Phys. Rev. D 45, 4610 - 4620 (1992)Effective potential, renormalization, and nontrivial ultraviolet fixed point in D-dimensional four-fermion theories (2<D<4) to order 1 / N in 1 / N expansion |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1984: |
Hong-Jian He
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China
Department of Physics, Tsinghua University, Beijing 100084, China
Yu-Ping Kuang, Qing Wang, and Yu-Ping Yi
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China
Department of Physics, Tsinghua University, Beijing 100084, China
Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
Received 22 April 1991
A systematic calculation of the effective potential, renormalization, the nontrivial ultraviolet fixed point, and dynamical symmetry breaking in four-fermion theories in space-time dimension 2<D<4 is presented up to next-to-the-leading order in the 1 / N expansion. It is shown that the order-1 / N correction definitely increases the anomalous dimension of the composite operator Ψ̅ Ψ at the fixed point. Some general conclusions on the relation between nontrivial fixed points and the phase transitions in dynamical symmetry breaking are also given.
©1992 The American Physical Society
URL: http://link.aps.org/abstract/PRD/v45/p4610
DOI: 10.1103/PhysRevD.45.4610
PACS: 11.10.Gh, 11.15.Pg
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