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Light-Cone Quantization: Foundations and Applications

- T. Heinzl
- Physics
- 11 August 2000

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 invariance naturally… Expand

The Light-Cone Effective Potential

- T. Heinzl
- Physics
- 17 December 2002

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 result is… Expand

Hamiltonian Approach to the Gribov Problem

- T. Heinzl
- Physics
- 6 September 1996

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 exact… Expand

Light-Cone Dynamics of Particles and Fields

- T. Heinzl
- Physics
- 21 December 1998

We review the foundations as well as a number of important applications of light-cone dynamics. Topics covered are: relativistic particle dynamics, reparametrization invariance, Dirac's front form,… Expand

Nonperturbative light cone quantum field theory beyond the tree level

- T. Heinzl, S. Krusche, S. Simbürger, E. Werner
- Physics
- 13 July 1992

We demonstrate the appearance of spontaneous symmetry breaking induced by nonperturbative quantum corrections for scalar light cone quantum field theory in 1+1 dimensions. We define a light cone… Expand

Spontaneous symmetry breaking in light cone quantum field theory

- T. Heinzl, S. Krusche, E. Werner
- Physics
- 28 November 1991

Abstract We reexamine light cone quantisation of scalar field theories with a spontaneously broken internal symmetry. To this end we use the Dirac-Bergmann algorithm for quantisation of constrained… Expand

Non-trivial vacuum structure in light-cone quantum field theory

- T. Heinzl, S. Krusche, E. Werner
- Physics
- 28 February 1991

Abstract By modifying the Dirac-Bergmann algorithm for the quantisation of constrained systems we solve the massless Schwinger model quantised on a lightlike hyperplane. We obtain a nontrivial θ-type… Expand

The fermionic Schwinger model in light cone quantisation

- T. Heinzl, S. Krusche, E. Werner
- Physics
- 30 January 1992

Abstract We discuss the light cone approach to the fermionic Schwinger model. As this approach necessarily involves constraints, we use the Dirac-Bergmann algorithm to obtain the quantum theory from… Expand

Plymouth Undergraduate Research in Mathematics

- T. Heinzl, T. McCourt
- 21 October 2015

We briefly discuss some peculiarities of undergraduate research in mathematics and present two examples from our educational practice

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