Parity Conservation in Supersymmetric Vector-Like Theories
arXiv:hep-th/9804162 · doi:10.1103/PhysRevD.61.025008
Abstract
We show that parity is conserved in vector-like supersymmetric theories, such as supersymmetric QCD with massive quarks with no cubic couplings among chiral multiplets, based on fermionic path-integrals, originally developed by Vafa and Witten. We also look into the effect of supersymmetric breaking through gluino masses, and see that the parity-conservation is intact also in this case. Our conclusion is valid, when only bosonic parity-breaking observable terms are considered in path-integrals like the original Vafa-Witten formulation.
14 pages, latex, no figures; replaced with corrections of exponent in old eq.(2.8), misleading expressions in (3.19), comments on fermionic parity-breaking terms, and some references added
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