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Article overview
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The Gauged Vector Model in Four-Dimensions: Resolution of an Old Problem? | | David L. Olmsted
; Howard J. Schnitzer
; | | Date: |
13 Feb 1996 | | Journal: | Nucl.Phys. B512 (1998) 237-249 | | Subject: | hep-th hep-ph | | Affiliation: | Brandeis University | | Abstract: | A calculation of the renormalization group improved effective potential for the gauged U(N) vector model, coupled to $N_f$ fermions in the fundamental representation, computed to leading order in 1/N, all orders in the scalar self-coupling $lambda$, and lowest order in gauge coupling $g^2$, with $N_f$ of order $N$, is presented. It is shown that the theory has two phases, one of which is asymptotically free, and the other not, where the asymptotically free phase occurs if $0 < lambda /g^2 < {4/3} (frac{N_f}{N} - 1)$, and $frac{N_f}{N} < {11/2}$. In the asymptotically free phase, the effective potential behaves qualitatively like the tree-level potential. In the other phase, the theory exhibits all the difficulties of the ungauged $(g^2 = 0)$ vector model. Therefore the theory appears to be consistent (only) in the asymptotically free phase. | | Source: | arXiv, hep-th/9602069 | | Services: | Forum | Review | PDF | Favorites | |
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