Summation and renormalization of bubble graphs to all orders

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 4 figures

Scientific paper

10.1016/S0370-2693(00)01314-9

We introduce the 2PPI expansion which sums the bubble graphs to all orders.
We show that this expansion can be renormalised with the usual counterterms in
a mass independent scheme. We discuss its application to the O(N) linear sigma
model.

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