Construction of operator product expansion coefficients via consistency conditions

Details Construction of operator product expansion coefficients via consistency conditions Construction of operator product expansion coefficients via consistency conditions

2009-06-30

arxiv.org/abs/0906.5468v1

Physics

Mathematical Physics

134 pages, 6 figures, PDFLaTex, diploma thesis (University of Goettingen)

Scientific paper

In this thesis an iterative scheme for the construction of operator product expansion (OPE) coefficients is applied to determine low order coefficients in perturbation theory for a specific toy model. We use the approach to quantum field theory proposed by S. Hollands [arXiv:0802.2198], which is centered around the OPE and a number of axioms on the corresponding OPE coefficients. This framework is reviewed in the first part of the thesis. In the second part we apply an algorithm for the perturbative construction of OPE coefficients to a toy model: Euclidean $\varphi^6$-theory in 3-dimensions. Using a recently found formulation in terms of vertex operators and a diagrammatic notation in terms of trees [arXiv:0906.5313v1], coefficients up to second order are constructed, some general features of coefficients at arbitrary order are presented and an exemplary comparison to the corresponding customary method of computation is given.

Affiliated with

Also associated with

No associations

Rating

Construction of operator product expansion coefficients via consistency conditions 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 Construction of operator product expansion coefficients via consistency conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Construction of operator product expansion coefficients via consistency conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440668