39 citations · 49 across the 4 of their papers we have counts for
4 papers
Explicit gauge invariant quantization of the Schwinger model on a circle in the functional Schrödinger representation
Joakim Hallin, Per Liljenberg
We solve the Schwinger model on a circle by first finding the explicit groundstate functional(s). Having done this, we give the structure of the Hilbert space and derive bosonizati…
Fermionic and bosonic pair creation in an external electric field at finite temperature using the functional Schrödinger representation
Joakim Hallin, Per Liljenberg
We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles…
SL(2,R) Yang-Mills theory on a circle
I. Bengtsson, J. Hallin
The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results…
Representations of the -algebra and the loop representation in -dimensions
J. Hallin
We consider the phase-space of Yang-Mills on a cylindrical space-time () and the associated algebra of gauge-invariant functions, the -variables. We solve th…