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The universal C*-algebra of the electromagnetic field
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A universal C*-algebra of the electromagnetic field is constructed. It is represented in any quantum field theory which incorporates electromagnetism and expresses basic features of this field such as Maxwell's equations, Poincar\'e covariance and Einstein causality. Moreover, topological properties of the field resulting from Maxwell's equations are encoded in the algebra, leading to commutation relations with values in its center. The representation theory of the algebra is discussed with focus on vacuum representations, fixing the dynamics of the field.
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Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approach
Electromagnetic edge modes on bounded spacetimes with corners are treated as quantum reference frames for large gauge transformations via a state-independent C*-algebraic relativisation map, with superselection sector...
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