Perturbative Results Without Diagrams

Details Perturbative Results Without Diagrams Perturbative Results Without Diagrams

2007-11-26

arxiv.org/abs/0711.3989v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 2 figures, WS style (included), to be published in Proceedings of "Path Integrals - New Trends and Perspectives", Dre

Scientific paper

Higher-order perturbative calculations in Quantum (Field) Theory suffer from the factorial increase of the number of individual diagrams. Here I describe an approach which evaluates the total contribution numerically for finite temperature from the cumulant expansion of the corresponding observable followed by an extrapolation to zero temperature. This method (originally proposed by Bogolyubov and Plechko) is applied to the calculation of higher-order terms for the ground-state energy of the polaron. Using state-of-the-art multidimensional integration routines 2 new coefficients are obtained corresponding to a 4- and 5-loop calculation.

Affiliated with

Also associated with

No associations

Rating

Perturbative Results Without Diagrams 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 Perturbative Results Without Diagrams, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbative Results Without Diagrams will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170667