Abstract
Recently it was suggested that the problem of species doubling with Kogut-Susskind lattice fermions entails, at finite chemical potential, a confusion of particles with antiparticles. What happens instead is that the familiar correspondence of positive-energy spinors to particles, and of negative-energy spinors to antiparticles, ceases to hold for the Kogut-Susskind time derivative. To show this we highlight the role of the spinorial “energy” in the Osterwalder-Schrader reconstruction of the Fock space of non-interacting lattice fermions at zero temperature and nonzero chemical potential. We consider Kogut-Susskind fermions and, for comparison, fermions with an asymmetric one-step time derivative.
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Mendel, E., Polley, L. Negative-energy spinors and the Fock space of lattice fermions at finite chemical potential. Z. Phys. C - Particles and Fields 65, 127–134 (1995). https://doi.org/10.1007/BF01571313
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DOI: https://doi.org/10.1007/BF01571313