Fermions in higher representations. Some results about SU(2) with adjoint fermions

Details Fermions in higher representations. Some results about SU(2) with adjoint fermions Fermions in higher representations. Some results about SU(2) with adjoint fermions

2008-12-02

arxiv.org/abs/0812.0570v1

PoS LATTICE2008:064,2008

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures. Talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg

Scientific paper

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present the implementation of the RHMC algorithm for simulating dynamical Wilson fermions. A first dataset is presented for the SU(2) gauge theory with two fermions in the adjoint representation, which has been proposed as a possible technicolor candidate. Simulations are performed on 8^3x16 lattices, at fixed lattice spacing. The PCAC mass, the pseudoscalar, vector and axial meson masses, the pseudoscalar meson decay constant are computed. The extrapolation to the chiral limit is discussed. However more extensive investigations are needed in order to control the systematic errors in the numerical results, and then understand in detail the phase structure of these theories.

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