Skip to main content

Research Repository

Advanced Search

Outputs (82)

Oscillons in gapless theories (2024)
Journal Article
Dorey, P., Romańczukiewicz, T., Shnir, Y., & Wereszczyński, A. (2024). Oscillons in gapless theories. Physical Review D, 109(8), Article 085017. https://doi.org/10.1103/physrevd.109.085017

We show that large scale oscillons, i.e., quasiperiodic, long-living particlelike solutions, may exist in massless theories, too. Their existence is explained using an effective (smeared) mass threshold which takes into account nonlinear (finite) pe... Read More about Oscillons in gapless theories.

From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions (2023)
Journal Article
Dorey, P., & Polvara, D. (2023). From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions. Journal of High Energy Physics, 2023(10), Article 177. https://doi.org/10.1007/jhep10%282023%29177

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams [1]. Using this method on the ADE series of Toda models, we computed the double- and single-pole co... Read More about From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions.

Collisions of weakly-bound kinks in the Christ-Lee model (2023)
Journal Article
Dorey, P., Gorina, A., Romańczukiewicz, T., & Shnir, Y. (2023). Collisions of weakly-bound kinks in the Christ-Lee model. Journal of High Energy Physics, 2023(9), Article 45. https://doi.org/10.1007/jhep09%282023%29045

We investigate soliton collisions in a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the param... Read More about Collisions of weakly-bound kinks in the Christ-Lee model.

Multikink scattering in the ϕ6 model revisited (2022)
Journal Article
Adam, C., Dorey, P., Martín-Caro, A. G., Huidobro, M., Oles, K., Romanczukiewicz, T., …Wereszczynski, A. (2022). Multikink scattering in the ϕ6 model revisited. Physical Review D, 106(12), Article 125003. https://doi.org/10.1103/physrevd.106.125003

Antikink-kink (KK) collisions in the ¯ ϕ6 model exhibit resonant scattering although the ϕ6 kinks do not support any bound states to which energy could be transferred. In P. Dorey et al. [Kink-Antikink Collisions in the ϕ6 Model, Phys. Rev. Lett. 107... Read More about Multikink scattering in the ϕ6 model revisited.

The SAGEX Review on scattering amplitudes (2022)
Journal Article
Travaglini, G., Brandhuber, A., Dorey, P. E., McLoughlin, T. A., Abreu, S., Bern, Z., …White, C. (2022). The SAGEX Review on scattering amplitudes. Journal of Physics A: Mathematical and Theoretical, 55(44), Article 443001. https://doi.org/10.1088/1751-8121/ac8380

This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an overview of the field, from basic aspects to a selection of current (2... Read More about The SAGEX Review on scattering amplitudes.

From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients (2022)
Journal Article
Dorey, P., & Polvara, D. (2022). From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients. Journal of High Energy Physics, 2022(9), Article 220. https://doi.org/10.1007/jhep09%282022%29220

Various features of the even order poles appearing in the S-matrices of simply-laced affine Toda field theories are analysed in some detail. In particular, the coefficients of first- and second-order singularities appearing in the Laurent expansion o... Read More about From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients.

Tree level integrability in 2d quantum field theories and affine Toda models (2022)
Journal Article
Dorey, P., & Polvara, D. (2022). Tree level integrability in 2d quantum field theories and affine Toda models. Journal of High Energy Physics, 2022(2), https://doi.org/10.1007/jhep02%282022%29199

We investigate the perturbative integrability of massive (1+1)-dimensional bosonic quantum field theories, focusing on the conditions for them to have a purely elastic S-matrix, with no particle production and diagonal scattering, at tree level. For... Read More about Tree level integrability in 2d quantum field theories and affine Toda models.

Resonance structures in kink-antikink collisions in a deformed sine-Gordon model (2021)
Journal Article
Dorey, P., Gorina, A., Perapechka, I., Romańczukiewicz, T., & Shnir, Y. (2021). Resonance structures in kink-antikink collisions in a deformed sine-Gordon model. Journal of High Energy Physics, 2021(9), Article 145. https://doi.org/10.1007/jhep09%282021%29145

We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ4 model, and a ϕ6-like model with three degenerate vacua. We find a rich variety of behaviours, including integrabilit... Read More about Resonance structures in kink-antikink collisions in a deformed sine-Gordon model.

Staccato radiation from the decay of large amplitude oscillons (2020)
Journal Article
Dorey, P., Romanczukiewicz, T., & Shnir, Y. (2020). Staccato radiation from the decay of large amplitude oscillons. Physics Letters B, 806, Article 135497. https://doi.org/10.1016/j.physletb.2020.135497

We study the decay of large amplitude, almost periodic breather-like states in a deformed sine-Gordon model in one spatial dimension. We discover that these objects decay in a staggered fashion via a series of transitions, during which higher harmoni... Read More about Staccato radiation from the decay of large amplitude oscillons.

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.

On the absence of reflection in AdS(4) / CFT(3). (2010)
Journal Article
Ahn, C., Dorey, P., & Nepomechie, R. (2010). On the absence of reflection in AdS(4) / CFT(3). Journal of High Energy Physics, 2010(1), 1-10

A noteworthy feature of the S-matrix which has been proposed for AdS 4/CFT 3 is that the scattering of an A-particle (“soliton”) with a B-particle (“antisoliton”) is reflectionless. We argue, following Zamolodchikov, that the absence of reflection is... Read More about On the absence of reflection in AdS(4) / CFT(3)..

