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Weyl and ghost fermions on the lattice
Nielsen-Ninomiya theorem forbids Weyl fermions on the lattice which respect the full hypercubic symmetry. By giving up this assumption in a specific way, it is possible to formulate a lattice theory with a single Weyl fermion in four dimensions and a sextet of Dirac particles in two dimensions. This...
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| Lenguaje: | eng |
| Publicado: |
2010
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| Acceso en línea: | http://cds.cern.ch/record/1302611 |
| _version_ | 1780921082637713408 |
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| author | Borici, Artan |
| author_facet | Borici, Artan |
| author_sort | Borici, Artan |
| collection | CERN |
| description | Nielsen-Ninomiya theorem forbids Weyl fermions on the lattice which respect the full hypercubic symmetry. By giving up this assumption in a specific way, it is possible to formulate a lattice theory with a single Weyl fermion in four dimensions and a sextet of Dirac particles in two dimensions. This way, the meaning of the theorem in relation to the doubling problem on the lattice is clarified. Whether the proposal will be suited for future lattice computations will depend on the effects the extra particles will have in the interacting theory. |
| id | cern-1302611 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2010 |
| record_format | invenio |
| spelling | cern-13026112019-09-30T06:29:59Zhttp://cds.cern.ch/record/1302611engBorici, ArtanWeyl and ghost fermions on the latticeParticle Physics - LatticeNielsen-Ninomiya theorem forbids Weyl fermions on the lattice which respect the full hypercubic symmetry. By giving up this assumption in a specific way, it is possible to formulate a lattice theory with a single Weyl fermion in four dimensions and a sextet of Dirac particles in two dimensions. This way, the meaning of the theorem in relation to the doubling problem on the lattice is clarified. Whether the proposal will be suited for future lattice computations will depend on the effects the extra particles will have in the interacting theory.arXiv:1010.5156CERN-PH-TH-2010-246oai:cds.cern.ch:13026112010-10-26 |
| spellingShingle | Particle Physics - Lattice Borici, Artan Weyl and ghost fermions on the lattice |
| title | Weyl and ghost fermions on the lattice |
| title_full | Weyl and ghost fermions on the lattice |
| title_fullStr | Weyl and ghost fermions on the lattice |
| title_full_unstemmed | Weyl and ghost fermions on the lattice |
| title_short | Weyl and ghost fermions on the lattice |
| title_sort | weyl and ghost fermions on the lattice |
| topic | Particle Physics - Lattice |
| url | http://cds.cern.ch/record/1302611 |
| work_keys_str_mv | AT boriciartan weylandghostfermionsonthelattice |