40 citations · 198 across the 14 of their papers we have counts for
15 papers
On spectrum of the harmonic Kronig-Penney model
J. Gibbons, A. P. Veselov
We study the spectral properties of the harmonic modification of the quantum mechanical Kronig-Penney model motivated by the theory of the dressing chain. In particular, we show th…
Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes
John Gibbons, Alexander Stokes, Alexander P. Veselov
We study a delay-differential analogue of the first Painlevé equation obtained as a delay periodic reduction of Shabat's dressing chain. We construct formal entire solutions to thi…
Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
Jos Gibbons, Atsushi Higuchi, William C. C. Lima
The propagators for the Faddeev-Popov (FP) ghosts in Yang-Mills theory and perturbative gravity in the covariant gauge are infrared (IR) divergent in de Sitter spacetime. An IR cut…
Theory of Heat Equations for Sigma Functions
J. C. Eilbeck, J. Gibbons, Y. Ônishi +1
We consider the heat equations satisfied by the sigma function associated with a planar curve, extending and developing earlier pioneering work of Buchstaber and Leykin. These heat…
Removing the Faddeev-Popov zero modes from Yang-Mills theory in spacetimes with compact spatial sections
Jos Gibbons, Atsushi Higuchi
It is well known that in de Sitter space the (free) minimally coupled massless scalar field theory does not admit any de Sitter-invariant Hadamard state. Related to this is the fac…
Sigma, tau and Abelian functions of algebraic curves
J. C. Eilbeck, V. Z. Enolski, J. Gibbons
We compare and contrast three different methods for the construction of the differential relations satisfied by the fundamental Abelian functions associated with an algebraic curve…