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19922026
most citedA Review of Theory and Practice in Scientometrics

995 citations

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68 papers · 1 filter

hep-th2024★ 8 cited

Spectral wall in collisions of excited Abelian Higgs vortices

A. Alonso-Izquierdo, J. Mateos Guillarte, M. Rees +1

We find a spectral wall in collisions of two vortices in the Abelian Higgs model at the critical coupling. It occurs if the out-of-phase mode of initially separated vortices is exc…

hep-th2021★ 18 cited

A model for gauged skyrmions with low binding energies

Josh Cork, Derek Harland, Thomas Winyard

We consider gauged skyrmions with boundary conditions which break the gauge from to in models derived from Yang-Mills theory. After deriving genera…

hep-th2019★ 28 cited

Geometric aspects of the ODE/IM correspondence

Patrick Dorey, Clare Dunning, Stefano Negro +1

This review describes a link between Lax operators, embedded surfaces and Thermodynamic Bethe Ansatz equations for integrable quantum field theories. This surprising connection bet…

hep-th2018★ 25 cited

Vortices and magnetic impurities

Jennifer Ashcroft, Steffen Krusch

Ginzburg-Landau vortices in superconductors attract or repel depending on whether the value of the coupling constant is less than 1 or larger than 1. At critical coupling it was pr…

hep-th2017★ 10 cited

The BPS sectors of the Skyrme model and their non-BPS extensions

C. Adam, D. Foster, S. Krusch +1

Two recently found coupled BPS submodels of the Skyrme model are further analyzed. Firstly, we provide a geometrical formulation of the submodels in terms of the eigenvalues of the…

hep-th2016★ 13 cited

Head butting sheep: Kink Collisions in the Presence of False Vacua

Jennifer Ashcroft, Minoru Eto, Mareike Haberichter +2

We investigate numerically kink collisions in a dimensional scalar field theory with multiple vacua. The domain wall model we are interested in involves two scalar fields and…

hep-th2015★ 23 cited

The volume of a soliton

C. Adam, M. Haberichter, A. Wereszczynski

There exists, in general, no unique definition of the size (volume, area, etc., depending on dimension) of a soliton. Here we demonstrate that the geometric volume (area etc.) of a…

hep-th2015★ 36 cited

Skyrme models and nuclear matter equation of state

Christoph Adam, Mareike Haberichter, Andrzej Wereszczynski

We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it o…

hep-th2015★ 9 cited

Tunneling decay of false domain walls: the silence of the lambs

Mareike Haberichter, Richard MacKenzie, M. B. Paranjape +1

We study the decay of "false" domain walls, which are metastable states of the quantum theory where the true vacuum is trapped inside the wall, with the false vacuum outside. We co…

hep-th2015★ 12 cited

Baby Skyrme models without a potential term

Jennifer Ashcroft, Mareike Haberichter, Steffen Krusch

We develop a one-parameter family of static baby Skyrme models that do not require a potential term to admit topological solitons. This is a novel property as the standard baby Sky…

hep-th2014★ 22 cited

Scattering of Skyrmions

David Foster, Steffen Krusch

In this paper, we present a detailed study of Skyrmion-Skyrmion scattering for two Skyrmions in the attractive channel where we observe two different scattering regimes. For…

hep-th2014

Moduli Spaces of Lumps on Real Projective Space

Steffen Krusch, Abera A. Muhamed

Harmonic maps that minimise the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject…

hep-th2014★ 27 cited

Classically isospinning Skyrmion solutions

Richard A. Battye, Mareike Haberichter, Steffen Krusch

We investigate how isospin affects the geometrical shape and energy of classical soliton solutions of topological charges in the Skyrme model. The novel approach in our w…

hep-th2013★ 30 cited

Isospinning baby Skyrmion solutions

Richard A. Battye, Mareike Haberichter

We perform full two-dimensional (2D) numerical relaxations of isospinning soliton solutions in the baby Skyrme model in which the global symmetry is broken by the 2D analogu…

hep-th2013★ 9 cited

Negative Baryon density and the Folding structure of the B=3 Skyrmion

David Foster, Steffen Krusch

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have i…

hep-th2012★ 4 cited

Quantum lump dynamics on the two-sphere

S. Krusch, J. M. Speight

It is well known that the low-energy classical dynamics of solitons of Bogomol'nyi type is well approximated by geodesic motion in M_n, the moduli space of static n-solitons. There…

hep-th2010★ 20 cited

Dynamics of multi-kinks in the presence of wells and barriers

Stephen W. Goatham, Lucy E. Mannering, Rebecca Hann +1

Sine-Gordon kinks are a much studied integrable system that possesses multi-soliton solutions. Recent studies on sine-Gordon kinks with space-dependent square-well-type potentials…

hep-th2009★ 2 cited

Fermions, Skyrmions and the 3-Sphere

Stephen W. Goatham, Steffen Krusch

This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalised angul…

hep-th2009★ 17 cited

PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials

Patrick Dorey, Clare Dunning, Anna Lishman +1

We study a three-parameter family of PT-symmetric Hamiltonians, related via the ODE/IM correspondence to the Perk-Schultz models. We show that real eigenvalues merge and become com…

hep-th2009★ 19 cited

Exact moduli space metrics for hyperbolic vortices

Steffen Krusch, Martin Speight

Exact metrics on some totally geodesic submanifolds of the moduli space of static hyperbolic N-vortices are derived. These submanifolds, denoted Σ_{n,m}, are spaces of C_n-invarian…

hep-th2009★ 25 cited

From PT-symmetric quantum mechanics to conformal field theory

Patrick Dorey, Clare Dunning, Roberto Tateo

One of the simplest examples of a PT-symmetric quantum system is the scaling Yang-Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a…

hep-th2008★ 6 cited

On the ODE/IM correspondence for minimal models

Patrick Dorey, Clare Dunning, Ferdinando Gliozzi +1

Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c<1 emerge naturally from the monodromy properties of certain families of…

hep-th2007★ 280 cited

The ODE/IM Correspondence

Patrick Dorey, Clare Dunning, Roberto Tateo

This article reviews a recently-discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects…

hep-th2007★ 69 cited

Pseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras

Patrick Dorey, Clare Dunning, Davide Masoero +2

The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models relate…