Soliton formation in the Nambu-Jona-Lasinio model

Details Soliton formation in the Nambu-Jona-Lasinio model Soliton formation in the Nambu-Jona-Lasinio model

1999-03-23

arxiv.org/abs/nucl-th/9903055v1

Nucl.Phys. A671 (2000) 547-563

Physics

Nuclear Physics

Nuclear Theory

17 pages LaTeX, 4 figures included

Scientific paper

10.1016/S0375-9474(99)00849-0

The soliton formation is considered in the Nambu-Jona-Lasinio model with local four quark interaction and various schemes to regularize the energy contribution of the polarized vacuum. No additional constraints are admitted in order to stabilize the soliton. While solitons are unstable in the proper-time regularized version the three momentum cut-off regularization apparently is more appropriate. Using a semi-classical approach multi-quark solitons obtained from that scheme are discussed. However, no self-consistent non-trivial unit baryon number configuration has been found. We also study a renormalizable extension of the model. In this case no stable multi-quark solitons are obtained within the semi-classical approach.

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