Rapidly Converging Truncation Scheme of the Exact Renormalization Group

Details Rapidly Converging Truncation Scheme of the Exact Renormalization Group Rapidly Converging Truncation Scheme of the Exact Renormalization Group

1998-03-06

arxiv.org/abs/hep-th/9803056v2

Prog.Theor.Phys. 99 (1998) 451-466

Physics

High Energy Physics

High Energy Physics - Theory

17 pages including 13 figures, LaTeX, to appear in Prog. Theor. Phys., references added

Scientific paper

10.1143/PTP.99.451

The truncation scheme dependence of the exact renormalization group equations is investigated for scalar field theories in three dimensions. The exponents are numerically estimated to the next-to-leading order of the derivative expansion. It is found that the convergence property in various truncations in the number of powers of the fields is remarkably improved if the expansion is made around the minimum of the effective potential. It is also shown that this truncation scheme is suitable for evaluation of infrared effective potentials. The physical interpretation of this improvement is discussed by considering O(N) symmetric scalar theories in the large-N limit.

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