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Phys. Rev. D 35, 2009–2012 (1987)

What is the effective potential?

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Seiji Norimatsu and Kunio Yamamoto
Institute of Physics, College of General Education, Osaka University, Toyonaka, Osaka 560, Japan

Azuma Tanaka
Faculty of General Education, Osaka Institute of Technology, Osaka 535, Japan

Received 4 August 1986; published in the issue dated 15 March 1987

There is some confusion about what the effective potential is. To remove this confusion, boundary conditions in the path-integral formulation are discussed. For a system with several phases, there are several kinds of physically acceptable boundary conditions. The choice of condition determines the phase. Therefore without specifying the phase we cannot discuss the generating functionals. By taking this fact into account, the meanings of the effective potential and its convex property are clarified. The confusion is removed and the consistent interpretation is obtained.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.35.2009
DOI:
10.1103/PhysRevD.35.2009
PACS:
11.30.Qc, 11.10.Ef