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- W2176360145 abstract "We use the $ensuremath{zeta}$-function technique to calculate the one-loop effective potential for a scalar field in anti-de Sitter (AdS) space. The $ensuremath{zeta}$ function is computed exactly on the four-dimensional hyperbolic space ${H}^{4}$, the Euclidean section appropriate for AdS space. The structure of the ultraviolet divergences is shown to agree with previous calculations where Pauli-Villars or some version of dimensional regularization was used. The finite part of the effective potential is given explicitly by an integral over a variable related to the spectrum of the Laplace-Beltrami operator on ${H}^{4}$." @default.
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- W2176360145 date "1991-06-15" @default.
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- W2176360145 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>ζ</mml:mi></mml:math>-function regularization of one-loop effective potentials in anti-de Sitter spacetime" @default.
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- W2176360145 doi "https://doi.org/10.1103/physrevd.43.3958" @default.
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