Zobrazeno 1 - 10
of 300
pro vyhledávání: '"Dowker, J. S."'
Autor:
Dowker, J. S.
A recent numerical evaluation of the spherical universal log coefficient in the Maxwell free--energy and its decomposition into bulk and edge contributions via a bounded hyperbolic geometry mode calculation is shown to be equivalent to an existing co
Externí odkaz:
http://arxiv.org/abs/2406.15434
Autor:
Dowker, J. S.
Some exact high temperature expansions are derived using a temperature inversion symmetry of the internal energy for conformal scalars and spinors on the Einstein Universe.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2403.09576
Autor:
Dowker, J. S.
An oldish question is resurrected concerning the significance of the ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir energy on the Einstein Universe for conformally coupled scalar fields. Some remarks in the literature are
Externí odkaz:
http://arxiv.org/abs/2403.03817
Autor:
Dowker, J. S.
Making use of an 1847 result of Newman, a (known) closed formula for a log-sine integral is rapidly obtained in terms of Riemann Zeta and Clausen functions.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/2403.14644
Autor:
Dowker, J. S.
The contribution, E, of hyperbolic elements to the scalar Casimir energy on a compact quotient of the upper half hyperbolic plane is computed for a propagation operator conformal in three dimensions. Due to the proliferation of prime closed geodesics
Externí odkaz:
http://arxiv.org/abs/2402.04107
Autor:
Dowker, J. S.
The contribution of elliptic fixed points to the scalar Casimir energy on compact quotients of the upper half hyperbolic plane is computed for a propagation operator conformal in three dimensions. The expression involves derivatives of two-dimensiona
Externí odkaz:
http://arxiv.org/abs/2311.12708
Autor:
Dowker, J. S.
It is shown that the functional determinant ($\sim$ effective action) for a scalar field propagating on the mixed signature product of unit spheres, S$^q\times$S$^p$, according to the GJMS operator, depends, if $d$ is odd, only on $d=p+q$ and on whet
Externí odkaz:
http://arxiv.org/abs/2310.12027
Autor:
Dowker, J. S.
The Dirac APS eta invariant on a Berger sphere of dimension $2n-1$ is discovered, numerically, to coincide, up to spin factors, with the Dirac conformal anomaly on a round sphere of even dimension, $n$. The analytical expression, given in terms of a
Externí odkaz:
http://arxiv.org/abs/2307.03100
Autor:
Dowker, J. S.
Two theorems involving curl eigenfields on the 3--sphere are obtained using angular momentum theory. Spinor hyperspherical harmonics are shown to form an explicit, convenient basis. In particular, a spin--one vector calculus is reviewed. An easy proo
Externí odkaz:
http://arxiv.org/abs/2304.13628
Autor:
Dowker, J. S.
A discrete Funk--Hecke formula is set up using the analogy between ordinary and operator spherical harmonics. It is the fuzzy sphere analogue of the conventional theory. An example is related, in the classical limit, to the Rayleigh partial wave expa
Externí odkaz:
http://arxiv.org/abs/2303.05362