O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
arXiv:1711.02319 · doi:10.1016/j.nuclphysb.2018.02.008
Abstract
We perform a tree-level O(a) improvement of two-dimensional N=(2,2) supersymmetric Yang-Mills theory on the lattice, motivated by the fast convergence in numerical simulations. The improvement respects an exact supersymmetry Q which is needed for obtaining the correct continuum limit without a parameter fine tuning. The improved lattice action is given within a milder locality condition in which the interactions are decaying as the exponential of the distance on the lattice. We also prove that the path-integral measure is invariant under the improved Q-transformation.
42 pages, no figure; (v2) published version in Nucl. Phys. B
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- Lattice studies of supersymmetric gauge theories
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- Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations