Lattice Gauge Theory for Physics beyond the Standard Model

The implications of lattice field theory for particle physics go far beyond the traditional studies of low energy QCD phenomenology which are currently the major focus of the field. New strongly coupled field theories may well be discovered at LHC scales; for these the lattice will be the major tool. Also supersymmetry is important to many high energy models so their phase structure and spectrum are needed, but they are only beginning to be explored on the lattice and the fundamental connections to the lattice regulator remain wide open. While opportunities abound, there are also theoretical challenges for the lattice approach. We still do not have a non-perturbative regulator for chiral gauge theories, such as those relevant to the weak interactions, without which the very existence of the standard model can be called into question. Sign problems plague numerical approaches to many interesting phenomena such as color superconductivity. All of these questions insure a healthy and challenging future for lattice field theory.