Skip to main content

Mathematical structure in quantum field theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1031)

Keywords

  • Gauge Theory
  • Gauge Group
  • Elementary Particle Physic
  • Classical Field Theory
  • Gauge Sheaf

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. T.T. Wu, C.N. Yang, Concept of nonintegrable phase factors and global formulation of gauge fields, Phys. Rev. D 12, 3845–3857 (1975).

    CrossRef  ADS  MathSciNet  Google Scholar 

  2. R. Haag, Discussion des "axiomes" et des propriétés asymptotiques d' une théorie des champs locale avec particules composées, Colloques Internationaux du CNRS LXXV Lille 1957, CNRS, Paris 1959.

    Google Scholar 

  3. H. Weyl, Eine neue Erweiterung der Relativitätstheorie, Ann. d. Physik 59, 101–133 (1919).

    CrossRef  ADS  MATH  Google Scholar 

  4. F. London, Quantenmechanische Deutung der Theorie von Weyl, Z. f. Physik 42, 375–389 (1927).

    CrossRef  ADS  MATH  Google Scholar 

  5. H. Weyl, Elektron und Gravitation I, Z. f. Physik 56, 330–352 (1929).

    CrossRef  ADS  MATH  Google Scholar 

  6. Y. Aharanov, D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory, Phys. Rev. 115, 485–491 (1959).

    CrossRef  ADS  MathSciNet  MATH  Google Scholar 

  7. S. Doplicher, R. Haag, J.E. Roberts, Fields, Observables and Gauge Transformations I, Commun. Math. Phys. 13, 1–23 (1969).

    CrossRef  ADS  MathSciNet  MATH  Google Scholar 

  8. F. Strocchi, A.S. Wightman, Proof of the Charge Superselection Rule in Local Relativistic Quantum Field Theory, J. Math. Phys. 15, 2198–2224 (1974).

    CrossRef  ADS  MathSciNet  Google Scholar 

  9. A.L. Carey, J.M. Gaffney, C.A. Hurst, A C*-algebra Formulation of Gauge Transformations of the Second Kind for the Electromagnetic Field, Rep. Math. Phys. 13, 419–436 (1978).

    CrossRef  ADS  MathSciNet  Google Scholar 

  10. J.E. Roberts, New Light on the Mathematical Structure of Algebraic Field Theory, Proc. Symp. Pure Math. 38(2), 523–550 (1982).

    CrossRef  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Roberts, J.E. (1983). Mathematical structure in quantum field theory. In: Blanchard, P., Streit, L. (eds) Dynamics and Processes. Lecture Notes in Mathematics, vol 1031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072112

Download citation

  • DOI: https://doi.org/10.1007/BFb0072112

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12705-5

  • Online ISBN: 978-3-540-38691-9

  • eBook Packages: Springer Book Archive