85 citations · 348 across the 19 of their papers we have counts for
15 papers · 1 filter
Light-cone zero modes revisited
Thomas Heinzl
The vacuum problem of light-cone quantum field theory is reanalysed from a functional-integral point of view.
The Light-Cone Effective Potential
Thomas Heinzl
It is shown how to calculate simple vacuum diagrams in light-cone quantum field theory. As an application, I consider the one-loop effective potential of phi^4 theory. The standard…
Light-Cone Quantization: Foundations and Applications
T. Heinzl
These lecture notes review the foundations and some applications of light-cone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincare invar…
Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge
F. Bruckmann, T. Heinzl, T. Vekua +1
We investigate the Laplacian Abelian gauge on the sphere S^4 in the background of a single `t Hooft instanton. To this end we solve the eigenvalue problem of the covariant Laplace…
Instantons and Gribov Copies in the Maximally Abelian Gauge
F. Bruckmann, T. Heinzl, T. Tok +1
We calculate the Faddeev-Popov operator corresponding to the maximally Abelian gauge for gauge group SU(N). Specializing to SU(2) we look for explicit zero modes of this operator.…
Loss of Causality in Discretized Light-Cone Quantisation
T. Heinzl, H. Kröger, N. Scheu
We demonstrate that front form quantisation with periodicity in a compact light-like direction (discretized light-cone quantisation) violates microcausality.
Light-Cone Dynamics of Particles and Fields
Thomas Heinzl
We review the foundations as well as a number of important applications of light-cone dynamics. Topics covered are: relativistic particle dynamics, reparametrization invariance, Di…
The Configuration Space of Low-dimensional Yang-Mills Theories
T. Pause, T. Heinzl
We discuss the construction of the physical configuration space for Yang-Mills quantum mechanics and Yang-Mills theory on a cylinder. We explicitly eliminate the redundant degrees…
Variational Mass Perturbation Theory for Light-Front Bound-State Equations
Koji Harada, Thomas Heinzl, Christian Stern
We investigate the mesonic light-front bound-state equations of the 't Hooft and Schwinger model in the two-particle, i.e. valence sector, for small fermion mass. We perform a high…
Hamiltonian Approach to the Gribov Problem
T. Heinzl
We study the Gribov problem within a Hamiltonian formulation of pure Yang-Mills theory. For a particular gauge fixing, a finite volume modification of the axial gauge, we find an e…
Fermion Condensates and the Trivial Vacuum of Light-Cone Quantum Field Theory
T. Heinzl
We discuss the definition of condensates within light-cone quantum field theory. As the vacuum state in this formulation is trivial, we suggest to abstract vacuum properties from t…
Hamiltonian Formulations of Yang-Mills Quantum Theory and the Gribov Problem
Thomas Heinzl
We review the status of quantising (non-abelian) gauge theories using different versions of a Hamiltonian formulation corresponding to Dirac's instant and front form of dynamics, r…
The Vacuum Structure of Light-Front -Theory
T. Heinzl, C. Stern, E. Werner +1
We discuss the vacuum structure of -theory in 1+1 dimensions quantised on the light-front . To this end, one has to solve a non-linear, operator-valued constraint equa…
Light Front Quantisation of Gauge Theories in a Finite Volume
Thomas Heinzl
We discuss the light-front formulation of SU(2) Yang-Mills theory on a torus. The gauge choice we use allows for an exact and unambiguous solution of Gauss's law.
Light-Front Quantisation as an Initial-Boundary Value Problem
T. Heinzl, E. Werner
In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the fi…