Effective potential, renormalization, and nontrivial ultraviolet fixed point in D -dimensional four-fermion theories (2 lt D lt 4) to order 1/ N in 1/ N expansion

Journal Article · Mon Jun 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.4610· OSTI ID:7106601

He, H ^[1]; Kuang, Y; Wang, Q; Yi, Y ^[2]

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1. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Department of Physics, Tsinghua University, Beijing 100084 (China)
2. 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)

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{lt}{ital D}{lt}4 is presented up to next-to-the-leading order in the 1/{ital N} expansion. It is shown that the order-1/{ital N} correction definitely increases the anomalous dimension of the composite operator {bar {Psi}}{Psi} 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.

• OSTI ID: 7106601
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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