Decomposition of Time-Ordered Products and Path-Ordered Exponentials
Lam, C. S.
arXiv, 9804181 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-04-28
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{9804181,
     author = {Lam, C. S.},
     title = {Decomposition of Time-Ordered Products and Path-Ordered Exponentials},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9804181}
}

Lam, C. S. Decomposition of Time-Ordered Products and Path-Ordered Exponentials. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804181/