Skip to main content
Log in

Sheaf models and massless fields

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript


We give an account of the logical and model theoretic aspects of sheaf theory and describe how this formalism leads to a new interpretation of the role of sheaves in the twistor description of massless fields.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others


  • Beth, E. (1947). Semantical considerations on intuitionistic logic.Indag. Math.,9, 572–577.

    Google Scholar 

  • Chang, C., Keisler, H. (1973).Model Theory. North-Holland, Amsterdam.

    Google Scholar 

  • Dummett, M. (1977).Elements of Intuitionism. Oxford University Press, New York.

    Google Scholar 

  • Eastwood, M., Penrose, R., and Wells, R. O., Jr. (1981). Cohomology and massless fields,Communications in Mathematical Physics,78, 305–351.

    Google Scholar 

  • Fourman, M. P., and Scott, D. S. (1979).Sheaves and Logic, Springer Lecture Notes in Mathematics, Vol. 753, pp. 302–401. Springer, New York.

    Google Scholar 

  • Johnstone, P. T. (1977).Topos Theory. Academic Press, New York.

    Google Scholar 

  • Jozsa, R. (1981). Models in categories and twistor theory, D. Phil. thesis, Oxford University (unpublished).

  • Kripke, S. (1965). Semantical analysis of intuitionistic logic I, inFormal Systems and Recursive Functions, J. Crossley, and M. Dummett, eds. pp. 92–130. North-Holland, Amsterdam.

    Google Scholar 

  • Lawvere, F. W. (1975). Continuously variable sets: algebraic geometry = geometric logic. inBristol Logic Colloquium '73, J. Shepherdson and H. Rose, eds. pp. 135–156. North-Holland, Amsterdam.

    Google Scholar 

  • Lawvere, F. W. (1976). Variable quantities and variable structures in topoi, inAlgebra, Topology and Category Theory — A Collection of Papers in Honour of S. Eilenberg, A. Heller and M. Tierney, eds. pp. 101–131. Academic Press, New York.

    Google Scholar 

  • MaLane, S., and Birkhoff, G. (1967).Algebra. MacMillan, New York.

    Google Scholar 

  • Makkai, M., and Reyes, G. E. (1979).First Order Categorical Logic, Springer Lecture Notes in Mathematics, Vol. 611. Springer, New York.

    Google Scholar 

  • Mulvey, C. (1974). Intuitionistic algebra and representations of rings,Memoirs of the American Mathematics Society,148, 3–57.

    Google Scholar 

  • Penrose, R. (1968). The structure of spacetime, inBattelle Rencontres 1967, pp. 121–235. Benjamin, New York.

    Google Scholar 

  • Penrose, R., and Rindler, W. (to appear).Spinors and Spacetime Structure. Cambridge, Cambridge University Press, Cambridge.

  • Rousseau, C. (1979).Topos Theory and Complex Analysis, in Springer Lecture Notes in Mathematics, Vol. 753, pp. 623–659. Springer, New York.

    Google Scholar 

  • Wells, R. O., Jr. (1979). Complex manifolds in mathematical physics,Bulletin of the American Mathematics Society (new series),1, 296–336.

    Google Scholar 

Download references

Author information

Authors and Affiliations


Additional information

Most of this work was carried out while the author was Junior Lecturer in Mathematics, University of Oxford, United Kingdom.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jozsa, R. Sheaf models and massless fields. Int J Theor Phys 23, 67–97 (1984).

Download citation

  • Received:

  • Issue Date:

  • DOI: