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Summation and renormalization of bubble graphs to all orders

2000/09/15 by H. Verschelde, Henri Verschelde · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(00)01314-9

published as Phys.Lett. B497 (2001) 165-171 · 14 pages, 4 figures

arxiv created 2000/09/15 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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