Skip to main content
SpringerLink
Log in

A quantum model of a real scalar field

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

A quantum model of a real scalar field with local operator gauge symmetry is discussed. In the localized theory, in order to keep the local operator gauge symmetry, an operator gauge potential BB μ, is needed. By combining the constraint of operator gauge potentialB μ, and the microscopic causality theorem, the usual canonical quantization condition of a real scalar field is obtained. Therefore, a quantum model of a real scalar field without the usual procedure of quantizing a related classical model can be directly constructed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Arodz, H., Quantum models without canonical quantization,Acta Phys. Pol., 1993, B24:951.

    MathSciNet  Google Scholar 

  2. Adler, S. L., Generalized quantum dynamics,Nucl. Phys., 1994, B415:195.

    Article  Google Scholar 

  3. Adler, S. L.,Quaternionic Quantum Mechanics and Quantum Fields, Oxford: Oxford University Press, 1994.

    Google Scholar 

  4. Mackey, G. W., Weyl’s program and modem physics (1987), inDifferential Geometric Methods in Theoretical Physics, (eds. Bleuler, V., Werner, M.), Bordercht: Kluwer Acad., 1988.

    Google Scholar 

  5. Mackey, G. W., The axiomatics of particle interactions,Int. J. Theore. Phys., 1993, 32(10): 1643.

    Article  MATH  MathSciNet  Google Scholar 

  6. Adler, S. L., Algebraic chromodynamics,Phys. Lett., 1979, B86:203.

    Google Scholar 

  7. Adler, S. L., Scalar-field algebraic chromodynamics,Phys. Rev., 1980, D21:550.

    Google Scholar 

  8. Adler, S. L., Quaternionic chromodynamics as a theory of composite quarks and leptons,Phys. Rev., 1980, D21:2903.

    Google Scholar 

  9. Wu Ning, Ruan Tunan, A new quantum mechanical Model,Science in China (in Chinese), Ser. A, 1996, 26(9):832.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CCAST (World Lab), P.0. Box 8730, 100080, Beijing, China

    Ning Wu & Tunan Ruan

  2. Department of Modern Physics, University of Science and Technology of China, 230026, Hefei, China

    Ning Wu & Tunan Ruan

Authors
  1. Ning Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tunan Ruan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported in part by T.D. Lee’s NNSF Grant, National Natural Science Foundation of China, Foundation of Ph. D. Directing Programme of Chinese Universities and the Chinese Academy of Sciences.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, N., Ruan, T. A quantum model of a real scalar field. Sci. China Ser. A-Math. 40, 633–637 (1997). https://doi.org/10.1007/BF02876067

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02876067

Keywords

Search

Navigation