Supersymmetric Ward-Takahashi identity in one-loop lattice perturbation theory: General procedure
- School of Mathematics, Trinity College, Dublin 2 (Ireland)
The one-loop corrections to the lattice supersymmetric Ward-Takahashi identity (WTi) are investigated in the off-shell regime. In the Wilson formulation of the N=1 supersymmetric Yang-Mills theory, supersymmetry is broken by the lattice, by the Wilson term, and is softly broken by the presence of the gluino mass. However, the renormalization of the supercurrent can be realized in a scheme that restores the continuum supersymmetric WTi (once the on-shell condition is imposed). The general procedure used to calculate the renormalization constants and mixing coefficients for the local supercurrent is presented. The supercurrent not only mixes with the gauge invariant operator T{sub {mu}}. An extra mixing with other operators coming from the WTi appears. This extra mixing survives in the continuum limit in the off-shell regime and cancels out when the on-shell condition is imposed and the renormalized gluino mass is set to zero. Comparison with numerical results is also presented.
- OSTI ID:
- 20705150
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 5; Other Information: DOI: 10.1103/PhysRevD.70.054504; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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