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BRST Symmetry: Boundary Conditions and Edge States in QED
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abstract
In manifolds with spatial boundary, BRST formalism can be used to quantize gauge theories. We show that, in a $U(1)$ gauge theory, only a subset of all the boundary conditions allowed by the self-adjointness of the Hamiltonian preserves BRST symmetry. Hence, the theory can be quantized using BRST formalism only when that subset of boundary conditions is considered. We also show that for such boundary conditions, there exist fermionic states which are localized near the boundary.
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Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy
DEM boundary conditions on two parallel plates yield the same Casimir energy as perfectly conducting plates, after restoring BRST invariance with boundary ghost fields.
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