Abstract

The structure of a quantum field theory with an extended object is explored perturbatively. The perturbative expansion consists of coupled differential equations which are derived from the Heisenberg field equation. These equations are used to reduce the zero mode problem to a choice of boundary conditions. They are then integrated and the constraint of the equal time commutation relations is used to set the boundary conditions and derive commutation relations for the physical fields and the quantum coordinate. Using this information the quantal Hilbert space is constructed.

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