Keiichi Nagao

Formulation of Complex Action Theory

We formulate a complex action theory which includes operators of coordinate and momentum

Admissibility Condition and Nontrivial Indices on a Noncommutative Torus

hat{q}

MOMENTUM AND HAMILTONIAN IN COMPLEX ACTION THEORY

and

Theory Including Future Not Excluded -- Formulation of Complex Action Theory II

hat{p}

Reality and hermiticity from maximizing overlap in the future-included complex action theory

being replaced with non-hermitian operators

Complex action suggests future-included theory

hat{q}_{new}

Ginsparg-Wilson Relation and Admissibility Condition in Noncommutative Geometry

and

Reality from maximizing overlap in the future-included real action theory

hat{p}_{new}

Momentum relation and classical limit in the future-not-included complex action theory

, and their eigenstates

Correspondence between future-included and future-not-included theories

{}_m <_{new} q |