Skip to main content

Nonperturbative Renormalization in Light-Cone Quantization

  • Chapter
High-Energy Physics and Cosmology
  • 107 Accesses

Abstract

Light-cone quantization1 has attracted some interest as a means to perform nonperturbative analyses of quantum field theories.2 There are good reasons to hope that this technique will provide the leverage needed to obtain a qualitative, and perhaps quantitative, connection between quantum chromodynamics (QCD) and the constituent quark model.3 Given the complexity of QCD, it is useful to first study simpler theories such as quantum electrodynamics (QED) and even models in 1 + 1 spacetime dimensions rather than 3 + 1 dimensions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.A.M. Dirac, Rev. Mod. Phys. 21:392 (1949).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. For reviews and references to recent work, see S.J. Brodsky and H.-C. Pauli, in Recent Aspects of Quantum Fields, Lecture Notes in Physics Vol. 396, H. Mitter and H. Gausterer, eds., Springer-Verlag, Berlin (1991); S J. Brodsky, G. McCartor, H.-C. Pauli, and S.S. Pinsky, Part. World 3:109 (1993); M. Burkardt, Adv. Nucl. Phys. 23:1 (1996).

    Google Scholar 

  3. K.G. Wilson, T.S. Walhout, A. Harindranath, W.-M. Zhang, R.J. Perry, and St. D. Glazek, Phys. Rev. D49:6720 (1994).

    MathSciNet  ADS  Google Scholar 

  4. I. Tamm, J. Phys. (Moscow) 9:449 (1945); S.M. Dancoff, Phys. Rev. 78:382 (1950).

    Google Scholar 

  5. R.J. Perry, A. Harindranath, and K.G. Wilson, Phys. Rev. Lett. 65:2959 (1990).

    Article  ADS  Google Scholar 

  6. J.R. Hiller, in Theory of Hadrons and Light-Front QCD, St.D. Glazek, ed., World Scientific, Singapore (1995), p. 277; J.R. Hiller and S J. Brodsky, Nonperturbative renormalization of QED in light-cone quantization, hep-ph/9608493, to appear in the proceedings of DPF96, Minneapolis, MN, August 11–15, 1996; J.R. Hiller and S.J. Brodsky, in preparation.

    Google Scholar 

  7. W. Pauli and F. Villars, Rev. Mod. Phys. 21:4334 (1949).

    Article  MathSciNet  Google Scholar 

  8. H.-C. Pauli and S.J. Brodsky, Phys. Rev. D32:1993 (1985); D32:2001 (1985).

    MathSciNet  ADS  Google Scholar 

  9. G.P. Lepage, summary talk, SMU light-cone conference (1991).

    Google Scholar 

  10. S.J. Brodsky and S.D. Drell, Phys. Rev. D22:2236 (1980).

    ADS  Google Scholar 

  11. A.C. Tang, S.J. Brodsky, and H.-C. Pauli, Phys. Rev. D44:1842 (1991).

    MathSciNet  ADS  Google Scholar 

  12. J. Schwinger, Phys. Rev. 73:416 (1948); 76:790 (1949).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. For a light-cone Tamm-Dancoff bound-state calculation, see St. Glazek, A. Harindranath, S. Pinsky, J. Shigemitsu, and K. Wilson, Phys. Rev. D47:1599 (1993); P.M. Wort, ibid. 47:608 (1993).

    ADS  Google Scholar 

  14. For a discussion of Pauli-Villars regularization in the context of light-cone quantization and the Yukawa model, see M. Burkardt and A. Langnau, Phys. Rev. D44:1187 (1991).

    MathSciNet  ADS  Google Scholar 

  15. C. Bouchiat, P. Fayet, and N. Sourlas, Lett. Nuovo Cim. 4:9 (1972); S.-J. Chang and T.-M. Yan, Phys. Rev. D7:1147 (1973).

    Article  Google Scholar 

  16. S. J. Brodsky, J.R. Hiller, and G. McCartor, in preparation.

    Google Scholar 

  17. G. McCartor and D.G. Robertson, Z. Phys. C53:679 (1992).

    ADS  Google Scholar 

  18. O.W. Greenberg and S.S. Schweber, Nuovo Cim. 8:378 (1958); S.S. Schweber, An introduction to relativistic quantum field theory, Row, Peterson, Evanston, IL (1961), p. 339.

    Article  MathSciNet  MATH  Google Scholar 

  19. St D. G lazek and R.J. Perry, Phys. Rev. D45:3734 (1992).

    MathSciNet  ADS  Google Scholar 

  20. D. Mustaki and S. Pinsky, Phys. Rev. D45:3775 (1992).

    ADS  Google Scholar 

  21. See, for example, A.C. Kalloniatis and H.-C. Pauli, Z. Phys. C60:255 (1993); 63:161 (1994).

    ADS  Google Scholar 

  22. A.C. Kalloniatis and D.G. Robertson, Phys. Rev. D50:5262 (1994).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this chapter

Cite this chapter

Hiller, J.R. (1997). Nonperturbative Renormalization in Light-Cone Quantization. In: Kursunoglu, B.N., Mintz, S.L., Perlmutter, A. (eds) High-Energy Physics and Cosmology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5397-7_18

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-5397-7_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7464-0

  • Online ISBN: 978-1-4615-5397-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics