2010/12/27 by Yoshio Kikukawa, Kikukawa, Yoshio, Kouta Usui +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1012.5601
openalex publication_date 2010/12/27 · openalex created_date 2020/04/24 · openalex updated_date 2026/07/28
By using overlap Majorana fermions, the cal N=1 chiral multiple can be\nformulated so that the supersymmetry is manifest and the vacuum energy is\ncancelled in the free limit, thanks to the bilinear nature of the free action.\nIt is pointed out, however, that in this formulation the reflection positivity\nis violated in the bosonic part of the action, although it is satisfied in the\nfermionic part. It is found that the positivity of the spectral density of the\nbosonic two-point correlation function is ensured only for the spacial momenta\na | pk | lesssim 1.72 (k=1,2,3). It is then argued that in formulating\n cal N=1 Wess-Zumino model with the overlap Majorana fermion, one may adopt\na simpler nearest-neighbor bosonic action, discarding the free limit manifest\nsupersymmetry. The model still preserves the would-be U(1)R symmetry and\nsatisfies the reflection positivity.\n