Time-Ordered Products and Exponentials
arXiv:hep-th/9805011
Abstract
I discuss a formula decomposing the integral of time-ordered products of operators into sums of products of integrals of time-ordered commutators. The resulting factorization enables summation of an infinite series to be carried out to yield an explicit formula for the time-ordered exponentials. The Campbell-Baker-Hausdorff formula and the nonabelian eikonal formula obtained previously are both special cases of this result.
7 pages with 2 postscript figures composed in Latex. Contribution to the Second Jagna International Workshop on Mathematical Methods of Quantum Physics, January 4-8, 1998, at Jagna, Bohol, Philippines, in honour of Prof. Hiroshi Ezawa on the occasion of his 65th birthday