TY - JOUR
T1 - Higher representations on the lattice
T2 - perturbative studies
AU - Del Debbio, Luigi
AU - frandsen, Mads
AU - Panagopoulos, Haralambos
AU - Sannino, Francesco
N1 - 22 pages, 4 figures
PY - 2008/2/6
Y1 - 2008/2/6
N2 - We present analytical results to guide numerical simulations with Wilson fermions in higher representations of the colour group. The ratio of $\Lambda$ parameters, the additive renormalization of the fermion mass, and the renormalization of fermion bilinears are computed in perturbation theory, including cactus resummation. We recall the chiral Lagrangian for the different patterns of symmetry breaking that can take place with fermions in higher representations, and discuss the possibility of an Aoki phase as the fermion mass is reduced at finite lattice spacing.
AB - We present analytical results to guide numerical simulations with Wilson fermions in higher representations of the colour group. The ratio of $\Lambda$ parameters, the additive renormalization of the fermion mass, and the renormalization of fermion bilinears are computed in perturbation theory, including cactus resummation. We recall the chiral Lagrangian for the different patterns of symmetry breaking that can take place with fermions in higher representations, and discuss the possibility of an Aoki phase as the fermion mass is reduced at finite lattice spacing.
KW - hep-lat
UR - http://www.scopus.com/inward/record.url?scp=47249139111&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2008/06/007
DO - 10.1088/1126-6708/2008/06/007
M3 - Article
SN - 1029-8479
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
ER -