Abstract
The nonlocal chiral quark model is extended beyond mean field using a strict 1/N c expansion scheme. The nonlocal interaction has the advantage that all diagrams are finite and leads to unique evaluation of the 1/N c corrections. Parameters of the nonlocal model are refitted making use of the physical values of the pion mass and the weak pion decay constant. The size of the 1/N c correction to the quark condensate is carefully studied in nonlocal and local Nambu-Jona-Lasinio models. It is found that even the sign of the corrections can be different.
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Financial support by the RFBR (grant no. 09-02-00749) and EMMI. Numerical calculations have been carried out on Blackford MultiCore computing cluster of ISDCT.
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Blaschke, D., Buballa, M., Radzhabov, A.E. et al. Nonlocal quark model beyond mean field. Phys. Part. Nuclei 41, 921–923 (2010). https://doi.org/10.1134/S1063779610060195
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DOI: https://doi.org/10.1134/S1063779610060195