Convergence of derivative expansions in scalar field theory

Details Convergence of derivative expansions in scalar field theory Convergence of derivative expansions in scalar field theory

2001-02-06

arxiv.org/abs/hep-th/0102027v1

Int.J.Mod.Phys. A16 (2001) 2095-2100

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 3 figures, presented at the 2nd Conference on the Exact RG, Rome 2000

Scientific paper

10.1142/S0217751X01004761

The convergence of the derivative expansion of the exact renormalisation group is investigated via the computation of the beta function of massless scalar lambda phi^4 theory. The derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. Convergence of the derivative expansion of the Legendre flow equation is trivial at one loop, but also can occur at two loops and in particular converges for an exponential cutoff.

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