Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1466-1469

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Letters

Renormalization Group Functions of Orthogonal and Symplectic Non-Linear σ Models

Research Institute for Fundamental Physics Kyoto University, Kyoto 606
and
Brookhaven National Laboratory, Upton, New York 11973

(Received July 5, 1980)

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.

URL : http://ptp.ipap.jp/link?PTP/64/1466/
DOI : 10.1143/PTP.64.1466

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Citing Article(s) :

Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1038-1052 :
Nonlinear σ Models on Symmetric Spaces and Large N Limit

Shinobu Hikami and Toshihide Maskawa
Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 1007-1008 :
Generalized Grassmannian Nonlinear σ Model with a Group Parameter α

Shinobu Hikami
Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1038-1049 :
Disordered Elctronic Models and Impurity Spin Dynamics. I

R. Oppermann
Progress of Theoretical Physics Supplement No.84 (1985) pp. 16-46 :
Scaling Theory of Anderson Localization

Arisato Kawabata
Progress of Theoretical Physics Supplement No.84 (1985) pp. 120-137 :
Anderson Localization and Nonlinear σ Model

Shinobu Hikami