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The $U_A(1)$ Problem on the Lattice
If the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed, it is possible to prove on the lattice the validity of the Witten--Veneziano formula for the $\eta'$ mass. Recent numerical results from simulations with overl...
| Autores principales: | , , , |
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| Lenguaje: | eng |
| Publicado: |
2001
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1016/S0920-5632(01)01910-7 http://cds.cern.ch/record/522696 |
| _version_ | 1780897846708404224 |
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| author | Giusti, Leonardo Rossi, G.C. Testa, M. Veneziano, G. |
| author_facet | Giusti, Leonardo Rossi, G.C. Testa, M. Veneziano, G. |
| author_sort | Giusti, Leonardo |
| collection | CERN |
| description | If the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed, it is possible to prove on the lattice the validity of the Witten--Veneziano formula for the $\eta'$ mass. Recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions give values for the mass of the lightest pseudo-scalar flavour-singlet state that agree with theoretical expectations and/or experimental data. |
| id | cern-522696 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2001 |
| record_format | invenio |
| spelling | cern-5226962023-03-14T18:45:48Zdoi:10.1016/S0920-5632(01)01910-7http://cds.cern.ch/record/522696engGiusti, LeonardoRossi, G.C.Testa, M.Veneziano, G.The $U_A(1)$ Problem on the LatticeParticle Physics - LatticeIf the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed, it is possible to prove on the lattice the validity of the Witten--Veneziano formula for the $\eta'$ mass. Recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions give values for the mass of the lightest pseudo-scalar flavour-singlet state that agree with theoretical expectations and/or experimental data.If the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed, it is possible to prove on the lattice the validity of the Witten--Veneziano formula for the $\eta'$ mass. Recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions give values for the mass of the lightest pseudo-scalar flavour-singlet state that agree with theoretical expectations and/or experimental data.hep-lat/0110036oai:cds.cern.ch:5226962001-10-10 |
| spellingShingle | Particle Physics - Lattice Giusti, Leonardo Rossi, G.C. Testa, M. Veneziano, G. The $U_A(1)$ Problem on the Lattice |
| title | The $U_A(1)$ Problem on the Lattice |
| title_full | The $U_A(1)$ Problem on the Lattice |
| title_fullStr | The $U_A(1)$ Problem on the Lattice |
| title_full_unstemmed | The $U_A(1)$ Problem on the Lattice |
| title_short | The $U_A(1)$ Problem on the Lattice |
| title_sort | $u_a(1)$ problem on the lattice |
| topic | Particle Physics - Lattice |
| url | https://dx.doi.org/10.1016/S0920-5632(01)01910-7 http://cds.cern.ch/record/522696 |
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