Generalizations of {CP} With Nonabelian Gauge Symmetry in Dimensions
Nov, 197913 pages
Published in:
- Nucl.Phys.B 168 (1980) 32-44
- Published: 1980
Report number:
- Print-79-0927 (OXFORD),
- OXFORD-TP 55/79
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Abstract: (Elsevier)
This paper considers non-linear σ models having global U( n ) and local U( k ) symmetries (1 ⩽ k < n ) in space-time dimensions d > 2. The special case k = 1 is the CP n −1 model. The renormalizability to all orders of these models (in the presence of gauge invariant sources) is demonstrated in 2 + ϵ dimensions. A second order phase transition is shown to occur at a coupling strength of order ϵ, analogous to that in the O( n ) model. Certain critical exponents associated with this transition are evaluated at two loop order. We are able to compare the two phases only in the limit n → ∞, k fixed.- FIELD THEORETICAL MODEL: SIGMA
- GAUGE FIELD THEORY: NONABELIAN
- FIELD THEORY: NONLINEAR
- FIELD THEORY: RENORMALIZABLE
- FIELD THEORY: CRITICAL PHENOMENA
- PERTURBATION THEORY
- RENORMALIZATION
- APPROXIMATION: LEADING ORDER
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