1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.FA2014★ 1 cited
Time-ordered exponential on the complex plane and Gell-Mann -- Low formula as a mathematical theorem
Shinichiro Futakuchi, Kouta Usui
The time-ordered exponential representation of a complex time evolution operator in the interaction picture is studied. Using the complex time evolution, we prove the Gell-Mann --…
hep-lat2012
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…
hep-lat2010
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…