216 citations · 2.2k across the 159 of their papers we have counts for
162 papers
Curvature at Infinity Governs the Topology of Complete Non-Compact Surfaces Admitting Schrödinger Operators of Finite Index
Hideaki Harumoto, Kei Kondo
In this article, we investigate the global topology of a complete non-compact Riemannian -manifold admitting a Schrödinger operator with non-negative potential and finite Mo…
Gauge-independent transition dividing the confinement phase in the lattice SU(2) gauge-adjoint scalar model
Akihiro Shibata, Kei-Ichi Kondo
The lattice SU(2) gauge-scalar model with the scalar field in the adjoint representation of the gauge group has two completely separated confinement and Higgs phases according to t…
Restoration of residual gauge symmetries towards color confinement due to topological defects
Naoki Fukushima, Kei-Ichi Kondo
We reconsider the restoration of the residual gauge symmetry (RGS) due to topological effects as a possible criterion for color confinement. Although the RGS is ``spontaneously bro…
Unitarity Problem in Gribov-Zwanziger Theory
Thitipat Sainapha, Kei-Ichi Kondo
We show that the unitarity problem in the Gribov-Zwanziger theory can be solved by the famous quartet mechanism. The construction of the new quartet in such a theory suggests the i…
Rigorous reconstruction of gluon propagator in the presence of complex singularities
Yui Hayashi, Kei-Ichi Kondo
It has been suggested that the Landau-gauge gluon propagator has complex singularities, which invalidates the Källén-Lehmann spectral representation. Since such singularities are b…
Confinement, mass gap and gauge symmetry in the Yang-Mills theory -- restoration of residual local gauge symmetry
Kei-Ichi Kondo, Naoki Fukushima
In this talk we want to discuss the color confinement criterion which guarantees confinement of all colored particles including dynamical quarks and gluons. The most well-known cri…