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Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1425-1434

[ Full Text PDF : FREE ACCESS (588K) ]

Non-Linear σ Model of Grassmann Manifold and Non-Abelian Gauge Field with Scalar Coupling

Shinobu Hikami

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received May 6, 1980)

Abstract:

The renormalization group functions of the non-abelian gauge field with scalar coupling are studied near four dimensions. The 1/N expansion is considered for 2<d<4. It is shown that this model is related to the non-linear σ model of the real Grassmann manifold O(N)/O(p)×O(N-p) for the Large N case. The case of a complex field is also investigated.


URL : http://ptp.ipap.jp/link?PTP/64/1425/
DOI : 10.1143/PTP.64.1425

[ Full Text PDF : FREE ACCESS (588K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 60 (1991) pp. 1839-1843 :
    Chiral Criticality near Two Dimensions
    Hikaru Kawamura
  2. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1466-1469 :
    Renormalization Group Functions of Orthogonal and Symplectic Non-Linear σ Models
    Shinobu Hikami
  3. 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
  4. Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 277-286 :
    Strong Coupling Limit of Abelian Higgs Model and Its Correspondence with CPn-1 Model
    Jnanadeva Maharana
  5. Progress of Theoretical Physics Vol. 70 No. 6 (1983) pp. 1523-1533 :
    Renormalized Field Theory of Amorphous Magnets. I
    Michiyoshi Oku
  6. Progress of Theoretical Physics Supplement No.84 (1985) pp. 120-137 :
    Anderson Localization and Nonlinear σ Model
    Shinobu Hikami

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