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Prog. Theor. Phys. Vol. 68 No. 3 (1982) pp. 1007-1008

[ Full Text PDF : FREE ACCESS (105K) ]

Letters

Generalized Grassmannian Nonlinear σ Model with a Group Parameter α

Shinobu Hikami

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153

(Received June 28, 1982)

Abstract:

The dependence of the renormalization group β function on a group parameter α is investigated for the Grassmannian nonlinear σ model. A parameter α takes the value of 1, 2 and 4 for orthogonal, unitary, symplectic case, respectively. Including Cayley projective space (α=8), the generalization of arbitrary α is considered.


URL : http://ptp.ipap.jp/link?PTP/68/1007/
DOI : 10.1143/PTP.68.1007

[ Full Text PDF : FREE ACCESS (105K) ] Citation:


References:

  1. E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980), 528[CrossRef].
  2. S. Hikami, Prog. Theor. Phys. 64 (1980), 1466[PTP].
  3. S. Hikami, Phys. Lett. B 98 (1981), 208[CrossRef].
  4. F. J. Wegner, Nucl. Phys. B 180 (1981), 77[CrossRef].
  5. R. Oppermann and K. Jüngling, Phys. Lett. A 76 (1980), 449[CrossRef].
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  7. P. Cvitanović and A. D. Kennedy, preprint.
  8. S. Hikami and T. Maskawa, Prog. Theor. Phys. 67 (1982), 1038[PTP].
  9. A. B. Balantekin, J. Math. Phys. 23 (1982), 486[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 2188-2190 :
    Nonlinear σ Model and Surface Fluctuation Model in the Large N Limit
    Shinobu Hikami