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Functional Approach to Strong-Coupling in (QED)4 and (QCD)4

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Part of the book series: NATO ASI Series ((NSSB,volume 255))

Abstract

In these Lectures, the “Infrared (IR) Method” for extracting relevant low-frequency behavior is described for four-dimensional QED and QCD, using different techniques appropriate to the different theories. The subjects briefly covered are the following.

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References

  1. F. Guérin and H.M. Fried, Phys. Rev. D33 (1986) 3039

    Article  ADS  Google Scholar 

  2. H.M. Fried and T. Grandou, Phys. Rev. D33 (1986) 1151

    Google Scholar 

  3. H-T Cho, T. Grandou, and H.M. Fried, Phys. Rev. D37 (1988) 946 and 960

    ADS  Google Scholar 

  4. H.M. Fried and H-T Cho, Phys. Rev. D41 (1990) 1489

    ADS  Google Scholar 

  5. H.M. Fried, in Proceedings of the IXth Moriond Workshop, Les Arcs, France (January 1989 ).

    Google Scholar 

  6. Pedagogical discussions of functional methods can now be found in many places, e.g. the text Quantum Field Theory, by C. Itzykson and J-B Zuber, (McGraw-Hill, 1980). To the author’s best knowledge, such material first appeared in the monographs Field Theory, by J. Rzewuski, (PWN Publishers, 1972), and Functional Methods and Models in Quantum Field Theory, by H.M. Fried ( MIT Press, 1972 ). Detailed descriptions of topics touched upon in the first Section of the present lecture may be found in the latter reference.

    Google Scholar 

  7. J. Schwinger, Phys. Rev. 82 (1951) 664.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. E.S. Fradkin, Nucl. Phys. 76 (1966) 588.

    Article  MathSciNet  Google Scholar 

  9. This is discussed in Functional Methods and Eikonal Models by H.M. Fried (Editions Frontières, 1990).

    Google Scholar 

  10. H. Bokemeyer and W. Koenig, in this ASI.

    Google Scholar 

  11. H.M. Fried, Phys. Rev. D42 (1990) 1857.

    Google Scholar 

  12. G. Soff and W. Greiner, this ASI.

    Google Scholar 

  13. M.B. Halpern, Phys. Rev. D19 (1979) 517.

    ADS  Google Scholar 

  14. S. Coleman and E. Weinberg, Phys. Rev. D7 (1973) 1888.

    ADS  Google Scholar 

  15. I. Bialynicki-Birula, J. Math. Phys. 3 (1962) 1094.

    Google Scholar 

  16. D.J. Gross and A. Nevue, Phys. Rev. D10 (1974) 3235.

    ADS  Google Scholar 

  17. See, for example, E. Eichten and R. Jackiw, Phys. Rev. D4 (1971) 439

    Article  ADS  Google Scholar 

  18. H.M. Fried and T.K. Gaisser, Phys. Rev. 179 (1969) 1491

    Article  ADS  Google Scholar 

  19. T.K. Gaisser, Phys. Rev. D2 (1970) 1337.

    Google Scholar 

  20. M. Ogilivie and J.E. Mandula, Phys. Letters B185 (1987) 127.

    ADS  Google Scholar 

  21. M.E. Brachet and H.M. Fried, J. Math. Phys. 28 (1987) 15; H.M. Fried, J. Math. Phys. 28 (1987) 1275; 30 (1989) 1161.

    Google Scholar 

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

    Article  Google Scholar 

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© 1991 Plenum Press, New York

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Fried, H.M. (1991). Functional Approach to Strong-Coupling in (QED)4 and (QCD)4 . In: Fried, H.M., Müller, B. (eds) Vacuum Structure in Intense Fields. NATO ASI Series, vol 255. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0441-9_19

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  • DOI: https://doi.org/10.1007/978-1-4757-0441-9_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0443-3

  • Online ISBN: 978-1-4757-0441-9

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