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

@inproceedings{Hikami1980NonLinearM,
  title={Non-Linear σ Model of Grassmann Manifold and Non-Abelian Gauge Field with Scalar Coupling},
  author={Shinobu Hikami},
  year={1980}
}
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 Z<d<4. It is shown that this model is related to the non-linear !5 model of the real Grassmann manifold O(N)/O(p) xO(N-p) for the large N case. The case of a complex field is also investigated. Recently, the generalized non-linear o models have been investigated. The cpN-! modelv~sl is an example. In a previous paper,<) the… CONTINUE READING

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