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The Auxiliary Mass Method beyond the Local Potential Approximation
Author(s) -
K. Ogure,
Joe Sato
Publication year - 2001
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.106.131
Subject(s) - physics , series (stratigraphy) , action (physics) , partial differential equation , differential equation , first order partial differential equation , mathematics , quantum electrodynamics , mathematical analysis , mathematical physics , quantum mechanics , paleontology , biology
We show that the evolution equation of the effective potential in theauxiliary mass method corresponds to a leading approximation of a certainseries. This series is derived from an evolution equation of an effectiveaction using a derivative expansion. We derived an expression of thenext-to-leading approximation of the evolution equation, which is asimultaneous partial differential equation.Comment: 23 pages, 3 EPS figure

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