Skip to main content
SpringerLink
Log in

Equivalence of Many-Photon Green's Functions in the Duffin–Kemmer–Petiau and Klein–Gordon–Fock Statistical Quantum Field Theories

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

Using the functional integral formalism for the statistical generating functional in the statistical (finite temperature) quantum field theory, we prove the equivalence of many-photon Green's functions in the Duffin–Kemmer–Petiau and Klein–Gordon–Fock statistical quantum field theories. As an illustration, we calculate the one-loop polarization operators in both theories and demonstrate their coincidence.

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. J. Matzubara, Progr. Theoret. Phys., 9, 550 (1953).

    Google Scholar 

  2. E. S. Fradkin, Dokl. Akad. Nauk SSSR, 98, 47 (1954); 100, 897 (1955).

    Google Scholar 

  3. E. S. Fradkin, Tr. Fiz. Inst. Akad. Nauk SSSR, 29, 7 (1965).

    Google Scholar 

  4. J. I. Kapusta, Finite Temperature Field Theory, Cambridge Univ. Press, Cambridge (1989).

    Google Scholar 

  5. M. Le Bellac, Thermal Field Theory, Cambridge Univ. Press, Cambridge (2000).

    Google Scholar 

  6. R. Casana, V. Ya. Fainberg, B. M. Pimentel, and J. S. Valverde, Phys. Lett. A, 316, 33 (2003).

    Google Scholar 

  7. C. W. Bernard, Phys. Rev. D, 9, 3312 (1974).

    Google Scholar 

  8. B. M. Pimentel and V. Ya. Fainberg, Theor. Math. Phys., 124, 1234 (2000).

    Google Scholar 

  9. V. Ya. Fainberg and B. M. Pimentel, Braz. J. P hys., 30, 275 (2000).

    Google Scholar 

  10. V. Ya. Fainberg and B. M. Pimentel, Phys. Lett. A, 271, 16 (2000).

    Google Scholar 

  11. V. Ya. Fainberg, B. M. Pimentel, and J. S. Valverde, “Dispersion method in DKP theory,” in: Quantization, Gauge Theories, and Strings (A. Semikhatov, M. Vasiliev, and V. Zaikin, eds.), Vol. 2, Scientific World, Moscow (2001), p. 79.

    Google Scholar 

  12. H. J. Rothe, Lattice Gauge Theories: An Introduction, World Scientific, Singapore (1996).

    Google Scholar 

Download references

Authors
  1. J. S. Valverde
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. M. Pimentel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. Ya. Fainberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Valverde, J.S., Pimentel, B.M. & Fainberg, V.Y. Equivalence of Many-Photon Green's Functions in the Duffin–Kemmer–Petiau and Klein–Gordon–Fock Statistical Quantum Field Theories. Theoretical and Mathematical Physics 140, 931–938 (2004). https://doi.org/10.1023/B:TAMP.0000033030.16839.ba

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:TAMP.0000033030.16839.ba

Search

Navigation