [arXiv:hep-ph/9603208].
[36] and , Ann. Phys. 110, 440 (1978); T. Banks and E. Rabinovici, Nucl. Phys. B160, 349 (1979); E. H. Fradkin and S. H. Shenker, Phys. Rev. D19, 3682 (1979).
[37] The idea of the constrained instanton was first put forward in and , Phys. Rev. D 19, 540 (1979); I. Affleck, Nucl. Phys. B191, 429 (1981) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 247].Google Scholar
[38] and , Nucl. Phys. B 362, 21 (1991) [reprinted in M. Shifman (ed.), Instantons in Gauge Theories (World Scientific, Singapore, 1994), p. 97].
[39] and , Quantum Mechanics, Third Edition (Elsevier, Amsterdam, 1977), Section 50 (Problems).Google Scholar
[40] and , Phys. Rev. D 30, 2212 (1984); F. R. Klinkhamer and R. Laterveer, Z. Phys. C53, 247 (1992); Y. Brihaye and J. Kunz, Phys. Rev. D47, 4789 (1993).
[41] , , and , Phys. Rev. D 10, 4138 (1974).
[42] , Phys. Rev. D 40, 3463 (1989).
[43] , , and , Phys. Rev. D 66, 036004 (2002) [arXiv:hep-ph/0204224].
[44] , Nucl. Phys. B 459, 263 (1996) [arXiv:hep-th/9504117].
[45] , Phys. Lett. B 117, 324 (1982) [reprinted in S. Treiman, R. Jackiw, B. Zumino, and E. Witten (eds.), Current Algebra and Anomalies (Princeton University Press, 1985) p. 429].
[46] , Models and mechanisms in gauge theory, in Proc. 9th Int. Symp. on Lepton and Photon Interactions at High Energy, Batavia, Illinois, August 1979, eds. and (Batavia, Fermilab., 1980), p. 521.Google Scholar
[47] , , and , Phys. Lett. B 155, 36 (1985).
[48] and Lerran, Phys. Rev. D 36, 581 (1987); Phys. Rev. D37, 1020 (1988).
[49] , Phys. Rev. Lett. 62, 1075 (1989); B. H. Liu, L. D. McLerran, and N. Turok, Phys. Rev. D46, 2668 (1992).
[50] , Fundamentals of the Kinematics of Resonances (Nauka, Moscow, 1970), in Russian; and , Particle Kinematics (John Wiley & Sons, 1973).Google Scholar
[51] , , and , Nucl. Phys. B 350, 441 (1991).
[52] and , Nucl. Phys. B 355, 351 (1991).
[53] , Instanton induced effective Lagrangian in the gauge Higgs theory, Report SISSA-181-90-EP, 1990.
[54] and , Nucl. Phys. B 389, 109 (1993); I. Balitsky and A. Schafer, Nucl. Phys. B404, 639 (1993) [arXiv:hep-ph/9304261].
[55] , Sov. J. Nucl. Phys. 10, 235 (1970).
[56] , Historical curiosity: how asymptotic freedom of the Yang–Mills theory could have been discovered three times before Gross, Wilczek and Politzer, but was not, in (ed.), At the Frontier of Particle Physics (World Scientific, Singapore, 2000), Vol. 1 p. 126.Google Scholar
[57] , , , and , Nucl. Phys. B 260, 157 (1985).
[58] and , Instantons versus supersymmetry: fifteen years later, in (ed.), ITEP Lectures on Particle Physics and Field Theory (World Scientific, Singapore, 1999) Vol. 2, pp. 485–647 [hep-th/9902018].Google Scholar
[59] , Unification and Supersymmetry, Third Edition (Springer, 2002); L. B. Okun, Leptons and Quarks (Elsevier, 1985).Google Scholar
[60] and , Phys. Rept. 441, 191 (2007) [arXiv:hep-ph/0601023].
[61] , Nucl. Phys. B 203, 311 (1982).
[62] , Nucl. Phys. B 212, 391 (1983).
[63] and , Nucl. Phys. B 239, 161 (1984).
[64] , , , , , and , Phys. Rept. 41, 1 (1978).
[65] and , Nucl. Phys. B 193, 210 (1981).
[66] , Ann. Phys. 122, 321 (1979).