학술논문
Boundary conditions for constraint systems in variational principle.
Document Type
Journal
Author
Izumi, Keisuke (J-NAGO-OPU) AMS Author Profile; Shimada, Keigo (J-TOKYTE-P) AMS Author Profile; Tomonari, Kyosuke (J-TOKYTE-P) AMS Author Profile; Yamaguchi, Masahide (J-TOKYTE-P) AMS Author Profile
Source
Subject
83 Relativity and gravitational theory -- 83D Relativistic gravitational theories other than Einstein's, including asymmetric field theories
83D05Relativistic gravitational theories other than Einstein's, including asymmetric field theories
83D05
Language
English
Abstract
Summary: ``We show the well-posed variational principle in constraintsystems. In a naive procedure of the variational principle withconstraints, the proper number of boundary conditions does not matchthat of physical degrees of freedom , which implies that, even intheories with up to first-order derivatives, the minimal (or extremal)value of the action with the boundary terms is not a solution of theequation of motion in the Dirac procedure of constrained systems. Wepropose specific and concrete steps to solve this problem. These stepsutilize the Hamilton formalism, which allows us to separate thephysical degrees of freedom from the constraints. This reveals thephysical degrees of freedom that are necessary to be fixed onboundaries, and also enables us to specify the variables to be fixedand the surface terms.''