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Prog. Theor. Phys. Vol. 57 No. 2 (1977) pp. 580-592

[ Full Text PDF : FREE ACCESS (893K) ]

Operator Solutions in Terms of Asymptotic Fields in the Thirring and Schwinger Models

Noboru Nakanishi

Research Institute for Mathematical Science, Kyoto University, Kyoto 606

(Received June 23, 1976)

Abstract:

The Thirring model and the Schwinger model (including non-Landau-gauge cases) are described in terms of asymptotic fields. In both models, operator solutions are found explicitly and it is shown that they possess the correct gauge-transformation property, the correct Lorentz-transformation property, locality with right statistics and canonical equal-time commutators. It is also found that, contrary to what is widely believed, gauge invariance is spontaneously broken and the Goldstone boson does exist in the Thirring model. Results of the preceding paper on a free massless scalar field are made use of extensively.


URL : http://ptp.ipap.jp/link?PTP/57/580/
DOI : 10.1143/PTP.57.580

[ Full Text PDF : FREE ACCESS (893K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1025-1037 :
    Operator Solutions in Terms of Asymptotic Fields in the Thirring and Schwinger Models. II
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  2. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1079-1081 :
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    Lorentz Transformation Properties in the Thirring and Schwinger Models
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  4. Progress of Theoretical Physics Vol. 58 No. 5 (1977) pp. 1580-1584 :
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  5. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1927-1934 :
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  9. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1718-1741 :
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  11. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1828-1851 :
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  12. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1458-1465 :
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  13. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1910-1913 :
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  14. Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 935-950 :
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  15. Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 951-964 :
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  16. Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 1105-1123 :
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  18. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 134-151 :
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  19. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 152-166 :
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  20. Progress of Theoretical Physics Vol. 75 No. 1 (1986) pp. 216-219 :
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  21. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1508-1514 :
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  22. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 517-545 :
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  23. Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1193-1207 :
    Quantum Gauge Invariant Formalism of the Schwinger Model
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  24. Progress of Theoretical Physics Vol. 105 No. 3 (2001) pp. 495-500 :
    A New Current Regularization of the Thirring Model
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  25. Progress of Theoretical Physics Vol. 106 No. 1 (2001) pp. 167-186 :
    Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge Schwinger Model
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  26. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 177-189 :
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  27. Progress of Theoretical Physics Vol. 111 No. 6 (2004) pp. 943-960 :
    Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge Schwinger Model. II
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