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International Journal of Theoretical Physics

, Volume 38, Issue 3, pp 887–895 | Cite as

Quantization of Strongly Interacting Fields

  • V. Dzhunushaliev
  • D. Singleton
Article

Abstract

While perturbative techniques work extremelywell for weakly interacting field theories (e.g., QED),they are not useful when studying strongly interactingfield theories (e.g., QCD at low energies). In this paper we review Heisenberg's idea aboutquantizing strongly interacting nonlinear fields, andsuggest an approximate method of solving the infiniteset of Tamm-Dankoff equations. We then apply this procedure to an infinite-energy, classicalflux-tube-like solution of SU(2) Yang-Mills theory andshow that this quantization procedure ameliorates someof the bad behavior of the classical solution. We also discuss the possible application of thisquantization procedure to a recently proposed stronglyinteracting phonon model of high-Tcsuperconductors.

Keywords

Field Theory Elementary Particle Quantum Field Theory Classical Solution Approximate Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    V. D. Dzhunushaliev, Phys. Rev. B, 54, 10121 (1996).Google Scholar
  2. 2.
    H. R. Krishnamurty et al., Phys. Rev. B, 49, 3520 (1994).Google Scholar
  3. 3.
    W. Heisenberg, Nachr. Akad. Wiss. Göttingen 8, 111 (1953); W. Heisenberg, Z. Naturforsch. 9a, 292 (1954); W. Heisenberg, F. Kortel, and H. Mütter, Z. Naturforsch. 10a, 425 (1955); W. Heisenberg, Z. Phys. 144, 1 (1956); P. Askali and W. Heisenberg, Z. Naturforsch. 12a, 177 (1957); W. Heisenberg, Nucl. Phys. 4, 532 (1957); W. Heisenberg, Rev. Mod. Phys. 29, 269 (1957).Google Scholar
  4. 4.
    W. Heisenberg, Introduction to the Unified Field Theory of Elementary Particles, Interscience, New York, (1966).Google Scholar
  5. 5.
    V. D. Dzhunushaliev, Confining properties of the classical SU(3) Yang-Mills theory, hepth/ 9611096.Google Scholar
  6. 6.
    H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973); D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • V. Dzhunushaliev
  • D. Singleton

There are no affiliations available

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