Skip to main content
Log in

Nonperturbative light cone quantum field theory beyond the tree level

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We demonstrate the appearance of spontaneous symmetry breaking induced by nonperturbative quantum corrections for scalar light cone quantum field theory in 1+1 dimensions. We define a light cone effective potential and obtain a second order phase transition.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Susskind: Phys. Rev. 165 (1968) 1535; J. Kogut, L. Susskind: Phys. Rep. 8 (1973) 75

    Google Scholar 

  2. S.-J. Chang, R.G. Root, T.-M. Yan: Phys. Rev. D7 (1973) 1133; S.-J. Chang, T.-M. Yan: Phys. Rev. D7 (1973) 1147; T.-M. Yan: Phys. Rev. D7 (1973) 1760, 1780

    Google Scholar 

  3. S.J. Brodsky, C.R. Ji: in: Lecture Notes in Physics, Vol. 248, C.A. Engelbrecht (ed.) Berlin, Heidelberg, New York: Springer 1986; J.M. Namyslowski: Prog. Part. Nucl. Phys. 14 (1985) 49; S.J. Brodsky, H.C. Pauli: in: Recent aspects of quantum fields. Lecture Notes in Physcis Vol. 396, H. Mitter, H. Gausterer (eds.). Berlin, Heidelberg, New York: Springer 1991

    Google Scholar 

  4. M.B. Johnson, L.S. Kisslinger (eds.): Nuclear and particle physics on the light cone. Singapore: World Scientific 1989

    Google Scholar 

  5. H.C. Pauli, S.J. Brodsky: Phys. Rev. D32 (1985) 1993; 2001; T. Eller, H.C. Pauli, S.J. Brodsky: Phys. Rev. D35 (1987) 1493; K. Hornbostel, H.C. Pauli, S.J. Brodsky: Phys. Rev. D41 (1990) 3814

    Google Scholar 

  6. R.J. Perry, A. Harindranath, K.G. Wilson: Phys. Rev. Lett. 65 (1990) 2959; R.J. Perry, A. Harindranath: Phys. Rev. D43 (1991) 492, 4051

    Google Scholar 

  7. C. Dietmaier, T. Heinzl, M. Schaden, E. Werner: Z. Phys. A-Atomic Nuclei 334 (1989) 215

    Google Scholar 

  8. T. Heinzl, S. Krusche, E. Werner: Phys. Lett. B256 (1991) 55; T. Heinzl, S. Krusche, E. Werner: Phys. Lett. B275 (1992) 410

    Google Scholar 

  9. T. Heinzl, S. Krusche, E. Werner: Phys. Lett. B272 (1991) 54

    Google Scholar 

  10. T. Maskawa, K. Yamawaki: Progr. Theor. Phys. 56 (1976) 270

    Google Scholar 

  11. R.S. Wittman: ——

    Google Scholar 

  12. G. Dunne, R. Jackiw, C. Trugenberger: Ann. Phys. (NY) 194 (1989) 197; D. McMullan, J. Paterson: J. Math. Phys. 30 (1989) 477, 487

    Google Scholar 

  13. G. McCartor, D.G. Robertson: Z. Phys. C—Particles and Fields 53 (1992) 679

    Google Scholar 

  14. T. Heinzl, S. Krusche, E. Werner, B. Zellermann: Regensburg preprint, TPR-92-17

  15. M. Abramowitz, I.A. Stegun (eds.): Handbook of mathematical functions. New York: Dover 1970

    Google Scholar 

  16. K. Symanzik: Commun. Math. Phys. 16 (1970) 48; J. Iliopoulos, C. Itzykson, A. Martin: Rev. Mod. Phys. 47 (1975) 165; D.J.E. Callaway, D.J. Maloof: Phys. Rev. D27 (1983) 406

    Google Scholar 

  17. S. Coleman, E. Weinberg: Phys. Rev. D7 (1973) 1888; Y. Fujimoto, L. O'Raifeartaigh, G. Parravicini: Nucl. Phys. B212 (1983) 268; U. Ritschel: Z. Phys. C—Particles and Fields 47 (1990) 457

    Google Scholar 

  18. S.-J. Chang: Phys. Rev. D12 (1975) 1071; D13 (1976) 2778; P.M. Stevenson: Z. Phys. C — Particles and Fields 24 (1984) 87; Phys. Rev. D30 (1984) 1712; D32 (1985) 1389

    Google Scholar 

  19. C.J. Benesh, J.P. Vary: Z. Phys. C — Particles and Fields 49 (1991) 411

    Google Scholar 

  20. R.W. Haymaker, J. Perez-Mercader: Phys. Rev. D27 (1983) 1548; M. Hindmarsh, D. Johnston: J. Phys. A: Math. Gen. 19 (1986) 141

    Google Scholar 

  21. B. Simon, R.B. Griffiths: Commun. Math. Phys. 33 (1973) 145

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by BMFT contract 06OR 763

Rights and permissions

Reprints and permissions

About this article

Cite this article

Heinzl, T., Krusche, S., Simbürger, S. et al. Nonperturbative light cone quantum field theory beyond the tree level. Z. Phys. C - Particles and Fields 56, 415–420 (1992). https://doi.org/10.1007/BF01565949

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01565949

Keywords

Navigation