arXiv subjects

Dieter Stoll

Publications and source records attributed to Dieter Stoll.

4 recordsLinked to original sources

arXiv1994

An angle representation of QCD

For the sake of eliminating gauge variant degrees of freedom we discuss the way to introduce angular variables in the hamiltonian formulation of QCD. On the basis of an analysis of Gauss' law constraints a particular choice is made for the variable transformation from gauge fields to angular field variables. The resulting formulation is analogous to the one of Bars in terms of corner variables and it is closely related to the hamiltonian lattice QCD formulation. Therefore the corner or angle formulation may constitute an useful starting point for the investigation of the low energy properties of QCD in terms of gauge invariant degrees of freedom.

hep-ph↗

arXiv1994

The role of zero modes for the infrared behavior of QCD

We analyse the mechanism in which zero modes lead to an elimination of fermionic color non--singlet states in 1+1 dimensions. Using a hamiltonian lattice formulation we clarify the physical meaning of the zero modes but we do not find support for speculations on the crucial importance of lower dimensional fields (zero modes in 1+1 dimension) for the infrared behavior of QCD in 2+1 or higher dimensions.

hep-ph↗

arXiv1994

Gauge fixing by unitary transformations in QCD

The unitary gauge fixing technique is applied to the QCD hamiltonian formulated in terms of angular variables. It is demonstrated that in this formulation projections on the physical Hilbert space are unnecessary to separate physical and unphysical degrees of freedom. Therefore the application of the unitary gauge fixing technique can be extended to the operator level.

hep-ph↗

arXiv1994

The hamiltonian formulation of QCD in terms of angle variables

For the sake of eliminating gauge variant degrees of freedom we discuss the way to introduce angular variables in the hamiltonian formulation of QCD. On the basis of an analysis of Gauss' law constraints a particular choice is made for the variable transformation from gauge fields to angular field variables. The resulting formulation is analogous to the one of Bars in terms of corner variables. Therefore the corner or angle formulation may constitute an useful starting point for the investigation of the low energy properties of QCD in terms of gauge invariant degrees of freedom.

hep-ph↗