EPJ Web of Conferences (Jan 2018)

Ward identities in N = 1 supersymmetric SU(3) Yang-Mills theory on the lattice

  • Ali Sajid,
  • Bergner Georg,
  • Gerber Henning,
  • Giudice Pietro,
  • Montvay István,
  • Münster Gernot,
  • Piemonte Stefano,
  • Scior Philipp

DOI
https://doi.org/10.1051/epjconf/201817508003
Journal volume & issue
Vol. 175
p. 08003

Abstract

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The introduction of a space-time lattice as a regulator of field theories breaks symmetries associated with continuous space-time, i.e. Poincaré invariance and supersymmetry. A non-zero gluino mass in the supersymmetric Yang-Mills theory causes an additional soft breaking of supersymmetry. We employ the lattice form of SUSY Ward identities, imposing that their continuum form would be recovered when removing the lattice regulator, to obtain the critical hopping parameter where broken symmetries can be recovered.