Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-28
Nucl.Phys. A703 (2002) 717-744
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages (RevTeX), 12 figures (using graphicx.sty), v3 has improved numerics
Scientific paper
10.1016/S0375-9474(01)01669-4
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 $\pi\pi$ intermediate states increase the sigma meson mass by $\sim 30%$. In an extended model with vector and axial interactions, there are indications that NLO effects could be larger.
Birse Michael C.
Plant Robert S.
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