Mesonic fluctuations in a nonlocal NJL model
Jul, 200021 pages
Published in:
- Nucl.Phys.A 703 (2002) 717-744
e-Print:
- hep-ph/0007340 [hep-ph]
Report number:
- MC-TH-00-05
Citations per year
Abstract:
The effects of meson fluctuations are studied in a nonlocal generalization of the Nambu-Jona-Lasinio model, by including terms of next-to-leading order (NLO) in 1/N_c. In the model with only scalar and pseudoscalar interactions NLO contributions to the quark condensate are found to be very small. This is a result of cancellation between virtual mesons and Fock terms, which occurs for the parameter sets of most interest. In the quark self-energy, similar cancellations arise in the tadpole diagrams, although not in other NLO pieces which contribute at the \sim 25% level. The effects on pion properties are also found to be small. NLO contributions from real intermediate states increase the sigma meson mass by . In an extended model with vector and axial interactions, there are indications that NLO effects could be larger.Note:
- 22 pages (RevTeX), 12 figures (using graphicx.sty), v3 has improved numerics Report-no: TH/00/05
- 11.15.Pg
- 12.39.Ki
- 11.30.Rd
- Nambu–Jona-Lasinio model
- Nonlocal interactions
- Chiral symmetry
- 1/ N c expansion
- Sigma meson
- 1/ Nc expansion
- Jona-Lasinio-Nambu model: nonlocal
References(51)
Figures(0)