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Prog. Theor. Phys. Vol. 52 No. 3 (1974) pp. 1042-1050

Integrability and Definition of Current in the Thirring Model

Yukio Taguchi, Azuma Tanaka^* and Kunio Yamamoto^**

Department of Physics, University of Osaka Prefecture, Sakai, Osaka
^*Department of Physics, Osaka University, Toyonaka, Osaka
^**Institute of Physics, College of General Education, Osaka University, Toyonaka, Osaka

(Received April 1, 1974)

Abstract:

The canonical interaction Hamiltonian in the Thirring model does not satisfy the integrability condition. Then, first of all the integrable Hamiltonian is obtained, which involves one and only one parameter β, the coupling constant in the correctly quantized version. The quantities such as the current and the propagator are uniquely written in terms of β. An ambiguity, however, exists in the relation of β and the coupling constant λ in the classical Lagrangian. This ambiguity is merely apparent and is the one often taken up by several authors in connection with the definition of the current. It is explained why Feynman rules are free from such an ambiguity. The massive vector-meson model is also investigated.

URL : http://ptp.ipap.jp/link?PTP/52/1042/
DOI : 10.1143/PTP.52.1042

[ Full Text PDF : FREE ACCESS (658K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 287-296 :

   Inevitable Surface Dependence of Some Operator Products and Integrability

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2. Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 241-257 :

   Boson Field Description of Fermions in Two Dimensions

   Azuma Tanaka and Kunio Yamamoto

3. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 279-294 :

   Finite and Covariant Formulation of Local Field Theory Based on Improved Operator Products

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4. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 785-796 :

   Fixed Points and Anomalous Dimensions in a Thirring-Type Model in 2+ε Dimensions

   Shinobu Hikami and Taizo Muta

5. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 2077-2090 :

   On the Anomalous Dimension and the Schwinger Term in the U(N) Symmetrie Thirring Model

   Tsuneo Uematsu

6. Progress of Theoretical Physics Vol. 105 No. 3 (2001) pp. 495-500 :

   A New Current Regularization of the Thirring Model

   Hidenori Takahashi and Akihiro Ogura

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