The Classical and Quantum Theory of Relativistic p-Branes without Constraints

Abstract

It is shown that a relativistic (i.e. a Poincar{\' e} invariant) theory of extended objects (called p-branes) is not necessarily invariant under reparametrizations of corresponding $p$-dimensional worldsheets (including worldlines for $p=0$). Consequnetly, no constraints among the dynamical variables are necessary and quantization is straightforward. Additional degrees of freedom so obtained are given a physical interpretation as being related to membrane's elastic deformations ("wiggleness"). In particular, such a more general, unconstrained theory implies as solutions also those p-brane states that are solutions of the conventional theory of the Dirac-Nambu-Goto type.

arXiv comment21 pages

References in corpus (1)

• Wiggly Relativistic Strings

Cited by in corpus (6)

• Resource Letter on geometrical results for Embeddings and Branes
• Higher Derivative Gravity and Torsion from the Geometry of C-spaces
• Clifford Space as the Arena for Physics
• The Dirac-Nambu-Goto p-Branes as Particular Solutions to a Generalized, Unconstrained Theory
• On the Resolution of Time Problem in Quantum Gravity Induced from Unconstrained Membranes
• Fock-Schwinger proper time formalism for p-branes