Constructive $φ^4$ field theory without tears

Details Constructive $φ^4$ field theory without tears Constructive $φ^4$ field theory without tears

2007-06-18

arxiv.org/abs/0706.2457v1

Annales Henri Poincare 9:403-424,2008

Physics

Mathematical Physics

22 pages, 10 figures

Scientific paper

10.1007/s00023-008-0360-1

We propose to treat the $\phi^4$ Euclidean theory constructively in a simpler
way. Our method, based on a new kind of "loop vertex expansion", no longer
requires the painful intermediate tool of cluster and Mayer expansions.

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