Exact g-function flow between conformal field theories. (2010)
Journal Article
Dorey, P., Rim, C., & Tateo, R. (2010). Exact g-function flow between conformal field theories. Nuclear Physics B, 834(3), 485-501. https://doi.org/10.1016/j.nuclphysb.2010.03.010

Exact equations are proposed to describe g-function flows in integrable boundary quantum field theories which interpolate between different conformal field theories in their ultraviolet and infrared limits, extending previous work where purely massiv... Read More about Exact g-function flow between conformal field theories..

On the ODE/IM correspondence for minimal models. (2008)
Journal Article
Dorey, P., Dunning, C., Gliozzi, F., & Tateo, R. (2008). On the ODE/IM correspondence for minimal models. Journal of Physics A: Mathematical and Theoretical, 41(13), Article 132001. https://doi.org/10.1088/1751-8113/41/13/132001

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 ordinary differential equations.

ABCD and ODEs (2007)
Presentation / Conference Contribution
Dorey, P., Dunning, C., Masoero, D., Suzuki, J., & Tateo, R. (2007). ABCD and ODEs.

Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras (2007)
Journal Article
Dorey, P., Dunning, C., Masoero, D., Suzuki, J., & Tateo, R. (2007). Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras. Nuclear Physics B, 772(3), 249-289. https://doi.org/10.1016/j.nuclphysb.2007.02.029

The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras. New families of pseudo-differentia... Read More about Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras.

A T-duality interpretation of the relationship between massive and massless magnonic TBA systems. (2006)
Journal Article
Dorey, P., & Miramontes, J. (2006). A T-duality interpretation of the relationship between massive and massless magnonic TBA systems. Journal of Statistical Mechanics: Theory and Experiment, 2006(12), Article P12016. https://doi.org/10.1088/1742-5468/2006/12/p12016

We propose an alternative understanding of the relationship between massive and massless magnonic TBA systems, using the T-duality symmetries of the Homogeneous sine–Gordon models. This is shown to be in agreement with a previous treatment by Dorey,... Read More about A T-duality interpretation of the relationship between massive and massless magnonic TBA systems..

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.

Mass scales and crossover phenomena in the homogeneous sine-Gordon models (2004)
Journal Article
Dorey, P., & Miramontes, J. L. (2004). Mass scales and crossover phenomena in the homogeneous sine-Gordon models. Nuclear Physics B, 697(3), 405-461. https://doi.org/10.1016/j.nuclphysb.2004.07.019

The finite-size behaviours of the homogeneous sine-Gordon models are analysed in detail, using the thermodynamic Bethe ansatz. Crossovers are observed which allow scales associated with both stable and unstable quantum particles to be picked up. By i... Read More about Mass scales and crossover phenomena in the homogeneous sine-Gordon models.

Integrable quantum field theory with boundaries: The exact g-function (2004)
Journal Article
Dorey, P., Fioravanti, D., Rim, C., & Tateo, R. (2004). Integrable quantum field theory with boundaries: The exact g-function. Nuclear Physics B, 696(3), 445-467. https://doi.org/10.1016/j.nuclphysb.2004.06.045

The g-function was introduced by Affleck and Ludwig in the context of critical quantum systems with boundaries. In the framework of the thermodynamic Bethe ansatz (TBA) method for relativistic scattering theories, all attempts to write an exact integ... Read More about Integrable quantum field theory with boundaries: The exact g-function.

Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics (2001)
Journal Article
Dorey, P., Dunning, C., & Tateo, R. (2001). Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics. Journal of Physics A: Mathematical and General, 34(28), 5679-5704. https://doi.org/10.1088/0305-4470/34/28/305

The one-dimensional Schrödinger equation for the potential x6 + αx2 + l(l + 1)/x2 has many interesting properties. For certain values of the parameters l and α the equation is in turn supersymmetric (Witten) and quasi-exactly solvable (Turbiner), and... Read More about Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics.

The ODE/IM correspondence (2000)
Presentation / Conference Contribution
Dorey, P., Dunning, C., & Tateo, R. (2000, December). The ODE/IM correspondence

Exact S matrices (1996)
Presentation / Conference Contribution
Dorey, P. (1996, December). Exact S matrices

Classically integrable boundary conditions for affine Toda field theories (1995)
Journal Article
Bowcock, P., Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Classically integrable boundary conditions for affine Toda field theories. Nuclear Physics B, 445(2-3), 469-500. https://doi.org/10.1016/0550-3213%2895%2900153-j

Boundary conditions compatible with classical integrability are studied both directly, using an approach based on the explicit construction of conserved quantities, and indirectly by first developing a generalisation of the Lax pair idea. The latter... Read More about Classically integrable boundary conditions for affine Toda field theories.

Aspects of affine Toda field theory on a half line. (1995)
Journal Article
Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Aspects of affine Toda field theory on a half line. Progress of theoretical physics. Supplement, 118, 143-164. https://doi.org/10.1143/ptps.118.143

The equation of the integrability of real-coupling affine Toda field theory on a half line is discussed. It is shown, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particul... Read More about Aspects of affine Toda field theory on a half line..

A remark on the coupling dependence in affine Toda field theories (1993)
Journal Article
Dorey, P. (1993). A remark on the coupling dependence in affine Toda field theories. Physics Letters B, 312(3), 291-298. https://doi.org/10.1016/0370-2693%2893%2991083-y

The affine Toda field theories based on the non-simply-laced Lie algebras are discussed. By rewriting the S-matrix formulae found by Delius et al., a universal form for the coupling-constant dependence of these models is obtained, and related to vari... Read More about A remark on the coupling dependence in affine Toda field theories.

Aspects of affine Toda field theory (1990)
Presentation / Conference Contribution
Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1990, December). Aspects of affine Toda field theory