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BRST Symmetry: Boundary Conditions and Edge States in QED

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arxiv 1604.03696 v3 pith:BS5JSY2S submitted 2016-04-13 hep-th cond-mat.othercond-mat.supr-conmath-phmath.MP

BRST Symmetry: Boundary Conditions and Edge States in QED

Nirmalendu Acharyya , A. P. Balachandran , Ver\'onica Errasti D\'iez , P. N. Bala Subramanian , Sachindeo Vaidya This is my paper
classification hep-th cond-mat.othercond-mat.supr-conmath-phmath.MP
keywords boundarybrstconditionsformalismgaugeonlystatessubset
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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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