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Physics Faculty Scholarship

Mandelstam-Leibbrandt

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Full-Text Articles in Physics

The Mandelstam-Leibbrandt Prescription In Light Cone Quantization Gauge Theories, Gary Mccartor, David G. Robertson Jun 1995

The Mandelstam-Leibbrandt Prescription In Light Cone Quantization Gauge Theories, Gary Mccartor, David G. Robertson

Physics Faculty Scholarship

Quantization of gauge theories on characteristic surfaces and in the light-cone gauge is discussed. Implementation of the Mandelstam-Leibbrandt prescription for the spurious singularity is shown to require two distinct null planes, with independent degrees of freedom initialized on each. The relation of this theory to the usual light-cone formulation of gauge field theory, using a single null plane, is described. A connection is established between this formalism and a recently given operator solution to the Schwinger model in the light-cone gauge.


Light Cone Quantization Of Gauge Fields, Gary Mccartor, David G. Robertson Jun 1994

Light Cone Quantization Of Gauge Fields, Gary Mccartor, David G. Robertson

Physics Faculty Scholarship

Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the Mandelstam-Leibbrandt form of the gauge field propagator. Some aspects of the “discretized” light-cone quantization of gauge fields are discussed.