On a Recent Formula to Determine the Physical Degree of Freedom Count

Abstract

For several singular Lagrangians, we illustrate the validity of the Díaz-Higuita-Montesinos formula to obtain the number of physical degrees of freedom. Besides, we introduce one arbitrary function by each effective gauge parameter to apply the Lanczos version of the Noether theorem, and thus to exhibit the corresponding genuine constraints and their conservation by the time evolution.