97 citations · 777 across the 84 of their papers we have counts for
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Calculation of the multiplicative anomaly
J. S. Dowker
The functional determinant multiplicative anomaly, or defect, is more closely investigated and explicit forms for products of linear operators are produced. I also present formulae…
Expansion of Rényi entropy for free scalar fields
J. S. Dowker
An expression for the effective action of a conformal scalar on odd spheres allows a relatively simple computation of the expansion coefficients of the Rényi entropy for any odd di…
The boundary F-theorem for free fields
J. S. Dowker
The boundary free energy, as defined by Gaiotto, is further analysed for free scalars on a hemisphere and shown to be the same as the N-D determinant that earlier occurred in a tre…
Lens space matter determinants in the vector model
J. S. Dowker
A simple quadrature is given for the free energy (or logdet) of the matter singlet sector in the N-vector model on homogeneous lens spaces.
Determinant for the Coulomb potential on the three-sphere
J. S. Dowker
The functional determinant for a Coulomb potential (or mass squared) on a three-sphere is computed numerically.
Imaginary mass lune determinants
J. S. Dowker
Functional determinants for a scalar field with negative mass squared are numerically evaluated on an orbifolded three-sphere, in particular on a lune and on a regular 4--polytope…
Imaginary mass lens space determinants
J. S. Dowker
Functional determinants for a single scalar field with negative mass squared are evaluated on homogeneous lens spaces. For example, on even order spaces, the Hartle--Hawking wave f…
Massive sphere determinants
J. S. Dowker
An expression for the functional determinant on a sphere for a massive (scalar) field derived by Denef, Hartnoll and Sachdev using quasinormal modes is shown to exist already in th…