Skip to main content

Research Repository

Advanced Search

Outputs (110)

Planar Skyrmions: vibrational modes and dynamics (2005)
Journal Article
Piette, B., & Ward, R. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena, 201(1-2), 45-55. https://doi.org/10.1016/j.physd.2004.12.001

We study Skyrmion dynamics in a (2+1)-dimensional Skyrme model. The system contains a dimensionless parameter α, with α=0 corresponding to the O(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter—this depends o... Read More about Planar Skyrmions: vibrational modes and dynamics.

Beyond the WKB approximation in PT-symmetric quantum mechanics (2005)
Journal Article
Dorey, P., Millican-Slater, A., & Tateo, R. (2005). Beyond the WKB approximation in PT-symmetric quantum mechanics. Journal of Physics A: Mathematical and General, 38(6), 1305-1332. https://doi.org/10.1088/0305-4470/38/6/010

The mergings of energy levels associated with the breaking of symmetry in the model of Bender and Boettcher, and in its generalization to incorporate a centrifugal term, are analysed in detail. Even though conventional WKB techniques fail, it is show... Read More about Beyond the WKB approximation in PT-symmetric quantum mechanics.

Generating function for K-restricted jagged partitions (2005)
Journal Article
Fortin, J., Jacob, P., & Mathieu, P. (2005). Generating function for K-restricted jagged partitions. Electronic Journal of Combinatorics, 12,

We present a natural extension of Andrews' multiple sums counting partitions of the form (λ1,⋯,λm) with λi≥λi+k−1+2. The multiple sum that we construct is the generating function for the so-called K-restricted jagged partitions. A jagged partition is... Read More about Generating function for K-restricted jagged partitions.

Time evolution in string field theory and T-duality (2005)
Journal Article
Ilderton, A., & Mansfield, P. (2005). Time evolution in string field theory and T-duality. Physics Letters B, 607(3-4), 294-301. https://doi.org/10.1016/j.physletb.2004.12.066

The time evolution operator (Schrödinger functional) of quantum field theory can be expressed in terms of first quantised particles moving on S1/Z2. We give a graphical derivation of this that generalises to second quantised string theory. T-duality... Read More about Time evolution in string field theory and T-duality.

Opinion of the Scientific Panel on Plant health, Plant protection products and their Residues on a request from Commission related to the appropriate variability factor(s) to be used for acute dietary exposure assessment of pesticide residues in fruit and vegetables (2005)
Report
Barcelo Culleres, D., Black, R., Boesten, J., Boobis, A., Hardy, A., Hart, A., …Walters, E. (2005). Opinion of the Scientific Panel on Plant health, Plant protection products and their Residues on a request from Commission related to the appropriate variability factor(s) to be used for acute dietary exposure assessment of pesticide residues in fruit and vegetables. European Food Safety Authority

In a batch of food items previously treated with a pesticide, the residue of the pesticide remaining on/in single food items at the time of consumption varies between items, due to a variety of factors. So there is a distribution of residues, with so... Read More about Opinion of the Scientific Panel on Plant health, Plant protection products and their Residues on a request from Commission related to the appropriate variability factor(s) to be used for acute dietary exposure assessment of pesticide residues in fruit and vegetables.

Skyrmions, instantons, mass and curvature. (2005)
Journal Article
Atiyah, M., & Sutcliffe, P. (2005). Skyrmions, instantons, mass and curvature. Physics Letters B, 605(1-2), 106-114. https://doi.org/10.1016/j.physletb.2004.11.015

We show that skyrmions with massless pions in hyperbolic space provide a good approximation to skyrmions with massive pions in Euclidean space, for a particular relationship between the pion mass and the curvature of hyperbolic space. Using this resu... Read More about Skyrmions, instantons, mass and curvature..

Towards the solution to the giant graviton puzzle (2005)
Journal Article
Bena, I., & Smith, D. J. (2005). Towards the solution to the giant graviton puzzle. Physical Review D, Particles and fields, 71(2), https://doi.org/10.1103/physrevd.71.025005

In this paper we present several ideas toward the solution to the giant graviton puzzle-the apparent multiplicity of supergravity states dual to field theory chiral primary operators. We use the fact that, for certain ranges of the angular momentum,... Read More about Towards the solution to the giant graviton puzzle.

Skyrmions and the pion mass. (2005)
Journal Article
Battye, R., & Sutcliffe, P. (2005). Skyrmions and the pion mass. Nuclear Physics B, 705(1-2), 384-400. https://doi.org/10.1016/j.nuclphysb.2004.11.018

We present numerical evidence that suggests the introduction of a nonzero pion mass might dramatically affect the structure of minimal energy skyrmions. It appears that the shell-like skyrmions which are the minima when the pions are massless can fai... Read More about Skyrmions and the pion mass..