Skip to main content
Log in

Ward identities for non-commutative geometry

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

Abstract

We interpret the cocycle condition in quantum field theory as a set of integrated Ward identities for non-commutative geometry.

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

  • [C] Connes, A.: Entire cyclic cohomology of banach algebras and characters of θ-summable Fredholm modules. K-Theory1, 519–548 (1988)

    Google Scholar 

  • [EFJL] Ernst, K., Feng, P., Jaffe, A., Lesniewski, A.: Quantum K-theory. II. Homotopy invariance of the Chern character. J. Funct. Anal. (to appear)

  • [JLO1] Jaffe, A., Lesniewski, A., Osterwalder, K.: QuantumK-theory. I. The Chern character. Commun. Math. Phys.118 1–14 (1988)

    Google Scholar 

  • [JLO2] Jaffe, A., Lesniewski, A., Osterwalder, K.: On super-KMS functionals and entire cyclic cohomology. K-theory2, 675–682 (1989)

    Google Scholar 

  • [JLWis] Jaffe, A., Lesniewski, A., Wisniowski, M.: Deformation of super-KMS functionals. Commun. Math. Phys.121, 527–540 (1989)

    Google Scholar 

  • [K] Kastler, D.: Cyclic cocycles from graded KMS functionals. Commun. Math. Phys.121, 345–350 (1989)

    Google Scholar 

  • [Q] Quillen, D.: Algebra cochains and cyclic cohomology. Publications Mathématiques I.H.E.S.68, 139–174 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by A. Jaffe

Dedicated to Res Jost and Arthur Wightman

Supported in part by the National Science Foundation under Grants DMS/PHY 88-16214 and INT 87-22044

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jaffe, A., Osterwalder, K. Ward identities for non-commutative geometry. Commun.Math. Phys. 132, 119–130 (1990). https://doi.org/10.1007/BF02278002

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02278002

Keywords

Navigation