Ward identities and the analogous Goldberger-Treiman relation in a three-flavor Spectral Quark Model
This work presents the first results of an extension of the spectral quark model which includes different flavors. The spectral quark model is an approach based on a generalization of the Lehmann representation for the quark propagator. Gauge and chiral invariance are ensured with the help of gauge...
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Published in | Journal of physics. Conference series Vol. 706; no. 5; pp. 52012 - 52016 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.04.2016
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Abstract | This work presents the first results of an extension of the spectral quark model which includes different flavors. The spectral quark model is an approach based on a generalization of the Lehmann representation for the quark propagator. Gauge and chiral invariance are ensured with the help of gauge technique which provides particular solutions to the Ward-Takahashi identities. General conditions on the quark spectral function follow from natural physical requirements. In particular, the function is normalized, its positive momenta must vanish, while the physical observables depend on negative moments and the so-called log moments. As a consequence, the model is made finite. To allow the description of mesons constituted by different flavors of quarks we introduce different spectral functions and obtain vertex functions constructed from Ward-Takahashi identities that includes two different spectral (constituent) quark masses, allowing the physical description of strange mesons, for example. We obtain some observables based on the current approach and, in particular, the spectral version of the Kaon analogous Goldberger-Treiman relation. |
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AbstractList | This work presents the first results of an extension of the spectral quark model which includes different flavors. The spectral quark model is an approach based on a generalization of the Lehmann representation for the quark propagator. Gauge and chiral invariance are ensured with the help of gauge technique which provides particular solutions to the Ward-Takahashi identities. General conditions on the quark spectral function follow from natural physical requirements. In particular, the function is normalized, its positive momenta must vanish, while the physical observables depend on negative moments and the so-called log moments. As a consequence, the model is made finite. To allow the description of mesons constituted by different flavors of quarks we introduce different spectral functions and obtain vertex functions constructed from Ward-Takahashi identities that includes two different spectral (constituent) quark masses, allowing the physical description of strange mesons, for example. We obtain some observables based on the current approach and, in particular, the spectral version of the Kaon analogous Goldberger-Treiman relation. |
Author | Reis, E A Mota, A L Dias, E W |
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Cites_doi | 10.1103/PhysRevD.76.014008 10.1103/PhysRevD.79.085002 10.1007/BF02859738 10.1016/0375-9474(96)00245-X 10.1103/RevModPhys.64.649 10.1134/1.1540654 10.1103/PhysRevD.74.114014 10.1088/0305-4470/10/6/024 10.1007/BF02815780 10.1016/0146-6410(91)90005-9 10.1016/j.physletb.2007.03.047 10.1143/PTP.41.1566 10.1016/S0375-9474(99)00147-5 10.1140/epjc/s2002-01099-8 10.1103/PhysRevD.67.074021 |
ContentType | Journal Article |
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References | 11 12 13 14 16 17 Peskin M E (9) 1995 Delbourgo R (15) 1997; 10 1 2 3 4 5 6 7 Itzykson C (8) 1980 10 |
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SubjectTerms | Flavors Identities Kaons Mesons Physics Quark models Quarks Spectra |
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Title | Ward identities and the analogous Goldberger-Treiman relation in a three-flavor Spectral Quark Model |
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