Perfect and Imperfect Gauge Fixing

Details Perfect and Imperfect Gauge Fixing Perfect and Imperfect Gauge Fixing

2006-09-21

arxiv.org/abs/hep-th/0609145v1

J.Math.Phys.48:082303,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, no figure

Scientific paper

10.1063/1.2709846

Gauge fixing may be done in different ways. We show that using the chain structure to describe a constrained system, enables us to use either a perfect gauge, in which all gauged degrees of freedom are determined; or an imperfect gauge, in which some first class constraints remain as subsidiary conditions to be imposed on the solutions of the equations of motion. We also show that the number of constants of motion depends on the level in a constraint chain in which the gauge fixing condition is imposed. The relativistic point particle, electromagnetism and the Polyakov string are discussed as examples and perfect or imperfect gauges are distinguished.

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