Speaker
Markus Quandt
(Universität Tübingen)
Description
We investigate the low-order Green's functions of *SU(N)* Yang-Mills
theory in Landau gauge, using a covariant variational principle based on the
effective action formalism. Employing an approximation to the Faddeev-Popov
determinant established previously in the Hamiltonian approach in Coulomb gauge
leads to a closed and renormalizable set of integral equations for the ghost and
gluon propagator. We perform a full infrared analysis of this system, solve
it numerically and compare our results to findings from lattice gauge theory
and other functional approaches. We also discuss formal aspects such as the lack
of full BRST symmetry and its implications on confinement in our approach.
Furthermore, we demonstrate how the system can be extended to finite temperatures
and search the renormalized numerical solution for signals of a phase transition
in the shape of the propagators and, in particular, in the infrared exponents.
Finally, we discuss briefly the inclusion of fermions and how the method could
be extended to non-zero chemical potential.
Author
Markus Quandt
(Universität Tübingen)
Co-authors
Hugo Reinhardt
(Universität Tübingen)
Jan Heffner
(Universität Tübingen)
