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Massive Schwinger model withSU(2)fon the light cone

Authors :
Takanori Sugihara
Masanobu Yahiro
Masa aki Taniguchi
Koji Harada
Source :
Physical Review D. 49:4226-4245
Publication Year :
1994
Publisher :
American Physical Society (APS), 1994.

Abstract

The massive Schwinger model with two flavors is studied in the strong coupling region by using the light-front Tamm-Dancoff approximation. The mass spectrum of the lightest particles is obtained numerically. We find that the mass of the lightest isotriplet ("pion") behaves as ${m}^{0.50}$ for strong coupling, where $m$ is the fermion mass. We also find that the lightest isosinglet is not in the valence state ("$\ensuremath{\eta}$") which is much heavier in the strong coupling region, but can be interpreted as a bound state of two pions. It is 1.762 times heavier than the pion at $m=1.0\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}(\frac{e}{\sqrt{\ensuremath{\pi}}})$, while Coleman predicted that the ratio is \ensuremath{\surd}3 in the strong coupling limit. The "pion decay constant" is calculated to be 0.3945.

Details

ISSN :
05562821
Volume :
49
Database :
OpenAIRE
Journal :
Physical Review D
Accession number :
edsair.doi...........9ace0accef7dcbace395250e5ab8d287
Full Text :
https://doi.org/10.1103/physrevd.49.4226