Spontaneous symmetry breaking in QCD
Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yamada, Hirofumi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1993 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 1993 |
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| Übergeordnetes Werk: |
Enthalten in: Zeitschrift für Physik - Springer-Verlag, 1979, 59(1993), 1 vom: März, Seite 67-75 |
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| Übergeordnetes Werk: |
volume:59 ; year:1993 ; number:1 ; month:03 ; pages:67-75 |
| Links: |
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| DOI / URN: |
10.1007/BF01555840 |
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| Katalog-ID: |
OLC2091918350 |
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| 520 | |a Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. | ||
| 650 | 4 | |a Symmetry Breaking | |
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| 650 | 4 | |a Chiral Symmetry | |
| 650 | 4 | |a Chiral Symmetry Breaking | |
| 650 | 4 | |a Spontaneous Symmetry Breaking | |
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10.1007/BF01555840 doi (DE-627)OLC2091918350 (DE-He213)BF01555840-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Yamada, Hirofumi verfasserin aut Spontaneous symmetry breaking in QCD 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. Symmetry Breaking Quark Mass Chiral Symmetry Chiral Symmetry Breaking Spontaneous Symmetry Breaking Enthalten in Zeitschrift für Physik Springer-Verlag, 1979 59(1993), 1 vom: März, Seite 67-75 (DE-627)130618799 (DE-600)795252-1 (DE-576)016125487 0170-9739 nnns volume:59 year:1993 number:1 month:03 pages:67-75 https://doi.org/10.1007/BF01555840 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4319 AR 59 1993 1 03 67-75 |
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10.1007/BF01555840 doi (DE-627)OLC2091918350 (DE-He213)BF01555840-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Yamada, Hirofumi verfasserin aut Spontaneous symmetry breaking in QCD 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. Symmetry Breaking Quark Mass Chiral Symmetry Chiral Symmetry Breaking Spontaneous Symmetry Breaking Enthalten in Zeitschrift für Physik Springer-Verlag, 1979 59(1993), 1 vom: März, Seite 67-75 (DE-627)130618799 (DE-600)795252-1 (DE-576)016125487 0170-9739 nnns volume:59 year:1993 number:1 month:03 pages:67-75 https://doi.org/10.1007/BF01555840 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4319 AR 59 1993 1 03 67-75 |
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10.1007/BF01555840 doi (DE-627)OLC2091918350 (DE-He213)BF01555840-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Yamada, Hirofumi verfasserin aut Spontaneous symmetry breaking in QCD 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. Symmetry Breaking Quark Mass Chiral Symmetry Chiral Symmetry Breaking Spontaneous Symmetry Breaking Enthalten in Zeitschrift für Physik Springer-Verlag, 1979 59(1993), 1 vom: März, Seite 67-75 (DE-627)130618799 (DE-600)795252-1 (DE-576)016125487 0170-9739 nnns volume:59 year:1993 number:1 month:03 pages:67-75 https://doi.org/10.1007/BF01555840 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4319 AR 59 1993 1 03 67-75 |
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10.1007/BF01555840 doi (DE-627)OLC2091918350 (DE-He213)BF01555840-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Yamada, Hirofumi verfasserin aut Spontaneous symmetry breaking in QCD 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. Symmetry Breaking Quark Mass Chiral Symmetry Chiral Symmetry Breaking Spontaneous Symmetry Breaking Enthalten in Zeitschrift für Physik Springer-Verlag, 1979 59(1993), 1 vom: März, Seite 67-75 (DE-627)130618799 (DE-600)795252-1 (DE-576)016125487 0170-9739 nnns volume:59 year:1993 number:1 month:03 pages:67-75 https://doi.org/10.1007/BF01555840 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4319 AR 59 1993 1 03 67-75 |
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10.1007/BF01555840 doi (DE-627)OLC2091918350 (DE-He213)BF01555840-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Yamada, Hirofumi verfasserin aut Spontaneous symmetry breaking in QCD 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. Symmetry Breaking Quark Mass Chiral Symmetry Chiral Symmetry Breaking Spontaneous Symmetry Breaking Enthalten in Zeitschrift für Physik Springer-Verlag, 1979 59(1993), 1 vom: März, Seite 67-75 (DE-627)130618799 (DE-600)795252-1 (DE-576)016125487 0170-9739 nnns volume:59 year:1993 number:1 month:03 pages:67-75 https://doi.org/10.1007/BF01555840 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4319 AR 59 1993 1 03 67-75 |
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Yamada, Hirofumi |
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Yamada, Hirofumi |
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spontaneous symmetry breaking in qcd |
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Spontaneous symmetry breaking in QCD |
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Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. © Springer-Verlag 1993 |
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Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. © Springer-Verlag 1993 |
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Abstract We study dynamical chiral symmetry breaking in massless QCD by the use of the generalized Hartree-Fock method. As the order parameter of chiral symmetry we choose the dynamical quark mass in the zero momentum limit which we call low energy quark mass. We calculate the low energy mass to the second order of diagrammatic expansion around shifted perturbative vacuum. We then show that the mass is finite and renormalization group invariant. After the improvement of the result by the method of effective charges we estimate the mass in the true vacuum under the gap and stationarity conditions and demonstrate that both of them produce non-zero mass proportional to a conventional scale, which breaks down the chiral symmetry. © Springer-Verlag 1993 |
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