Research Topics and Main Issues
QCD vacuum and confinement
We study the vacuum structure of QCD and its property of confinement.
We calculate the Wilson loops numerically to obtain the string tension.
The key point is which part of the gauge field is responsible for the
confinement. Our mission in this project is to answer to this question.
Abelian decomposition
We implement the Abelian projection in such a gauge invariant way
that we can divide the gauge field into the Abelian part and the rest.
We also divide the Abelian part into electric sector and magnetic sector.
Here, the magnetic sector corresponds to the magnetic monopole in the
continuum limit. We perform the whole classification nuemrically.
Monopole condensation
A number of the QCD groups claim that the monopole condensation is
responsible for the confinement. Our mission is to check this claim
numerically. Another mission is the mechanism in which pattern
the monopoles condense.
Glueballs
We will also study the glueball spectrum. Especially we are interested
in the magnetic glueballs, exotic glueballs, and knot glueballs.