Higher representations on the lattice: perturbative studies

Details Higher representations on the lattice: perturbative studies Higher representations on the lattice: perturbative studies

2008-02-06

arxiv.org/abs/0802.0891v1

JHEP0806:007,2008

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, 4 figures

Scientific paper

10.1088/1126-6708/2008/06/007

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.

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