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Prog. Theor. Phys. Vol. 82 No. 6 (1989) pp. 1151-1163

[ Full Text PDF : FREE ACCESS (678K) ]

Asymptotically Free versus Asymptotically Non-Free Gauge Theories

Ken-Ichi Aoki, Masako Bando,* Katsuya Hasebe,* Taichiro Kugo** and Hajime Nakatani***

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*Physics Division, Aichi University, Miyoshi, Aichi 470-02
**Department of Physics, Kyoto University, Kyoto 606
***Department of Physics, Nagoya University, Nagoya 464-01

(Received August 14, 1989)

Abstract:

Using the solutions of improved planar Schwinger-Dyson equation, the renormalization flow and fixed point structure are studied for the QCD like gauge theories. Two types of the ultraviolet fixed points are observed in the 2-parameter plane, (\tildeλ, \tildeA), the strength (\tildeλ) and the rapidness of the running coupling constant (\tildeA). One type corresponds to the so-called trivial ultraviolet fixed point observed in asymptotically free gauge theories, and the other to the nontrivial ulltraviolet fixed point to which much attention has been paid from both theoretical and phenomenological points of view. Those two types of fixed points exhibit significantly different properties in some important respects.


URL : http://ptp.ipap.jp/link?PTP/82/1151/
DOI : 10.1143/PTP.82.1151

[ Full Text PDF : FREE ACCESS (678K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 84 No. 4 (1990) pp. 683-701 :
    Calculating the Decay Constant fπ
    Ken-Ichi Aoki, Masako Bando, Taichiro Kugo, Mark G. Mitchard and Hajime Nakatani
  2. Progress of Theoretical Physics Vol. 85 No. 6 (1991) pp. 1299-1315 :
    Critical Instability as an Origin of Large Isospin Breaking
    Masako Bando, Taichiro Kugo and Kazuhiko Suehiro
  3. Progress of Theoretical Physics Vol. 87 No. 1 (1992) pp. 193-206 :
    Cutoff Dependence of Self-Consistent Solutions in Unquenched QED3
    Kei-ichi Kondo and Hajime Nakatani
  4. Progress of Theoretical Physics Vol. 101 No. 3 (1999) pp. 721-747 :
    Bethe-Salpeter Approach for Mesons in the Pion Channel within the Dual Ginzburg-Landau Theory
    Kensuke Kusaka Tsutomu Sakai and Hiroshi Toki
  5. Progress of Theoretical Physics Supplement No.123 (1996) pp. 151-161 :
    Probing Dynamical Symmetry Breaking Using Top Quark
    Takehiko Asaka, Yoshihiro Shobuda, Nobuhiro Maekawa, Takeo Moroi and Yukinari Sumino

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