Higher representations on the lattice: perturbative studies

Francesco Sannino, Luigi Del Debbio, Haralambos Panagopoulos, Mads Toudal Frandsen

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Abstrakt

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.
OriginalsprogEngelsk
TidsskriftJournal of High Energy Physics (Online)
Antal sider22
ISSN1126-6708
DOI
StatusUdgivet - 3. jun. 2008

Bibliografisk note

22 pages, 4 figures

Emneord

  • hep-lat

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