Semiclassical Methods in Field Theories

  • Shau-Jin Chang
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 55)


Most of the materials presented in these lectures are taken from a series of publications listed in Refs. 1–4. The first three lectures are dealing with generalized WKB methods. In the last lecture, we discuss the physical origin of the instability associated with a constant B field in a classical Yang-Mills field theory.


Unstable Mode Field Configuration Coulomb Field Temporal Gauge Semiclassical Method 
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  1. 1.
    K. M. Bitar and S. J. Chang, Phys. Rev. D17, 486 (1978), K. M. Bitar and S. J. Chang, Phys. Rev. D18, 435 (1978).MathSciNetADSGoogle Scholar
  2. 2.
    S.J. Chang, “An Example of Quantum Tunneling in Molecular Physics”, Physica 96A, 183 (1979). The above volume of Physica was also published separately as a book “Themes in Contempory Physics”, North-Holland Publ. Comp. f Amsterdam 1979.ADSGoogle Scholar
  3. 3.
    K.M. Bitar, S.J. Chang, G. Grammer and J.D. Stack, “A mechanism for destruction of order in the 2-d nonlinear a model” Preprint, 111-(TH)-78-17.Google Scholar
  4. 4.
    S.J. Chang and N. Weiss, “Instability of constant Yang-Mills fields”, Phys.Rev. D (in press).Google Scholar
  5. 5.
    T. Banks, C.M. Bender, and T.T. Wu, Phys. Rev. D8, 3346 (1973) T. Banks and C.M. Bender, Phys. Rev. D8, 3366 (1973).MathSciNetADSGoogle Scholar
  6. 6.
    S. Coleman, Phys. Rev. D15, 2929 (1977); l6, 1248 (E) (1977); C.G. Callan and S. Coleman, ibid 16, 1762 (1977).Google Scholar
  7. 7.
    J.L. Gervais and B. Sakita, Phys.Rev. D16, 3507 (1977).MathSciNetADSGoogle Scholar
  8. 8.
    N.K. Nielsen and P. Olesen, Nuclear Physics B144, 376 (1978).MathSciNetCrossRefGoogle Scholar
  9. 9.
    There are several earlier and interesting works in this area. See, e.g. J.E. Mandula, Phys. Letters, 67B, 175 (1977); M. Magg, Phys. Letters 78B, 481 (1978); P. Sikivie and N. Weiss, Phys.Rev. Letters 40, 1411 (1978); Phys.Rev. D18, 3809 (1978). See also Ref [8].Google Scholar
  10. 10.
    See e.g. L.D. Landau and E.M. Lifshitz, Quantum Mechanics - Non-Relativistic Theory, Pergamon Press, New York, 1965, Chapter XV.MATHGoogle Scholar
  11. 11.
    This is analogous to what Mandula found in the case of an electric source. See Ref.[9].Google Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Shau-Jin Chang
    • 1
  1. 1.Physics DepartmentUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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