Rapidly Converging Truncation Scheme of the Exact Renormalization Group | Zendy

Kenichi Aoki | Zendy; K. Morikawa | Zendy; Wataru Souma | Zendy; J.-I. Sumi | Zendy; H. Terao | Zendy

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Rapidly Converging Truncation Scheme of the Exact Renormalization Group

Author(s) -

Kenichi Aoki,

K. Morikawa,

Wataru Souma,

J.-I. Sumi,

H. Terao

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.99.451

Subject(s) - truncation (statistics) , physics , scalar (mathematics) , renormalization group , truncation error , mathematical physics , scalar field theory , renormalization , scalar field , order (exchange) , limit (mathematics) , convergence (economics) , quantum electrodynamics , quantum mechanics , mathematics , mathematical analysis , quantum gravity , quantum , statistics , geometry , finance , economics , economic growth

The truncation scheme dependence of the exact renormalization group equationsis investigated for scalar field theories in three dimensions. The exponentsare numerically estimated to the next-to-leading order of the derivativeexpansion. It is found that the convergence property in various truncations inthe number of powers of the fields is remarkably improved if the expansion ismade around the minimum of the effective potential. It is also shown that thistruncation scheme is suitable for evaluation of infrared effective potentials.The physical interpretation of this improvement is discussed by consideringO(N) symmetric scalar theories in the large-N limit.Comment: 17 pages including 13 figures, LaTeX, to appear in Prog. Theor. Phys., references adde

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