Abstract
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.
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References
K. M. Bitar and S. J. Chang, Phys. Rev. D17, 486 (1978), K. M. Bitar and S. J. Chang, Phys. Rev. D18, 435 (1978).
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.
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.
S.J. Chang and N. Weiss, “Instability of constant Yang-Mills fields”, Phys.Rev. D (in press).
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).
S. Coleman, Phys. Rev. D15, 2929 (1977); l6, 1248 (E) (1977); C.G. Callan and S. Coleman, ibid 16, 1762 (1977).
J.L. Gervais and B. Sakita, Phys.Rev. D16, 3507 (1977).
N.K. Nielsen and P. Olesen, Nuclear Physics B144, 376 (1978).
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].
See e.g. L.D. Landau and E.M. Lifshitz, Quantum Mechanics - Non-Relativistic Theory, Pergamon Press, New York, 1965, Chapter XV.
This is analogous to what Mandula found in the case of an electric source. See Ref.[9].
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© 1980 Plenum Press, New York
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Chang, SJ. (1980). Semiclassical Methods in Field Theories. In: Rühl, W. (eds) Field Theoretical Methods in Particle Physics. NATO Advanced Study Institutes Series, vol 55. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3722-5_5
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