Skip to main content

Research Repository

Advanced Search

Outputs (209)

Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions (2016)
Journal Article
Hogevorst, M., Rychkov, S., & van Rees, B. (2016). Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions. Physical Review D, 93(12), Article 125025. https://doi.org/10.1103/physrevd.93.125025

We consider the continuation of free and interacting scalar field theory to noninteger spacetime dimension d. We find that the correlation functions in these theories are necessarily incompatible with unitarity (or with reflection positivity in Eucli... Read More about Unitarity violation at the Wilson-Fisher fixed point in 4-epsilon dimensions.

Advection-diffusion equations with density constraints (2016)
Journal Article
Mészáros, A. R., & Santambrogio, F. (2016). Advection-diffusion equations with density constraints. Analysis & PDE, 9(3), 615-644. https://doi.org/10.2140/apde.2016.9.615

In the spirit of the macroscopic crowd motion models with hard congestion (i.e., a strong density constraint ρ≤1) introduced by Maury et al. some years ago, we analyze a variant of the same models where diffusion of the agents is also taken into acco... Read More about Advection-diffusion equations with density constraints.

Splitting numbers and signatures (2016)
Journal Article
David, C., Conway, A., & Zacharova, K. (2016). Splitting numbers and signatures. Proceedings of the American Mathematical Society, 144, 5443-5455. https://doi.org/10.1090/proc/13156

The splitting number of a link is the minimal number of crossing changes between different components required to convert it into a split link. We obtain a lower bound on the splitting number in terms of the (multivariable) signature and nullity. Alt... Read More about Splitting numbers and signatures.

Excitation of knotted vortex lines in matter waves (2016)
Journal Article
Maucher, F., Gardiner, S., & Hughes, I. (2016). Excitation of knotted vortex lines in matter waves. New Journal of Physics, 18(6), Article 063016. https://doi.org/10.1088/1367-2630/18/6/063016

We study the creation of knotted ultracold matter waves in Bose–Einstein condensates via coherent two-photon Raman transitions with a Λ level configuration. The Raman transition allows an indirect transfer of atoms from the internal state $| a\rangle... Read More about Excitation of knotted vortex lines in matter waves.

A note on weighted badly approximable linear forms (2016)
Journal Article
Harrap, S., & Moshchevitin, N. (2017). A note on weighted badly approximable linear forms. Glasgow Mathematical Journal, 59(2), 349-357. https://doi.org/10.1017/s0017089516000203

We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give an affirmative answer to the analogue in this setting of a famous conjecture of Schmidt from... Read More about A note on weighted badly approximable linear forms.

On-shell diagrams for N = 8 supergravity amplitudes (2016)
Journal Article
Heslop, P., & Lipstein, A. E. (2016). On-shell diagrams for N = 8 supergravity amplitudes. Journal of High Energy Physics, 2016(06), Article 069. https://doi.org/10.1007/jhep06%282016%29069

We define recursion relations for N = 8 supergravity amplitudes using a generalization of the on-shell diagrams developed for planar N = 4 super-Yang-Mills. Although the recursion relations generically give rise to non-planar on-shell diagrams, we sh... Read More about On-shell diagrams for N = 8 supergravity amplitudes.

The structure function for system reliability as predictive (imprecise) probability (2016)
Journal Article
Coolen, F., & Coolen-Maturi, T. (2016). The structure function for system reliability as predictive (imprecise) probability. Reliability Engineering & System Safety, 154, 180-187. https://doi.org/10.1016/j.ress.2016.06.008

In system reliability, the structure function models functioning of a system for given states of its components. As such, it is typically a straightforward binary function which plays an essential role in reliability assessment, yet it has received r... Read More about The structure function for system reliability as predictive (imprecise) probability.

Surface transport in plasma-balls (2016)
Journal Article
Armas, J., Bhattacharya, J., & Kundu, N. (2016). Surface transport in plasma-balls. Journal of High Energy Physics, 2016, Article 15. https://doi.org/10.1007/jhep06%282016%29015

We study the surface transport properties of stationary localized configurations of relativistic fluids to the first two non-trivial orders in a derivative expansion. By demanding that these finite lumps of relativistic fluid are described by a therm... Read More about Surface transport in plasma-balls.

Twisted versus braided magnetic flux ropes in coronal geometry. II. Comparative behaviour (2016)
Journal Article
Prior, C., & Yeates, A. (2016). Twisted versus braided magnetic flux ropes in coronal geometry. II. Comparative behaviour. Astronomy & Astrophysics, 591, Article A16. https://doi.org/10.1051/0004-6361/201528053

Aims. Sigmoidal structures in the solar corona are commonly associated with magnetic flux ropes whose magnetic field lines are twisted about a mutual axis. Their dynamical evolution is well studied, with sufficient twisting leading to large-scale rot... Read More about Twisted versus braided magnetic flux ropes in coronal geometry. II. Comparative behaviour.