Thumbnail
Access Restriction
Open

Author Geyer, B. ♦ Gitman, D. M. ♦ Tyutin, I. V.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2002-12-23
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ physics:hep-th
Abstract The structure of the Euler-Lagrange equations for a general Lagrangian theory is studied. For these equations we present a reduction procedure to the so-called canonical form. In the canonical form the equations are solved with respect to highest-order derivatives of nongauge coordinates, whereas gauge coordinates and their derivatives enter in the right hand sides of the equations as arbitrary functions of time. The reduction procedure reveals constraints in the Lagrangian formulation of singular systems and, in that respect, is similar to the Dirac procedure in the Hamiltonian formulation. Moreover, the reduction procedure allows one to reveal the gauge identities between the Euler-Lagrange equations. Thus, a constructive way of finding all the gauge generators within the Lagrangian formulation is presented. At the same time, it is proven that for local theories all the gauge generators are local in time operators.
Description Reference: J.Phys.A36:6587,2003
Educational Use Research
Learning Resource Type Article
Page Count 27


Open content in new tab

   Open content in new tab