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Light-Cone Quantization: Foundations and Applications
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 naturallyExpand
The Light-Cone Effective Potential
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 isExpand
Hamiltonian Approach to the Gribov Problem
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 exactExpand
Light-Cone Dynamics of Particles and Fields
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
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 coneExpand
Spontaneous symmetry breaking in light cone quantum field theory
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 constrainedExpand
Non-trivial vacuum structure in light-cone quantum field theory
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-typeExpand
The fermionic Schwinger model in light cone quantisation
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 fromExpand
Plymouth Undergraduate Research in Mathematics
We briefly discuss some peculiarities of undergraduate research in mathematics and present two examples from our educational practice