Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-12-13
Nucl.Phys.Proc.Suppl. 57 (1997) 265-268
Physics
High Energy Physics
High Energy Physics - Theory
6 pages
Scientific paper
10.1016/S0920-5632(97)00400-3
The theory of the usual, constrained p-branes is embedded into a larger theory in which there is no constraints. In the latter theory the Fock-Schwinger proper time formalism is extended from point-particles to p-branes which can be considered as a points in an infinite dimensional space M. The quantization appears to be straightforward and elegant. The conventional p-brane states are particular stationary solutions to the functional Schr\"odinger equation which describes the evolution of a membrane's state with respect to the invariant evolution parameter $\tau$. It is also shown that states of a lower dimensional p-brane can be considered as particular states of a higher dimensional p-brane.
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