Exploring a new SU(4) symmetry of meson interpolators
In recent lattice calculations it has been discovered that mesons upon truncation of the quasizero modes of the Dirac operator obey a symmetry larger than the SU(2)LxSU(2)RxU(1) A symmetry of the QCD Lagrangian. This symmetry has been suggested to be SU(4)[supersetof]SU(2)LxU(2)RxU(1) A that mixes n...
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| creator | Glozman, L Ya Pak, M |
| description | In recent lattice calculations it has been discovered that mesons upon truncation of the quasizero modes of the Dirac operator obey a symmetry larger than the SU(2)LxSU(2)RxU(1) A symmetry of the QCD Lagrangian. This symmetry has been suggested to be SU(4)[supersetof]SU(2)LxU(2)RxU(1) A that mixes not only the u- and d-quarks of a given chirality, but also the left- and right-handed components. Here it is demonstrated that bilinear q super(-)q interpolating fields of a given spin J> or =1 transform into each other according to irreducible representations of SU(4) or, in general, SU(2NF). This fact together with the coincidence of the correlation functions establishes SU(4) as a symmetry of the J> or =1 mesons upon quasizero mode reduction. It is shown that this symmetry is a symmetry of the confining instantaneous charge-charge interaction in QCD. Different subgroups of SU(4) as well as the SU(4) algebra are explored. |
| doi_str_mv | 10.1103/PhysRevD.92.016001 |
| format | Article |
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This symmetry has been suggested to be SU(4)[supersetof]SU(2)LxU(2)RxU(1) A that mixes not only the u- and d-quarks of a given chirality, but also the left- and right-handed components. Here it is demonstrated that bilinear q super(-)q interpolating fields of a given spin J> or =1 transform into each other according to irreducible representations of SU(4) or, in general, SU(2NF). This fact together with the coincidence of the correlation functions establishes SU(4) as a symmetry of the J> or =1 mesons upon quasizero mode reduction. It is shown that this symmetry is a symmetry of the confining instantaneous charge-charge interaction in QCD. 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Different subgroups of SU(4) as well as the SU(4) algebra are explored.</description><subject>Algebra</subject><subject>Confining</subject><subject>Correlation</subject><subject>Gravitation</subject><subject>Mesons</subject><subject>Quantum chromodynamics</subject><subject>Reduction</subject><subject>Symmetry</subject><issn>2470-0010</issn><issn>2470-0029</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNo9jD1PwzAUAC0EElXpH2DyWIaU9_wRJyMqpSBVAgGdK9d-hqAkDnEK5N8jBGK6G07H2DnCAhHk5cPrmB7p43pRigVgDoBHbCKUgQxAlMf_jnDKZim9AfxUpUGcML366urYV-0Lt7ylT_60nasLnsamoaEfeQy8oRRbXrUD9V2s7RD7dMZOgq0Tzf44Zdub1fPyNtvcr--WV5usE7oYMgzK7YtABrQXWHhwuTQlkSys15oQ9F4oG5zQEoP31iknvA_CWFRO6lJO2fz32_Xx_UBp2DVVclTXtqV4SDs0RY6l0AblN7aTS48</recordid><startdate>20150702</startdate><enddate>20150702</enddate><creator>Glozman, L Ya</creator><creator>Pak, M</creator><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20150702</creationdate><title>Exploring a new SU(4) symmetry of meson interpolators</title><author>Glozman, L Ya ; Pak, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p258t-1f4cb8fe705d218d0c6379ee38ad55e105b24afc2531fddac4c2ddf27a14c3593</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Algebra</topic><topic>Confining</topic><topic>Correlation</topic><topic>Gravitation</topic><topic>Mesons</topic><topic>Quantum chromodynamics</topic><topic>Reduction</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Glozman, L Ya</creatorcontrib><creatorcontrib>Pak, M</creatorcontrib><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Glozman, L Ya</au><au>Pak, M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exploring a new SU(4) symmetry of meson interpolators</atitle><jtitle>Physical review. D</jtitle><date>2015-07-02</date><risdate>2015</risdate><volume>92</volume><issue>1</issue><issn>2470-0010</issn><eissn>2470-0029</eissn><abstract>In recent lattice calculations it has been discovered that mesons upon truncation of the quasizero modes of the Dirac operator obey a symmetry larger than the SU(2)LxSU(2)RxU(1) A symmetry of the QCD Lagrangian. This symmetry has been suggested to be SU(4)[supersetof]SU(2)LxU(2)RxU(1) A that mixes not only the u- and d-quarks of a given chirality, but also the left- and right-handed components. Here it is demonstrated that bilinear q super(-)q interpolating fields of a given spin J> or =1 transform into each other according to irreducible representations of SU(4) or, in general, SU(2NF). This fact together with the coincidence of the correlation functions establishes SU(4) as a symmetry of the J> or =1 mesons upon quasizero mode reduction. It is shown that this symmetry is a symmetry of the confining instantaneous charge-charge interaction in QCD. Different subgroups of SU(4) as well as the SU(4) algebra are explored.</abstract><doi>10.1103/PhysRevD.92.016001</doi></addata></record> |
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| source | American Physical Society Journals |
| subjects | Algebra Confining Correlation Gravitation Mesons Quantum chromodynamics Reduction Symmetry |
| title | Exploring a new SU(4) symmetry of meson interpolators |
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