### Abstract

The massive Schwinger model is quantized on the light cone with great care on the bosonic zero modes by putting the system in a finite (light-cone) spatial box. The zero mode of [Formula presented] survives Dirac’s procedure for the constrained system as a dynamical degree of freedom. After regularization and quantization, we show that the physical space condition is consistently imposed and relates the fermion Fock states to the zero mode of the gauge field. The vacuum is obtained by solving a Schrödinger equation in a periodic potential, so that the [Formula presented] is understood as the Bloch momentum. We also construct a one-meson state in the fermion-antifermion sector and obtained the Schrödinger equation for it.

Original language | English |
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Pages (from-to) | 4910-4919 |

Number of pages | 10 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 55 |

Issue number | 8 |

DOIs | |

Publication status | Published - Jan 1 1997 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*55*(8), 4910-4919. https://doi.org/10.1103/PhysRevD.55.4910

**Dynamics of the light-cone zero modes : [Formula presented] vacuum of the massive Schwinger model.** / Harada, Koji; Okazaki, Atsushi; Taniguchi, Masa aki.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 55, no. 8, pp. 4910-4919. https://doi.org/10.1103/PhysRevD.55.4910

}

TY - JOUR

T1 - Dynamics of the light-cone zero modes

T2 - [Formula presented] vacuum of the massive Schwinger model

AU - Harada, Koji

AU - Okazaki, Atsushi

AU - Taniguchi, Masa aki

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The massive Schwinger model is quantized on the light cone with great care on the bosonic zero modes by putting the system in a finite (light-cone) spatial box. The zero mode of [Formula presented] survives Dirac’s procedure for the constrained system as a dynamical degree of freedom. After regularization and quantization, we show that the physical space condition is consistently imposed and relates the fermion Fock states to the zero mode of the gauge field. The vacuum is obtained by solving a Schrödinger equation in a periodic potential, so that the [Formula presented] is understood as the Bloch momentum. We also construct a one-meson state in the fermion-antifermion sector and obtained the Schrödinger equation for it.

AB - The massive Schwinger model is quantized on the light cone with great care on the bosonic zero modes by putting the system in a finite (light-cone) spatial box. The zero mode of [Formula presented] survives Dirac’s procedure for the constrained system as a dynamical degree of freedom. After regularization and quantization, we show that the physical space condition is consistently imposed and relates the fermion Fock states to the zero mode of the gauge field. The vacuum is obtained by solving a Schrödinger equation in a periodic potential, so that the [Formula presented] is understood as the Bloch momentum. We also construct a one-meson state in the fermion-antifermion sector and obtained the Schrödinger equation for it.

UR - http://www.scopus.com/inward/record.url?scp=0001516887&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001516887&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.55.4910

DO - 10.1103/PhysRevD.55.4910

M3 - Article

AN - SCOPUS:0001516887

VL - 55

SP - 4910

EP - 4919

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

ER -