Skip to main content
SpringerLink
Log in
Book cover

Field Theory, Quantization and Statistical Physics pp 33–57Cite as

Computing Methods in Quantum Electrodynamics

  • Chapter

Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 6))

Abstract

Algebraic and numerical computing methods used for calculations in quantum electrodynamics are reviewed. Computer algebra systems suitable for high energy physics computations are presented. The impact of these methods on the evaluation of the Lamb shift in hydrogen and of the anomalous magnetic moment of leptons is shown.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Jouvet, B., ‘La théorie quantique des champs. Les théories dynamiques de la matière’, in Relativité et Quanta. Les grandes théories de la Physique Moderne, pp. 83–136, Masson and Cie., Paris, 1968. Or any other book on Quantum Field Theory.

    Google Scholar 

  2. Calmet, J., and Peterman, A., unpublished.

    Google Scholar 

  3. Lautrup, B ., in A. Visconti (ed.),Proc. 3rd Int. Colloq. on Adv. Comput. Meth. in Theor. Phys., Marseille, 1971.

    Google Scholar 

  4. Calmet, J., and Peterman, A., Phys. Lett. 47B, 369 (1973).

    Article  Google Scholar 

  5. Cvitanovic, P., Kinoshita, T., Phys. Rev. D10, 40. 07 (1974).

    Google Scholar 

  6. Lepage, G. P., J. Comp. Phys. 27, 192 (1978).

    Article  ADS  MATH  Google Scholar 

  7. Sasaki, T., in A. Visconti (ed.), Proc. 4th Coll. Adv. Comput. Meth. in Theor. Phys., St. Maximin, 1977.

    Google Scholar 

  8. Friedman, J., SLAC-PUB-2006 (Rev.), July 1978.

    Google Scholar 

  9. Levine, M. J., and Wright, J., Phys. Rev. D8, 3171 (1973).

    ADS  Google Scholar 

  10. A complete list of references can be found in: Lautrup, B. E., Peterman, A., and de Rafael, E., Phys. Rep. 3, 193 (1972).

    Article  ADS  Google Scholar 

  11. Barbieri, R., et al ., Nucl. Phys. B144, 329 (1978).

    Article  ADS  Google Scholar 

  12. Levine, M. J., and Roskies, R., Phys. Rev. D9, 421 (1974).

    ADS  Google Scholar 

  13. Levine, M. J., Remiddi, E., and Roskies, R., Phys. Rev. D20, 2068 (1979).

    ADS  Google Scholar 

  14. Maison, D., and Peterman, A., Comp. Phys. Comm. 7, 121 (1974).

    Article  ADS  Google Scholar 

  15. Strubbe, H., Comp. Phys. Comm. 18, 1 (1979).

    Article  ADS  Google Scholar 

  16. Hearn, A. C., ‘REDUCE 2 User’s Manual’, Univ. of Utah (1973), unpublished.

    Google Scholar 

  17. Fox, J. A., and Hearn, A. C., J. Comp. Phys. 14, 301 (1974).

    Article  ADS  MATH  Google Scholar 

  18. Symbolic and Algebraic Computation’. In E. W. Ng (ed.) Proc. of EUROSAM 79, Marseille, June 1979, Lecture Notes in Computer Science, 72 (1979), Springer-Verlag.

    Google Scholar 

  19. MATHLAB Group, MACSYMA Reference Manual, Version 9, M.I.T., (1977).

    Google Scholar 

  20. Moses, J., Communications ACM, 14, 548 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  21. Risch, R. H., Bulletin A.M.S. 76, 605 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  22. Reports of J. H. Davenport and of B. M. Trager in ref. 18.

    Google Scholar 

  23. See for instance the report of M. King and P. Hayes, in E. Charniak and Y. Wilks (eds.), Computational Semantics, North-Holland, 1976.

    MATH  Google Scholar 

  24. Campbell, J.A ., in Computing as a Language of Physics, International Atomic Energy Agency, Vienna, 1972, p. 391.

    Google Scholar 

  25. Calmet, J., and Perrottet, M., J. Comp. Phys. 1, 191 (1971).

    Article  ADS  Google Scholar 

  26. J. Fitch, in ref. [18].

    Google Scholar 

  27. Calmet, J., in H. Bacry (ed.), Proc. of the Coll. ‘Regards sur la Phys. Thèor. D’ Aujourd’ hui’ Marseille, July 1979, Editions du CNRS (to be published in 1980 ).

    Google Scholar 

  28. Hearn, A. C., in A. Visconti (ed.), Proc. 3rd Int. Coll. on Adv. Comput. Meth. in Theor. Phys., Marseille, June 1973.

    Google Scholar 

  29. REDUCE Newsletters, 1–6, A. C. Hearn (ed.), Univ. of Utah.

    Google Scholar 

  30. Siret, Y., IMAG Grenoble, Personal Communication.

    Google Scholar 

  31. Levine,.M. J., and Roskies, R., in A. Visconti (ed.), Proc. 4th Coll. on Adv. Comput. Meth. in Theor. Phys., St. Maximin, March 1977.

    Google Scholar 

  32. Moses, J., ACM-SIGSAM Bulletin 8, 105 (1974).

    Article  Google Scholar 

  33. Brenner, R. L., in V. E. Lewis (ed.), Proceedings ‘1979 MACSYMA User’s Conference’, Washington, July 1979, M.I.T., 1979.

