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Prog. Theor. Phys. 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^1,* Hitoshi Kambayashi,² Yasuhiko Shinno^3,** and Hiroshi Yoneyama^3,***

¹Department of Physics, Yamagata University, Yamagata 990-8560, Japan
²Towa System Inc., Tokyo 101-0052, Japan
³Department of Physics, Saga University, Saga 840-8502, Japan

(Received January 22, 2006)

Abstract:

The weak coupling region of CP^N-1 lattice field theory with the θ-term is investigated. Both the usual real theta method and the imaginary theta method are studied. The latter was first proposed by Bhanot and David. Azcoiti et al. proposed an inversion approach based on the imaginary theta method. The role of the inversion approach is investigated in this paper. A wide range of values of h = - Im θ is studied, where θ denotes the magnitude of the topological term. Step-like behavior in the x-h relation (where x = Q/V, Q is the topological charge, and V is the two-dimensional volume) is found in the weak coupling region. The physical meaning of the position of the step-like behavior is discussed. The inversion approach is applied to weak coupling regions.

URL : http://ptp.ipap.jp/link?PTP/116/181/
DOI : 10.1143/PTP.116.181

^*E-mail: masaimac@tkg.bbiq.jp
^**E-mail: shinno@dirac.phys.saga-u.ac.jp
^***E-mail: yoneyama@cc.saga-u.ac.jp

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