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Mean-Field Expansion, Regularization Issue, and Multi-Quark Functions in Nambu–Jona-Lasinio Model. Symmetry (Basel) 2019. [DOI: 10.3390/sym11050668] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
In this paper, the results of the investigation of multi-quark equations in the Nambu–Jona-Lasinio (NJL) model in the mean-field expansion are presented. The multi-quark functions have been considered up to the third order of expansion. One of the purposes of our computations is the study of corrections of higher orders to parameters of the model. The important problem of the application of the NJL model is regularization. We compare the NJL model with 4-dimensional cutoff regularization and the dimensionally analytical regularization. We also discuss so-called “predictive regularization” in the NJL model, and a modification of this regularization, which is free of the Landau pole, is proposed. To calculate the high-order corrections, we use the Legendre transform method in the framework of bilocal-source formalism, which allows one effectively to take into consideration the symmetry constraints. A generalization of the mean-field expansion for other types of multi-quark sources is also discussed.
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Baryons as solitonic solutions of the chiral sigma model. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1996; 54:2636-2646. [PMID: 9971620 DOI: 10.1103/physrevc.54.2636] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Sphaleron transitions in the minimal standard model and the upper bound for the Higgs boson mass. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1996; 53:3366-3391. [PMID: 10020330 DOI: 10.1103/physrevd.53.3366] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Elimination of the Landau ghost from chiral solitons. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1994; 50:3088-3093. [PMID: 9970012 DOI: 10.1103/physrevc.50.3088] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Fermion sea along the sphaleron barrier. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 49:6864-6882. [PMID: 10017008 DOI: 10.1103/physrevd.49.6864] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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The effective action of a spin 1/2 field in the background of a chiral soliton. ACTA ACUST UNITED AC 1992. [DOI: 10.1007/bf01625899] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Neutral pion condensation in quark matter including vacuum fluctuation effects. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1992; 45:2445-2449. [PMID: 9968009 DOI: 10.1103/physrevc.45.2445] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Regularization of the vacuum energy in the chiral-soliton model as an energy-eigenvalue sum. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1991; 43:1358-1365. [PMID: 10013506 DOI: 10.1103/physrevd.43.1358] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Spin content of the proton in a chiral quark model. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:2427-2430. [PMID: 10013111 DOI: 10.1103/physrevd.42.2427] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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One-loop effective action in the sigma model for a periodic-chiral-field ansatz. Int J Clin Exp Med 1990; 41:3800-3813. [PMID: 10012323 DOI: 10.1103/physrevd.41.3800] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Evaluation of Dirac sea effects in a finite system. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1990; 41:1851-1854. [PMID: 9966535 DOI: 10.1103/physrevc.41.1851] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Solitons in a sigma model with a fermionic determinant. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1989; 40:3430-3439. [PMID: 10011712 DOI: 10.1103/physrevd.40.3430] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Aspects of the chiral quark model. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1988; 38:1571-1583. [PMID: 9959304 DOI: 10.1103/physrevd.38.1571] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Calculating boson and fermion loops in 3+1 dimensions and the derivative expansion. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1988; 37:1670-1676. [PMID: 9958851 DOI: 10.1103/physrevd.37.1670] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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