Skip to main content
SpringerLink
Log in

A criterion of consistency for gauge theories in the axial gauge

  • II Spurious Poles and Problems with Feynman-Integrals
  • Conference paper
  • First Online:
Book cover Physical and Nonstandard Gauges

Part of the book series: Lecture Notes in Physics ((LNP,volume 361))

  • 150 Accesses

Abstract

An attempt to define precise Feynman rules for theories of gauge fields in axial gauges is made by requiring consistency with theories in covariant gauges. The Wilson line operators are used to construct a modified fermion propagator which is invariant under a restricted class of gauge transformations comprising the ones that relate axial to some covariant gauge. Calculating the modified fermion propagator in the axial gauge with the Cauchy principal value prescription for spurious singularities of the gauge field propagator and with the Landshoff's prescription, it is found to one-loop order that at least one of the prescriptions is not consistent with covariant gauge Feynman rules.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Frenkel, Phys. Rev. D13 (1976) 2325.

    Google Scholar 

  2. R. Delbourgo, A. Salam, and J. Strathdee, Nuovo Cimento 23A (1974) 54.

    Google Scholar 

  3. J.A. Dixon and J.C. Taylor, Nucl. Phys. B78 (1974) 553.

    Google Scholar 

  4. W. Kummer, Acta Phys. Austriaca, Suppl XV (1976) 423.

    Google Scholar 

  5. D. Amati, R. Petronzio, and G. Veneziano, Nucl. Phys. B140 (1978) 54.

    Google Scholar 

  6. Y.P. Yao, J. Math. Phys. 5 (1964) 1319; W. Kainz, W. Kummer, and M. Schweda, Nucl. Phys. B79 (1974) 484

    Google Scholar 

  7. S. Caracciolo, G. Curci, and P. Menotti, Phys. Lett. 113B (1982) 331.

    Google Scholar 

  8. A. Andraši and J.C. Taylor, Nucl. Phys. B310 (1988) 222.

    Google Scholar 

  9. H. Cheng and E.C. Tsai, Nucl. Phys. D36 (1987) 3196.

    Google Scholar 

  10. P. Gaigg, M Kreuzer, M. Schweda, and O. Piguet, J. Math. Phys. 28 (1987) 2781; M. Kreuzer, G. Pollak, H. Skarke, and M. Schweda, Phys. Lett. 196B (1987) 557.

    Google Scholar 

  11. P. V. Landshoff, Phys. Lett. 169B (1986) 69.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute J. Stefan, E. Kardelj University, Jamova 39, 61111, Ljubljana, Yugoslavia

    M. Poljšak

Authors
  1. M. Poljšak
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. Gaigg W. Kummer M. Schweda

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Poljšak, M. (1990). A criterion of consistency for gauge theories in the axial gauge. In: Gaigg, P., Kummer, W., Schweda, M. (eds) Physical and Nonstandard Gauges. Lecture Notes in Physics, vol 361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015149

Download citation

  • DOI: https://doi.org/10.1007/BFb0015149

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52815-9

  • Online ISBN: 978-3-540-47156-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation