The vacuum energy for a massless scalar field defined on a hyperbolic manifold H3/Γ is evaluated using zeta‐function and heat kernel regularization techniques and Selberg trace formula for cocompact group Γ. A negative contribution to the vacuum energy associated with trivial line bundle related to character χ=1 is found.
Vacuum energy for 3+1 dimensional space-time with compact hyperbolic spatial part
Cognola, Guido;Vanzo, Luciano
1992-01-01
Abstract
The vacuum energy for a massless scalar field defined on a hyperbolic manifold H3/Γ is evaluated using zeta‐function and heat kernel regularization techniques and Selberg trace formula for cocompact group Γ. A negative contribution to the vacuum energy associated with trivial line bundle related to character χ=1 is found.File in questo prodotto:
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