The Hierarchical ϕ4 - Trajectory by Perturbation Theory in a Running Coupling and its Logarithm
J. Rolf, C. Wieczerkowski
Abstract
We compute the hierarchical ϕ4-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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