Skip to main content
Log in

A Jost-Schroer theorem for string fields

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

It is shown that the truncated Wightman functions of three or more string-localized fields vanish if they are solutions of a Klein-Gordon equation in each variable. As an application it is shown that a string field is a free field if its two-point functions are those of a free field. Another application to perturbation theory is pointed out.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Mandelstam, S.: Quantum electrodynamics without potentials. Ann. Phys. (NY)19, 1 (1962)

    Google Scholar 

  2. Buchholz, D., Fredenhagen, K.: Locality and the structure of particle states. Commun. Math. Phys.84, 1 (1982)

    Google Scholar 

  3. Fredenhagen, K.: On the existence of antiparticles. Commun. Math. Phys.79, 141 (1981)

    Google Scholar 

  4. Buchholz, D.: The physical state space of QED. Commun. Math. Phys.85, 49 (1982)

    Google Scholar 

  5. Sarker, A.Q.: On the Green's function of gauge-independent theory of quantum electrodynamics. Ann. Phys. (NY)24, 19 (1963)

    Google Scholar 

  6. Bialynicki-Birula, I.: Bull. Acad. Polon. Sci.11, 135 (1963)

    Google Scholar 

  7. Mandelstam, S.: Feynman Rules for electromagnetic and Yang-Mills fields from the gauge-independent field theoretic formalism. Phys. Rev.175, 1580 (1968)

    Google Scholar 

  8. Streater, R.F., Wightman, A.S.: PCT, spin & statistics, and all that. New York: Benjamin 1964

    Google Scholar 

  9. Jost, R.: The general theory of quantized fields. Providence, RI: American Mathematical Society 1965

    Google Scholar 

  10. Jost, R.: Lectures on field theory and the many-body problem. Caianiello, E.R. (ed.). New York: Academic Press 1961

    Google Scholar 

  11. Federbush, P.G., Johnson, K.A.: Uniqueness property of the twofold vacuum expectation value. Phys. Rev.120, 1926 (1960)

    Google Scholar 

  12. Pohlmeyer, K.: The Jost-Schroer theorem for zero-mass fields. Commun. Math. Phys.12, 204 (1969)

    Google Scholar 

  13. Streater, R.F., Wightman, A.S.: Loc. cit., Sect. 2–3

  14. Streater, R.F., Wightman, A.S.: Loc. cit., Sect. 2–5

  15. Bochner, S., Martin, W.T.: Several complex variables, Chap. IV, Sect. 2. Princeton, NJ: Princeton University Press 1948

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by K. Osterwalder

Rights and permissions

Reprints and permissions

About this article

Cite this article

Steinmann, O. A Jost-Schroer theorem for string fields. Commun.Math. Phys. 87, 259–264 (1982). https://doi.org/10.1007/BF01218564

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01218564

Keywords

Navigation