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Abstract |
We discuss Stueckelberg massive electromagnetism on an arbitrary four-dimensional curved spacetime. By
considering Hadamard vacuum states, we construct the two-point functions associated with Stueckelberg
massive electromagnetism in de Sitter and anti-de Sitter spacetimes. We present the Hadamard
renormalization of the expectation value of the stress-energy-tensor operator, and we provide its explicit
expression for the Stueckelberg theory. By using this general result, we obtain an exact analytical expression
for the renormalized vacuum expectation value of the stress-energy tensor of the massive vector field
propagating in de Sitter and anti-de Sitter spacetimes. These results could have interesting implications in
cosmology of the very early universe or in the context of the AdS/CFT correspondence. |
