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Prog. Theor. Phys. Vol. 64 No. 5 (1980) pp. 1828-1851

[ Full Text PDF : FREE ACCESS (1452K) ]

On the Confinement and the Vacuum Degeneracy in the Schwinger Model

Yuji Nakawaki

Faculty of General Education, Setsunan University, Neyagawa 572

(Received May 30, 1980)

Abstract:

It is shown that multiple vacua are physical states in the Schwinger model formulated in a finite spatial interval by constructing explicitly an operator solution in which the fermionic degrees of freedom appear only in charge, chiral charge and spurion operators. These are best illustrated by taking the massless limit of an operator solution to the pre-Schwinger model which is represented in Hilbert space with the usual fermionic charge-sector.
We also describe another operator solution to the pre-Schwinger model expressed in terms of boson fields only. It turns out that vacuum state is a non-normalizable eigenstate of the charge.


URL : http://ptp.ipap.jp/link?PTP/64/1828/
DOI : 10.1143/PTP.64.1828

[ Full Text PDF : FREE ACCESS (1452K) ] Citation:

References:

  1. A. Casher, J. Kogut and L. Susskind, Phys. Rev. D 10 (1974), 732[APS].
  2. J. Schwinger, Phys. Rev. 128 (1962), 2425[APS].
  3. J. H. Lowenstein and J. A. Swieca, Ann. of Phys. 68 (1971), 172[CrossRef].
  4. N. Nakanishi, Prog. Theor. Phys. 57 (1977), 580[PTP].
    N. Nakanishi, Prog. Theor. Phys. 57 (1977), 1025[PTP].
  5. N. Nakanishi, Prog. Theor. Phys. 58 (1977), 1927[PTP].
  6. N. Nakanishi, Kyoto University Preprint RIMS-252 (1978), (unpublished).
  7. N. Nakanishi, Prog. Theor. Phys. 58 (1977), 1580[PTP].
  8. N. Nakanishi, Prog. Theor. Phys. 57 (1977), 269[PTP].
  9. K. R. Ito, Prog. Theor. Phys. 53 (1975), 817[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1458-1465 :
    Restoration of Well-Defined Charge and Chiral Charge and Correct Lorentz-Transformation Property in the Thirring and Pre-Schwinger Models
    Yuji Nakawaki
  2. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1910-1913 :
    Fermion Confinement and Non-Existence of Physical Multiple Vacua in the Schwinger Model
    Yuji Nakawaki
  3. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 235-251 :
    An Axial Gauge Formulation for QED2
    Yuji Nakawaki
  4. Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 1105-1123 :
    Fermion Structures of State Vectors of the Schwinger Model with Multi-Fermions
    Yuji Nakawaki
  5. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 134-151 :
    Non-Existence of the Nontrivial Vacuum Structure in the Schwinger Model. I
    Yuji Nakawaki
  6. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 152-166 :
    Non-Existence of the Nontrivial Vacuum Structure in the Schwinger Model. II
    Yuji Nakawaki
  7. Progress of Theoretical Physics Vol. 106 No. 1 (2001) pp. 167-186 :
    Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge Schwinger Model
    Yuji Nakawaki and Gary McCartor
  8. 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
    Yuji Nakawaki and Gary McCartor

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