The Connection between soliton and vacuum regularization in the Nambu-Jona-Lasinio model
Sep, 1991
25 pages
Published in:
- Nucl.Phys.A 536 (1992) 548-572
- Published: 1992
Report number:
- RUB-TPII-02-91
Citations per year
Abstract: (Elsevier)
In the SU(2) ⊗ SU(2) sector with scalar couplings the semi-basonized Nambu-Jona-Lasinio model is considered in the one-quark loop approximation. The regularization of the divergent fermion determinant is performed using various cutoff schemes. The influence of proper time two different Pauli-Villars and covariant/non-covariant momentum regularizations is studied in the self-consistently treated solitonic sector. Special attention is paid to the fact that the vacuum and solitanic sector are treated on equal footing. This results in a consistency check which is fulfilled for all regularization schemes presented here. For all these schemes solitons with similar physical properties emerge for physically relevant coupling constants. This leads to the conclusion that the consistently regularized Nambu-Jona-Lasinio model is rather insensitive to the special choice of the cutoff procedure at least for constituent quark masses around m = 400 MeV. In the case of the momentum cutoffs the validity of the PCAC relation in the solitanic sector is not guaranteed.- Jona-Lasinio-Nambu model
- field theory: SU(2) x SU(2)
- coupling: scalar
- scalar: coupling
- bosonization
- effective potential
- momentum: regularization
- regularization: Pauli-Villars
- field equations: soliton
- vacuum state
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