The Hierarchical $φ^4$ - Trajectory by Perturbation Theory in a Running Coupling and its Logarithm

Details The Hierarchical $φ^4$ - Trajectory by Perturbation Theory in a Running Coupling and its Logarithm The Hierarchical $φ^4$ - Trajectory by Perturbation Theory in a Running Coupling and its Logarithm

1995-08-31

arxiv.org/abs/hep-lat/9508031v2

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 9 pictures included, uuencoded compressed postscript file

Scientific paper

We compute the hierarchical $\phi^4$-trajectory in terms of perturbation theory in a running coupling. In the three dimensional case we resolve a singularity due to resonance of power counting factors in terms of logarithms of the running coupling. Numerical data is presented and the limits of validity explored. We also compute moving eigenvalues and eigenvectors on the trajectory as well as their fusion rules.

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