Dynamics of the light-cone zero modes: [Formula presented] vacuum of the massive Schwinger model

Koji Harada, Atsushi Okazaki, Masa aki Taniguchi

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish
Pages (from-to)4910-4919
Number of pages10
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume55
Issue number8
DOIs
Publication statusPublished - 1997

All Science Journal Classification (ASJC) codes

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

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