Decomposition of time ordered products and path ordered exponentials
Apr, 1998Citations per year
Abstract:
We present a decomposition formula for , an integral of time-ordered products of operators, in terms of sums of products of the more primitive quantities , which are the integrals of time-ordered commutators of the same operators. The resulting factorization enables a summation over 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 . The Campbell-Baker-Hausdorff formula and the nonabelian eikonal formula obtained previously are both special cases of this result.Note:
- 31 pages, Revtex with two postscript figures
- quantization
- Hamiltonian formalism
- n-point function
- operator: algebra
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