Classical and quantum mechanics of free relativistic membranes

Collins, P. A. and Tucker, Robin (1976) Classical and quantum mechanics of free relativistic membranes. Nuclear Physics B, 112 (1). pp. 150-176. ISSN 0550-3213

Abstract

Motivated by the theory of relativistic strings, the theory of a two-dimensional relativistic membrane whose action is proportional to the three-dimensional area it traces out in space-time is investigated both in Lagrangian and Hamiltonian formalisms. The quantum theory is developed using Dirac's method for constrained systems and the question of gauge choices is considered in some detail.