14 research outputs found
Schroedinger equation for joint bidirectional motion in time
The conventional, time-dependent Schroedinger equation describes only
unidirectional time evolution of the state of a physical system, i.e., forward
or, less commonly, backward. This paper proposes a generalized quantum dynamics
for the description of joint, and interactive, forward and backward time
evolution within a physical system. [...] Three applications are studied: (1) a
formal theory of collisions in terms of perturbation theory; (2) a
relativistically invariant quantum field theory for a system that kinematically
comprises the direct sum of two quantized real scalar fields, such that one
field evolves forward and the other backward in time, and such that there is
dynamical coupling between the subfields; (3) an argument that in the latter
field theory, the dynamics predicts that in a range of values of the coupling
constants, the expectation value of the vacuum energy of the universe is forced
to be zero to high accuracy. [...]Comment: 30 pages, no figures. Related material is in quant-ph/0404012.
Differs from published version by a few added remarks on the possibility of a
large-scale-average negative energy density in spac
Parallel Transport in Gauge Theory on Geometry
We apply the gauge theory on geometry previously proposed by
Konisi and Saito to the Weinberg-Salam model for electroweak interactions,
especially in order to clarify the geometrical meaning of curvatures in this
geometry. Considering the Higgs field to be a gauge field along
direction, we also discuss the BRST invariant gauge fixing in this theory.Comment: 14 pages, LaTeX file. Change in title and minor changes in conten