Y. M. Cho

STABILITY OF MONOPOLE CONDENSATION IN SU(2) QCD

We propose to resolve the controversy regarding the stability of the monopole condensation in QCD by calculating the imaginary part of the one-loop effective action perturbatively. We calculate the imaginary part perturbatively to the order g2 with two different methods, with Feynman diagram and with Schwingers method. Our result shows that with the magnetic background the effective action has no imaginary part, but with the electric background it acquires a negative imaginary part. This strongly indicates a stable monopole condensation in QCD.

Finite Energy Electroweak Dyon

The latest MoEDAL experiment at LHC to detect the electroweak monopole makes the theoretical prediction of the monopole mass an urgent issue. We discuss three different ways to estimate the mass of the electroweak monopole. We first present the dimensional and scaling arguments which indicate the monopole mass to be around 4 to 10xa0TeV. To justify this we construct finite energy analytic dyon solutions which could be viewed as the regularized Cho–Maison dyon, modifying the coupling strength at short distance. Our result demonstrates that a genuine electroweak monopole whose mass scale is much smaller than the grand unification scale can exist, which can actually be detected at the present LHC.

Vacuum decomposition of Einstein's theory and knot topology of vacuum space-time

Viewing Einsteins theory as the gauge theory of the Lorentz group, we construct the most general vacuum connections which have vanishing curvature tensor and show that the vacuum space-time can be classified by the knot topology π3(S3) π3(S2) of π3(SO(3, 1)). With this we obtain the gauge-independent vacuum decomposition of Einsteins theory to the vacuum and gauge covariant physical parts. We discuss the physical implications of our result in quantum gravity.

Bargmann–Wigner formulation and superradiance problem of bosons and fermions in Kerr space–time

The superradiance phenomena of massive bosons and fermions in the Kerr spacetime are studied in the Bargmann-Wigner formulation. In case of bi-spinor, the four independent components spinors correspond to the four bosonic freedom: one scalar and three vectors uniquely. The consistent description of the Bargmann-Wigner equations between fermions and bosons shows that the superradiance of the type with positive energy

DIRAC QUANTIZATION OF RESTRICTED QCD

(0<omega)

Zero, normal and super-radiant modes for scalar and spinor fields in Kerr–anti de Sitter spacetime

and negative momentum near horizon

The Schwarzschild Solution in the 4-Dimensional Kaluza-Klein Description of The Einstein's Equations

(p_{rm H}<0)

Solution-generating methods of Einstein’s equations by Hamiltonian reduction

is shown not to occur. On the other hand, the superradiance of the type with negative energy

Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry

(omega<0)

Exact solutions to Einstein's equations in the (2+2) Hamiltonian reduction

and positive momentum near horizon