Augmented Variational Principles and Relative Conservation Laws in Classical Field Theory

摘要: Augmented variational principles are introduced in order to provide a definition of relative conservation laws. As it is physically reasonable, laws define turn conserved quantities that measure, for example, how much energy needed field theory go from one configuration (called the reference or vacuum) another (the physical state system). The general prescription we describe solves covariant way well-known observer dependence quantities. solution found deeply related divergence ambiguity Lagrangian and various formalisms have recently appeared literature deal with variation (of which this formal integration). A number examples relevant fundamental physics considered detail, starting classical mechanics.