2006/09/21 by A. Shirzad · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constraint (computer-aided design) #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Geometry #Lorenz gauge condition #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pulsars and Gravitational Waves Research #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1063/1.2709846
published in Journal of Mathematical Physics 48(8) (American Institute of Physics) · 19 pages, no figure
arxiv created 2006/09/21 · openalex publication_date 2007/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 full gauge, in which all gauged degrees of freedom are determined, or a partial 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 full or partial gauges are distinguished.