Office:
Room 906E, 17 Lex., Phone: (646) 660-6205
RESEARCH Currently, my main interest is the long-range physics of Yang-Mills theories, in particular QCD. I have been looking at the confinement problem in two different ways: - 2+1-dimensional lattice Yang-Mills theory in axial gauge. This theory admits an unusual weak-coupling expansion, different from conventional perturbation theory. The expansion is around 1+1-dimensional integrable field theories, where the spectrum and mass gap are known. Unlike the standard weak-coupling methods, confinement occurs very simply.
- I have also been looking for some time at the properties of gauge-theory orbit space. This is the space of gauge connections modulo gauge transformations - QCD configurations are not gauge fields, but rather gauge orbits. I have been able to find the measure and Riemann curvature on this space in 2+1 dimensions on a special set of coordinates. I have been trying to find similar coordinates in 3+1 dimensions, where new obstacles occur - in some sense the Gribov problem is more severe as dimension increases.
In addition to the above I have been looking at problems in general relativity and cosmology and in integrable quantum field theories. PUBLICATIONS |