Double expansion in asymptotically free theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, written in LaTeX, figures generated using FEYNMANN are commented and can be obtained upon request.

Scientific paper

10.1016/0370-2693(95)00376-V

I propose an approximation scheme for asymptotically free field theories combining both weak coupling and strong coupling series. The weak coupling expansion is used to integrate the high frequency modes and the resulting low energy effective theory is solved using the strong coupling expansion. In some models there exists an intermediate scale at which both expansions make sense. The method is tested on few low dimensional models for which an exact solution is known.

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