Symanzik improvement of the gradient flow in lattice gauge theories

@article{Ramos2016SymanzikIO,
  title={Symanzik improvement of the gradient flow in lattice gauge theories},
  author={Alberto Ramos and Stefan Sint},
  journal={The European Physical Journal. C, Particles and Fields},
  year={2016},
  volume={76}
}
  • Alberto Ramos, Stefan Sint
  • Published in
    The European physical journal…
    2016
  • Physics, Medicine, Mathematics
  • The European Physical Journal. C, Particles and Fields
  • We apply the Symanzik improvement programme to the $$4+1$$4+1-dimensional local re-formulation of the gradient flow in pure SU(N) lattice gauge theories. We show that the classical nature of the flow equation allows one to eliminate all cutoff effects at $$\mathcal O(a^2)$$O(a2), which originate either from the discretised gradient flow equation or from the gradient flow observable. All the remaining $$\mathcal O(a^2)$$O(a2) effects can be understood in terms of local counterterms at the zero… CONTINUE READING

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