Chiral symmetry breaking in the presence of a confining interaction
- Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210 (United States)
We study chiral symmetry breaking, making use of a generalized Nambu{endash}Jona-Lasinio (NJL) model that includes a description of confinement. The Schwinger-Dyson and Bethe-Salpeter equations are solved for our model of the self-energy of a quark. We show that our analysis is consistent with the Goldstone theorem. That is, the pion has zero mass, if the current quark masses are zero. We use a confining interaction with a (Dirac) matrix structure that leads to simple equations for the self-energy and for a vertex function that serves to sum a ladder of confining interactions. We consider spacelike values of q{sup 2}, and carry out our analysis in a Euclidean momentum space. For timelike q{sup 2}, we use calculational procedures that we have developed in our earlier work in order to exhibit properties of the confining vertex. For the spacelike values of q{sup 2} considered here, we see that the effects due to the introduction of our model of confinement are small. (However, such effects are very important for timelike q{sup 2}. Their consideration is essential, if we wish to study mesons, such as the rho and omega, in our model.) {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 515653
- Journal Information:
- Physical Review, C, Vol. 55, Issue 3; Other Information: PBD: Mar 1997
- Country of Publication:
- United States
- Language:
- English
Similar Records
Electromagnetic properties of the pion as a composite nambu-goldstone boson
Simulating NJL-mechanism with realistic vector-type confining Lagrangian