MS-TP1-96-14 The renormalized φ4 4-trajectory by

MS-TP1-95-06 The renormalized φ4 4-trajectory by perturbation theory in the running coupling

MS-TP1-95-06 The renormalized φ 4 4-trajectory by perturbation theory in the running coupling

Φ4 Theory Is Trivial

Perturbative study of many quantum field models has lead to many impressive results: beta functions for QED and for the Φ4 theory are known up to the fifth order whereas that of QCD up to the fourth order [1]-[7]. These studies however are based on the expansion in the small coupling constant such that the behavior at large couplings is completely missed. Although the possibility of a perturbat...

A remark on the numerical validation of triviality for scalar field theories using high-temperature expansions

We suggest a simple modification of the usual procedures of analysis for the high-temperature (strong-coupling or hopping-parameter) expansions of the renormalized four-point coupling constant in the ~ φ4 lattice scalar field theory. As a result we can more convincingly validate numerically the triviality of the continuum limit taken from the high temperature phase. There has been a steady accu...

UCSD/PTH 95-20 The Shape of the Renormalized Trajectory in the Two-dimensional O(N) Non-linear Sigma Model

The renormalized trajectory in themulti-dimensional coupling parameter space of the two-dimensional O(3) non-linear sigma model is determined numerically under δ-function block spin transformations using two different Monte Carlo renormalization group techniques. The renormalized trajectory is compared with the straight line of the fixed point trajectory (fixed point action) which leaves the as...