My current interests are in developing non-perturbative methods to solve strongly interacting field theories, and applying them to determine phenomenologically interesting parameters which are intractable perturbatively. The main physical application that motivates me in this research is the physics of the strong interactions, the theory we refer to as Quantum Chromodynamics (QCD). There are many aspects of this theory that require non-perturbative calculations which is presently performed in the framework of the Lattice formulation. Many interesting problems remain unsolved in this field after about twenty five years since its initial conception. The main two puzzles are confinement and the spontaneous breaking of chiral symmetry. The ingredients that produce these interesting phenomena in QCD are fermions(quarks) which interact with non-Abelian gauge bosons. At sufficiently high temperatures and densities it is expected that the theory changes qualitatively leading to very interesting phase structure. Better understanding of these phase structures can again lead to interesting phenomenological predictions. Some of the topics that I have worked on include:
The QCD Phase Transition and the role of the Anomaly
Improved Actions for Lattice QCD
Quantum Link Models: A new approach to Lattice Gauge Theory
Cluster Algorithms for Quantum Spin/Link ModelsYou can find some of my publications that refer to these topics.