Renormalization Group Functions of Orthogonal and Symplectic Non-Linear Models
- 1 October 1980
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 64 (4) , 1466-1469
- https://doi.org/10.1143/ptp.64.1466
Abstract
The symplectic Sp(N)/Sp(p)×Sp(N-p) non-linear σ model is studied in 2+ε dimensions and in 1/N expansion. It is shown that the critical exponents are identical to the corresponding expressions for O(-2N)/O(-2p)×O(-2N+2p) non-linear σ model. The β-functions are determined up to three-loop order for orthogonal and symplectic models.Keywords
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