Nonperturbative improvement of SU(2) lattice gauge theory with adjoint or fundamental flavours. (English) Zbl 1298.81183
Summary: The gauge theory with SU(2) color group and two fermion species, each transforming under the adjoint representation, may appear conformal or almost conformal in the infrared, and is one of the candidate theories for building models for technicolor. Early lattice Monte Carlo studies of this model have used unimproved Wilson fermion formulation, which can be expected to have large lattice cutoff effects. In this paper we present the calculation of the \(O(a)\) improved lattice Wilson-clover action of the theory. The Sheikholeslami-Wohlert coefficient has been determined nonperturbatively, and various boundary improvement terms, needed for the Schrödinger functional formalism, have been calculated in perturbation theory. For comparison, we have also determined the improvement coefficients for SU(2) gauge theory with two fundamental representation fermions. The calculation paves way for more accurate lattice Monte Carlo analyses of the theory in the future.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T25 | Quantum field theory on lattices |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T16 | Nonperturbative methods of renormalization applied to problems in quantum field theory |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 65C05 | Monte Carlo methods |
Keywords:
lattice gauge field theories; nonperturbative effects; lattice quantum field theory; renormalization groupReferences:
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