    Google Scholar 

  34. Wolfram, S., ibid.

    Google Scholar 

  35. Collins, G. E., Abstract in A. Visconti (ed.), Proc. 4th Int. Coll. on Adv. Comput. Meth. in Theor. Phys., St. Maximin, March 1977.

    Google Scholar 

  36. Collins, G. E., in S. R. Petrick (ed.), Proc. Second Symp. on Symbolic and Algebraic Manipulations, Los Angeles, 1971, A.C.M., 1971.

    Google Scholar 

  37. Loos, R., ACM-SIGSAM Bulletin 10, 15 (1976).

    Article  Google Scholar 

  38. Lautrup, B. E., Phys. Lett. 69B, 109 (1977).

    Article  MathSciNet  Google Scholar 

  39. Campbell, J. A., and Hearn, A. C., J. Comp. Phys. 5, 280 (1970).

    Article  ADS  MATH  Google Scholar 

  40. Sasaki, T., J. Comp. Phys. 22, 189 (1976).

    Article  ADS  Google Scholar 

  41. Cvitanovic, P., Lautrup B. E., and Pearson, R. B., Princeton preprint, April 1978

    Google Scholar 

  42. Calmet, J., ACM-SIGSAM Bulletin 8, 74 (1974).

    Article  Google Scholar 

  43. Cvitanovic, P., and Kinoshita, T., Phys. Rev. D10, 3978, 3991 (1974).

    ADS  Google Scholar 

  44. Chisholm, J. S. R., Nuovo Cimento, 30, 426 (1963); and Proc. Camb. Phil. Soc. 48, 2, 300 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  45. Kahane, J., J. Math. Phys. 9, 1732 (1968).

    Article  ADS  Google Scholar 

  46. Hearn, A. C., in A. Visconti (ed.), Proc. 2nd Int. Coll. on Adv. Comp. Meth. in Theor. Phys., Marseille, June 1971.

    Google Scholar 

  47. Gastmans, R., Van Proyen, A., and Verbaeten, P., to appear in Comp. Phys. Comm.

    Google Scholar 

  48. Calmet, J., PhD. Thesis, Aix-Marseille University, 1970, unpublished.

    Google Scholar 

  49. Calmet, J., Comp. Phys. Comm. 4, 199 (1972).

    Article  ADS  Google Scholar 

  50. Cvitanovic, P., in A. Visconti (ed.), Proc. 3rd Int. Coll. on Adv. Comp. Meth. in Theor. Phys., Marseille, June 1973.

    Google Scholar 

  51. Erickson, G. W., Phys. Rev. Lett. 27, 780 (1971).

    Article  ADS  Google Scholar 

  52. Mohr, P. J., Phys. Rev. Lett. 34, 1050 (1975).

    Article  ADS  Google Scholar 

  53. Lundeen, S. R., and Lipkin, F. M., Phys. Rev. Lett. 34, 1368 (1975).

    Article  ADS  Google Scholar 

  54. Andrews, D. S., and Newton, G., Phys. Rev. Lett. 37, 1254 (1976).

    Article  ADS  Google Scholar 

  55. Levine, M. J., and Roskies, R., Phys. Rev. D14, 2191 (1976).

    ADS  Google Scholar 

  56. Brodsky, S. J., and Kinoshita, T., Phys. Rev. D3, 356 (1971).

    ADS  Google Scholar 

  57. Calmet, J., and Perrottet, M., Phys. Rev. D3, 2101 (1971).

    Google Scholar 

  58. Aldins, J., et al, Phys. Rev. D1, 2378 (1970).

    ADS  Google Scholar 

  59. Kinoshita, T., in H. Bacry (ed.), Proc. of the Coll. ‘Regards sur la Phys. Théor d- Aujourd’ hui’, Marseille, July 1979. Editions du CNRS (to be published in 1980 ).

    Google Scholar 

  60. Van Dyck, Jr., R. S., Schwinberg, P. B., and Dehmelt, H. G., Phys. Rev. Lett. 38, 310 (1977).

    Article  ADS  Google Scholar 

  61. Kinoshita, T., and Lindquist, W. B., preprints CLNS-423,424,426. Cornell Univ., 1979.

    Google Scholar 

  62. Calmet, J., Narison, S., Perrottet, M., and de Rafael, E; Rev. Mod. Phys. 49, 21 (1977).

    Article  ADS  Google Scholar 

  63. Gentleman, W. M ., Proc. of the ACM National Conference, Boston 1972, p. 840, ACM, 1972.

    Google Scholar 

  64. Fullerton, L. W., and Rinker Jr., G. A., Phys. Rev., A13, 1283 (1976).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute für Informatik I, Universität Karlsruhe, Marseille, France

    J. Calmet & A. Visconti

  2. University of Aix-Marseille I and CPT II, Marseille, France

    J. Calmet & A. Visconti

Authors
  1. J. Calmet
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Visconti
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

E. Tirapegui

Rights and permissions

Reprints and permissions

Copyright information

© 1981 D. Reidel Publishing Company

About this chapter

Cite this chapter

Calmet, J., Visconti, A. (1981). Computing Methods in Quantum Electrodynamics. In: Tirapegui, E. (eds) Field Theory, Quantization and Statistical Physics. Mathematical Physics and Applied Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8368-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-8368-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8370-0

  • Online ISBN: 978-94-009-8368-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation