Fixed Points and Anomalous Dimensions in a Thirring-Type Model in 2+εDimensions
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概要
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We deal with the U(N) symmetric Thirring-type Lagrangian of N-component fermions in 2+ε dimensions. Applying the 1/N expansion technique we show the existence of a nontrivial ultraviolet fixed point in the Callan-Symanzik function β(g) between 2 and 4 space-time dimensions. In 2 dimensions β(g) vanishes identically as is characteristic of the Thirring model. We calculate an anomalous dimension of the fermion field in 1/N order and find that it is discontinuous in 2 dimensions, i.e., it is 1/4N if a limit to the 2 dimensions is taken from above, while it is a coupling dependent parameter as in the Thirring model if it is evaluated in 2 dimensions.
- 理論物理学刊行会の論文
- 1977-03-25
著者
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Hikami S
Univ. Tokyo Tokyo
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Hikami Shinobu
Research Institute For Fundamental Physics Kyoto University
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Muta T
Hiroshima Univ. Higashi‐hiroshima Jpn
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Muta Taizo
Research Institute For Fundamental Physics Kyoto University
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Hikami Shinobu
Research Institute For Fumdamental Pysics Kyoto University
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