Mass splittings in a linear sigma model for multiflavor gauge theories
We calculate the tree-level mass spectrum for a linear sigma model describing the scalar and pseudoscalar mesons of a SU(3) local gauge theory with Dirac fermions in the fundamental representation. N1 fermions have a mass m1 and N2 a mass m2. Using recent lattice data with m1=m2 and N1+N2=8 or 12, w...
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| Veröffentlicht in: | Physical review. D 2018-11, Vol.98 (9), p.094509, Article 094509 |
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| creator | Floor, D. Gustafson, E. Meurice, Y. |
| description | We calculate the tree-level mass spectrum for a linear sigma model describing the scalar and pseudoscalar mesons of a SU(3) local gauge theory with Dirac fermions in the fundamental representation. N1 fermions have a mass m1 and N2 a mass m2. Using recent lattice data with m1=m2 and N1+N2=8 or 12, we predict the mass splittings for m2=m1+δm. At first order in δm, an interesting inverted pattern appears in the 0++ sector, where mesons with lighter fermions are heavier. This feature could be tested in ongoing calculations provided that m1 and δm are sufficiently small. We discuss possible improvements of the approach. |
| doi_str_mv | 10.1103/PhysRevD.98.094509 |
| format | Article |
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D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Floor, D.</au><au>Gustafson, E.</au><au>Meurice, Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mass splittings in a linear sigma model for multiflavor gauge theories</atitle><jtitle>Physical review. D</jtitle><date>2018-11-01</date><risdate>2018</risdate><volume>98</volume><issue>9</issue><spage>094509</spage><pages>094509-</pages><artnum>094509</artnum><issn>2470-0010</issn><eissn>2470-0029</eissn><abstract>We calculate the tree-level mass spectrum for a linear sigma model describing the scalar and pseudoscalar mesons of a SU(3) local gauge theory with Dirac fermions in the fundamental representation. N1 fermions have a mass m1 and N2 a mass m2. Using recent lattice data with m1=m2 and N1+N2=8 or 12, we predict the mass splittings for m2=m1+δm. 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| ispartof | Physical review. D, 2018-11, Vol.98 (9), p.094509, Article 094509 |
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| source | American Physical Society Journals |
| subjects | Fermions Gauge theory Mathematical models Mesons |
| title | Mass splittings in a linear sigma model for multiflavor gauge theories |
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