Consistency of the 1/n Expansion for Three-Dimensional phi**6 Theory
Mar, 197619 pages
Published in:
- Nucl.Phys.B 118 (1977) 199-217
- Published: 1977
Report number:
- Print-76-0244 (BRANDEIS)
Citations per year
Abstract: (Elsevier)
We discuss three-dimensional φ 6 theory in the context of the 1/ N expansion. Previously we found that the theory behaved as if it were super -renormalizable to leading order in 1/ N . In view of the unusual behaviour and possible inconsistencies of renormalizable field theories in the 1/ N expansion we extend the analysis of φ 6 theory to second order in 1/ N since this is the order at which the φ 6 coupling constant renormalization becomes infinite. We derive the effective potential and renormalization counterterms to second order in 1/ N and discuss symmetry breaking and the stability of the vacuum. No inconsistencies appear. We also discuss the renormalization group and show the existence of a non-trivial fixed point to second order in 1/ N .- field theory: scalar
- SYMMETRY: O(N)
- RENORMALIZATION: COUPLING CONSTANT
- COUPLING CONSTANT: RENORMALIZATION
- POSTULATED PARTICLE: TACHYON
- APPROXIMATION: EFFECTIVE POTENTIAL
- CURRENT ALGEBRA: EFFECTIVE LAGRANGIANS
- RENORMALIZATION GROUP: CALLAN-SYMANZIK EQUATION
- HIGH ENERGY BEHAVIOR
- SPONTANEOUS SYMMETRY BREAKING
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