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A Note on Reflection Positivity and the Umezawa-Kamefuchi-Kallen-Lehmann Representation of Two Point Correlation Functions
Kouta Usui
It will be proved that a model of lattice field theories which satisfies (A1) Hermiticity, (A2) translational invariance, (A3) reflection positivity, and (A4) polynomial boundednes…
Direct Proof of Reflection Positivity of Free Overlap Dirac Fermion
Yoshio Kikukawa, Kouta Usui
It is shown that free lattice Dirac fermions defined by overlap Dirac operator fulfill the Osterwalder-Schrader reflection positivity condition with respect to the link-reflection.
Reflection Positivity of N=1 Wess-Zumino model on the lattice with exact U(1)_R symmetry
Yoshio Kikukawa, Kouta Usui
By using overlap Majorana fermions, the chiral multiple can be formulated so that the supersymmetry is manifest and the vacuum energy is cancelled in the free limit, t…
Reflection Positivity of Free Overlap Fermions
Yoshio Kikukawa, Kouta Usui
It is shown that free lattice fermions defined by overlap Dirac operator fulfill the Osterwalder-Schrader reflection positivity condition with respect to the link-reflection. The p…