Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)
S. Musberg, G. M\"unster, S. Piemonte
TL;DR
This paper provides a perturbative calculation of the clover term coefficient for Wilson fermions across any SU(N) representation, enhancing lattice QCD and supersymmetric gauge theory simulations.
Contribution
It offers a general one-loop perturbative formula for the Sheikholeslami-Wohlert coefficient applicable to all SU(N) representations, including adjoint and supersymmetric cases.
Findings
Derived the coefficient for Wilson fermions in any SU(N) representation.
Applicable to lattice QCD with adjoint quarks.
Relevant for N=1 supersymmetric Yang-Mills theory.
Abstract
We calculate the Sheikholeslami-Wohlert coefficient of the O(a) improvement term for Wilson fermions in any representation of the gauge group SU(N) perturbatively at the one-loop level. The result applies to QCD with adjoint quarks and to N=1 supersymmetric Yang-Mills theory on the lattice.
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