Casimir forces from a loop integral formulation

Details Casimir forces from a loop integral formulation Casimir forces from a loop integral formulation

2009-09-18

arxiv.org/abs/0909.3315v2

J. Phys. A: Math. Theor. 43 (2010) 065403 (12pp)

Physics

Quantum Physics

references added, text clarified in places

Scientific paper

10.1088/1751-8113/43/6/065403

We reformulate the Casimir force in the presence of a non-trivial background. The force may be written in terms of loop variables, the loop being a curve around the scattering sites. A natural path ordering of exponentials take place when a particular representation of the scattering centres is given. The basic object to be evaluated is a reduced (or abbreviated) classical pseudo-action that can be operator valued.

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