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Prog. Theor. Phys. Vol. 102 No. 3 (1999) pp. 653-670

Two-Dimensional CP² Model with θ-Term and Topological Charge Distributions

Masahiro Imachi,^*) Shouhei Kanou^**) and Hiroshi Yoneyama^***)

^*Department of Physics, Yamagata University, Yamagata 990-8560, Japan
^**Hitachi Tohoku Software Co., Sendai 980-0811, Japan
^***Department of Physics, Saga University, Saga 840-8502, Japan

(Received April 25, 1999)

Abstract:

Topological charge distributions in the two-dimensional CP² model with the θ-term are calculated. In strong coupling regions, the topological charge distribution is approximately given by a Gaussian form as a function of the topological charge, and this behavior leads to a first order phase transition at θ=π. In weak coupling regions, this distribution exhibits non-Gaussian form, and the first order phase transition disappears. The free energy as a function of θ displays “flattening" behavior at θ=θ_f<π when we calculate the free energy directly from the topological charge distribution. A possible origin of this flattening phenomenon is proposed.

URL : http://ptp.ipap.jp/link?PTP/102/653/
DOI : 10.1143/PTP.102.653

^*)E-mail: imachi@sci.kj.yamagata-u.ac.jp
^**)E-mail: kanou sh@soft.hitachi.co.jp
^***)E-mail: yoneyama@cc.saga-u.ac.jp

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 106 No. 3 (2001) pp. 613-640 :

   CP^N-1 Models with a θ Term and Fixed Point Action

   Rudolf Burkhalter, Masahiro Imachi, Yasuhiko Shinno and Hiroshi Yoneyama

2. Progress of Theoretical Physics Vol. 111 No. 3 (2004) pp. 387-411 :

   Maximum Entropy Method Approach to the θ Term

   Masahiro Imachi Yasuhiko Shinno and Hiroshi Yoneyama

3. Progress of Theoretical Physics Vol. 115 No. 5 (2006) pp. 931-949 :

   The Sign Problem and MEM in Lattice Field Theory with the θ Term

   Masahiro Imachi, Yasuhiko Shinno and Hiroshi Yoneyama

4. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 181-196 :

   The θ-Term, CP^N-1 Model and the Inversion Approach in the Imaginary θ Method

   Masahiro Imachi Hitoshi Kambayashi, Yasuhiko Shinno and Hiroshi Yoneyama

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