Abstract
We establish a useful identity for intertwining a creation or annihilation operator with the heat kernel of a self-interacting bosonic field theory.
Similar content being viewed by others
References
Buchholz, D., Wichmann, E.H.: Causal independence and the energy-level density of states in local quantum field theory. Commun. Math. Phys. 106, 321–344 (1986)
Glimm, J., Jaffe, A.: Quantum Physics, Second Edition, Berlin-Heidelberg-New York: Springer Verlag, 1987, and Selected Papers, Volumes I and II, Basel-Boston: Birkhäuser Boston, 1985
Glimm, J., Jaffe, A.: The λϕ4 2 quantum field theory without cut-offs, IV. Perturbations of the Hamiltonian. J. Math. Phys. 13, 1568–1584 (1972)
Glimm, J., Jaffe, A., Spencer, T.: The Wightman axioms and particle structure in the weakly coupled P(ϕ)2 quantum field model. Ann. of Math. 100, 585–632 (1974)
A. Jaffe, Constructive quantum field theory. In: Mathematical Physics, edited by T. Kibble, Singapore: World Scientific, 2000
Author information
Authors and Affiliations
Additional information
Communicated by J.Z. Imbrie
Rights and permissions
About this article
Cite this article
Jaffe, A., Jäkel, C. An Exchange Identity for Non-linear Fields. Commun. Math. Phys. 264, 283–289 (2006). https://doi.org/10.1007/s00220-005-1477-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00220-005-1477-4