HEINZL, T and WERNER, E (1994) LIGHT-FRONT QUANTIZATION AS AN INITIAL-BOUNDARY VALUE-PROBLEM. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 62 (3). pp. 521-531. ISSN 0170-9739,
Full text not available from this repository.Abstract
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 field equations. We investigate under which additional conditions the problem of solving the field equations becomes well posed. The consequences for quantisation are studied within a Hamiltonian formulation by using the method of Faddeev and Jackiw for dealing with first-order Lagrangians. For the prototype field theory of massive scalar fields in 1 + 1 dimensions, we find that initial conditions for fixed light cone time and boundary conditions in the spatial variable are sufficient to yield a consistent commutator algebra. Data on a second lightlike hyperplane are not necessary. Hamiltonian and Euler-Lagrange equations of motion become equivalent; the description of the dynamics remains canonical and simple. In this way we justify the approach of discretised light cone quantisation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | INFINITE-MOMENTUM FRAME; QUANTUM FIELD-THEORIES; SPONTANEOUS SYMMETRY-BREAKING; PAIR ANNIHILATION PROCESSES; LEPTON-NUCLEON SCATTERING; ONE TIME DIMENSION; CONE QUANTIZATION; DIRAC FIELDS; GAUGE-THEORIES; ONE SPACE; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/53274 |
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