A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
| dc.creator | Kikukawa, Yoshio | |
| dc.creator | Suzuki, Hiroshi | |
| dc.date | 2004-12-28 | |
| dc.date | 2005-02-14 | |
| dc.date.accessioned | 2026-07-07T10:48:27Z | |
| dc.date.available | 2026-07-07T10:48:27Z | |
| dc.description | A lattice Wess-Zumino model is formulated on the basis of Ginsparg-Wilson fermions. In perturbation theory, our formulation is equivalent to the formulation by Fujikawa and Ishibashi and by Fujikawa. Our formulation is, however, free from a singular nature of the latter formulation due to an additional auxiliary chiral supermultiplet on a lattice. The model posssesses an exact $\U(1)_R$ symmetry as a supersymmetric counterpart of the Lüscher lattice chiral $\U(1)$ symmetry. A restration of the supersymmetric Ward-Takahashi identity in the continuum limit is analyzed in renormalized perturbation theory. In the one-loop level, a supersymmetric continuum limit is ensured by suitably adjusting a coefficient of a single local term $\tilde F^*\tilde F$. The non-renormalization theorem holds to this order of perturbation theory. In higher orders, on the other hand, coefficents of local terms with dimension $\leq4$ that are consistent with the $\U(1)_R$ symmetry have to be adjusted for a supersymmetric continuum limit. The origin of this complexicity in higher-order loops is clarified on the basis of the Reisz power counting theorem. Therefore, from a view point of supersymmetry, the present formulation is not quite better than a lattice Wess-Zumino model formulated by using Wilson fermions, although a number of coefficients which require adjustment is much less due to the exact $\U(1)_R$ symmetry. We also comment on an exact non-linear fermionic symmetry which corresponds to the one studied by Bonini and Feo; an existence of this exact symmetry itself does not imply a restoration of supersymmetry in the continuum limit without any adjustment of parameters. | |
| dc.description | 1+29 pages, 5 figures, uses JHEP3.cls, the final version to appear in JHEP, a note added | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0412042 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0412042 | |
| dc.identifier | JHEP0502:012,2005 | |
| dc.identifier | doi:10.1088/1126-6708/2005/02/012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183880 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry | |
| dc.type | text |