A new start for local composite operators

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages

Scientific paper

10.1103/PhysRevD.64.085006

We present a formalism for local composite operators. The corresponding effective potential is unique, multiplicatively renormalizable, it is the sum of 1PI diagrams and can be interpreted as an energy-density. First we apply this method to $\lambda \Phi^4$ theory where we check renormalizability up to three loops and secondly to the Coleman-Weinberg model where the gauge independence of the effective potential for the local composite operator $\phi\phi^*$ is explicitely checked up to two loops.

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