Bogoliubov causality condition
Bogoliubov causality condition is a causality condition for scattering matrix (S-matrix) in axiomatic quantum field theory. The condition was introduced in axiomatic quantum field theory by Nikolay Bogolyubov in 1955.
Formulation
In axiomatic quantum theory, S-matrix is considered as a functional of a function defined on the Minkowski space
. This function characterizes the intensity of the interaction in different space-time regions: the value
at a point
corresponds to the absence of interaction in
,
corresponds to the most intense interaction, and values between 0 and 1 correspond to incomplete interaction at
. For two points
, the notation
means that
causally precedes
.
Let
be scattering matrix as a functional of
. The Bogoliubov causality condition in terms of variational derivatives has the form:


References
- N. N. Bogoliubov, A. A. Logunov, I. T. Todorov (1975): Introduction to Axiomatic Quantum Field Theory. Reading, Mass.: W. A. Benjamin, Advanced Book Program.
- N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, I. T. Todorov (1990): General Principles of Quantum Field Theory. Kluwer Academic Publishers, Dordrecht [Holland]; Boston. ISBN 0-7923-0540-X. ISBN 978-0-7923-0540-8.
This article is issued from Wikipedia - version of the 3/19/2013. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.