Decomposition of Time-Ordered Products and Path-Ordered Exponentials

Details Decomposition of Time-Ordered Products and Path-Ordered Exponentials Decomposition of Time-Ordered Products and Path-Ordered Exponentials

1998-04-28

arxiv.org/abs/hep-th/9804181v1

J.Math.Phys. 39 (1998) 5543-5558

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Revtex with two postscript figures

Scientific paper

We present a decomposition formula for $U_n$, an integral of time-ordered products of operators, in terms of sums of products of the more primitive quantities $C_m$, which are the integrals of time-ordered commutators of the same operators. The resulting factorization enables a summation over $n$ to be carried out to yield an explicit expression for the time-ordered exponential, an expression which turns out to be an exponential function of $C_m$. The Campbell-Baker-Hausdorff formula and the nonabelian eikonal formula obtained previously are both special cases of this result.

Affiliated with

Also associated with

No associations

Rating

Decomposition of Time-Ordered Products and Path-Ordered Exponentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Decomposition of Time-Ordered Products and Path-Ordered Exponentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Decomposition of Time-Ordered Products and Path-Ordered Exponentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-680248