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Geometric aspects of the ODE/IM correspondence (2020)
Journal Article
Dorey, P. E., Dunning, C., Negro, S., & Tateo, R. (2020). Geometric aspects of the ODE/IM correspondence. Journal of Physics A: Mathematical and Theoretical, 53(2), Article 223001. https://doi.org/10.1088/1751-8121/ab83c9

This review describes a link between Lax operators, embedded surfaces and Thermodynamic Bethe Ansatz equations for integrable quantum field theories. This surprising connection between classical and quantum models is undoubtedly one of the most strik... Read More about Geometric aspects of the ODE/IM correspondence.

Resonant kink-antikink scattering through quasinormal modes (2018)
Journal Article
Dorey, P., & Romańczukiewicz, T. (2018). Resonant kink-antikink scattering through quasinormal modes. Physics Letters B, 779, 117-123. https://doi.org/10.1016/j.physletb.2018.02.003

We investigate the role that quasinormal modes can play in kink–antikink collisions, via an example based on a deformation of the ϕ4 model. We find that narrow quasinormal modes can store energy during collision processes and later return it to the t... Read More about Resonant kink-antikink scattering through quasinormal modes.

Boundary scattering in the ϕ4 model (2017)
Journal Article
Dorey, P., Halavanau, A., Mercer, J., Romanczukiewicz, T., & Shnir, Y. (2017). Boundary scattering in the ϕ4 model. Journal of High Energy Physics, 2017(5), Article 107. https://doi.org/10.1007/jhep05%282017%29107

We study boundary scattering in the ϕ4 model on a half-line with a oneparameter family of Neumann-type boundary conditions. A rich variety of phenomena is observed, which extends previously-studied behaviour on the full line to include regimes of nea... Read More about Boundary scattering in the ϕ4 model.

A Bound on the Pseudospectrum for a Class of Non-normal Schrödinger Operators (2016)
Journal Article
Dondl, P., Dorey, P., & Rossler, F. (2017). A Bound on the Pseudospectrum for a Class of Non-normal Schrödinger Operators. Applied mathematics research express, 2017(2), 271-296. https://doi.org/10.1093/amrx/abw011

We are concerned with the non-normal Schrödinger operator H=−Δ+VH=−Δ+V on L2(Rn)L2(Rn) , where V∈W1,∞loc(Rn)V∈Wloc1,∞(Rn) and ReV(x)≥c∣x∣2−dReV(x)≥c∣x∣2−d for some c,d>0c,d>0 . The spectrum of this operator is discrete and its real part is bounded be... Read More about A Bound on the Pseudospectrum for a Class of Non-normal Schrödinger Operators.

Roaming form factors for the tricritical to critical Ising flow (2016)
Journal Article
Horváth, D., Dorey, P., & Takács, G. (2016). Roaming form factors for the tricritical to critical Ising flow. Journal of High Energy Physics, 2016(7), Article 051. https://doi.org/10.1007/jhep07%282016%29051

We study the massless flows described by the staircase model introduced by Al.B. Zamolodchikov through the analytic continuation of the sinh-Gordon S-matrix, focusing on the renormalisation group flow from the tricritical to the critical Ising model.... Read More about Roaming form factors for the tricritical to critical Ising flow.

Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions (2016)
Journal Article
Arthur, R., Dorey, P., & Parini, R. (2016). Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions. Journal of Physics A: Mathematical and Theoretical, 49(16), Article 165205. https://doi.org/10.1088/1751-8113/49/16/165205

We explore boundary scattering in the sine-Gordon model with a non-integrable family of Robin boundary conditions. The soliton content of the field after collision is analysed using a numerical implementation of the direct scattering problem associat... Read More about Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions.

Form factor relocalisation and interpolating renormalisation group flows from the staircase model (2015)
Journal Article
Dorey, P., Siviour, G., & Takács, G. (2015). Form factor relocalisation and interpolating renormalisation group flows from the staircase model. Journal of High Energy Physics, 2015(3), Article 054. https://doi.org/10.1007/jhep03%282015%29054

We investigate the staircase model, introduced by Aliosha Zamolodchikov through an analytic continuation of the sinh-Gordon S-matrix to describe interpolating flows between minimal models of conformal field theory in two dimensions. Applying the form... Read More about Form factor relocalisation and interpolating renormalisation group flows from the staircase model.