Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)

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.

6 pages, no figure, revised version with generalised result, to be published in JHEP

References in corpus (4)

• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
• The gluino-glue particle and finite size effects in supersymmetric Yang-Mills theory
• Non-perturbatively improved clover action for SU(2) gauge + fundamental and adjoint representation fermions

Cited by in corpus (17)

• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions
• The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Multi-Representation Dynamics of SU(4) Composite Higgs Models: Chiral Limit and Spectral Reconstructions
• Analysis of Ward identities in supersymmetric Yang-Mills theory
• Lattice simulations of a gauge theory with mixed adjoint-fundamental matter
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Witten index and phase diagram of compactified N=1 supersymmetric Yang-Mills theory on the lattice
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Nonperturbative renormalization of the supercurrent in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory
• Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice
• Spectroscopy of four-dimensional $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Improved results for the mass spectrum of N=1 supersymmetric SU(3) Yang-Mills theory
• Baryonic states in $\mathcal{N}=1$ supersymmetric SU(2) Yang-Mills theory on the lattice
• Clover fermions in the adjoint representation and simulations of supersymmetric Yang-Mills theory
• Non-perturbative O(a) improvement of the SU(3) sextet model