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 m0.50 for strong coupling, where m is the fermion mass. We also find that the lightest isosinglet is not in the valence state ("η") 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=1.0×10-3(eπ), while Coleman predicted that the ratio is 3 in the strong coupling limit. The "pion decay constant" is calculated to be 0.3945.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)