Prof. Dr. Hugo Reinhardt

Research interests:

In the research group, we are currently studying mainly three approaches to
QCD and Yang-Mills theory in Coulomb gauge: the canonical approach, the lattice
formulation and the functional formalism. The canonical approach is based
on studying the Hamiltonian operator and the state space of the theory. The
lattice formulation discretises spacetime (forming a "lattice" of spacetime points
as opposed to the continuous spacetime) and uses computing power to
directly compute quantities of interest. The functional formalism considers
the equations of motion for the Green's functions of the theory (the
Dyson-Schwinger equations). All these approaches have their strengths and
weaknesses: comparing what is straightforward in one approach, we can learn
about what is not obvious in another. One other point of interest for
Yang-Mills theory in Coulomb gauge is the fact that in 1+1 dimensions (one
space and one time direction), the theory can be solved analytically and
provides an ideal testing ground for techniques used in the 3+1 dimensional world.

Publications: