Staff profile

• conformal and integrable field theories

• 2000: Membership of Professional Body: 'Fellow of the Institute of Physics'
• 2000: National and International Collaboration: Current/recent collaborations (ie, within the 2001-present period) with R.Tateo (Torino, Italy), C.Dunning (Kent), J.L.Miramontes (USC, Spain), J.Suzuki (Shizuoka U., Japan), C.Rim (Chonbuk National U., Korea), D.Fioravanti (Bologna, Italy), Tomasz Romanczukiewicz (Krakow, Poland), Yasha Shnir (Dubna, Russia)
• 2000: Editorial Duties: Member of the editorial boards of Journal of Physics A, Journal of High Energy Physics (JHEP), and Journal of Statistical Mechanics: Theory and Experiment (JSTAT)
• 2000: Committee Duties: Member of the EPSRC peer-review college
• 2000: 'Network': North British Mathematical Physics Seminar, 3 one-day meetings annually between Edinburgh, Heriot-Watt, York and Durham Universities, funded by an LMS Scheme 3 grant. EUCLID RTN (FP5) European network, grant RTN2-2001-00393, four years from October 2002. I am the Scientist-in charge for the Durham node of this network, which is coordinated by Ed Corrigan in York. Also involved in the ABC-KLM meetings, an EPSRC-funded UK network (but this most probably has just one more meeting to run).

Authored book

• Bender, C. M., Dorey, P. E., Dunning, C., Fring, A., Hook, D. W., Jones, H. F., Kuzhel, S., Lévai, G., & Tateo, R. (2019). PT Symmetry: In Quantum and Classical Physics. https://doi.org/10.1142/q0178

Conference Paper

• Dorey, P., Dunning, C., Masoero, D., Suzuki, J., & Tateo, R. (2007, December). ABCD and ODEs. Presented at ICMP 2006, Rio de Janeiro, Brazil
• Dorey, P., Dunning, C., Millican-Slater, A., & Tateo, R. (2003, December). Differential equations and the Bethe ansatz
• Dorey, P., & Miramontes, J. L. (2002, July). Aspects of the homogeneous sine-Gordon models. Presented at Workshop on Integrable Theories, Solitons and Duality, Sao Paulo
• Dorey, P. (2001, December). Boundary integrable quantum field theories
• Dorey, P., Dunning, C., & Tateo, R. (2000, December). The ODE/IM correspondence
• Dorey, P., & others. (2000, December). Finite size effects in perturbed boundary conformal field theories
• Dorey, P., Dunning, C., & Tateo, R. (2000, December). Ordinary differential equations and integrable quantum field theories
• Dorey, P. (1996, December). Exact S matrices
• Dorey, P. (1992, December). Hidden geometrical structures in integrable models
• Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1991, December). Affine Toda field theory: S matrix versus perturbation
• Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1990, December). Aspects of affine Toda field theory
• Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1989, December). ASPECTS OF PERTURBED CONFORMAL FIELD THEORY, AFFINE TODA FIELD THEORY AND EXACT S MATRICES

Edited book

• Dorey, P., Korchemsky, G., Nekrasov, N., Schomerus, V., Serban, D., & Cugliandolo, L. (Eds.). (2019). Integrability: From Statistical Systems to Gauge Theory. Oxford University Press

Journal Article

• Ciurla, D., Dorey, P., Romańczukiewicz, T., & Shnir, Y. (2024). Perturbations of Q-balls: from spectral structure to radiation pressure. Journal of High Energy Physics, 2024(7), Article 196. https://doi.org/10.1007/jhep07%282024%29196
• 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
• 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
• 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
• Adam, C., Dorey, P., Martín-Caro, A. G., Huidobro, M., Oles, K., Romanczukiewicz, T., Shnir, Y., & 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
• Travaglini, G., Brandhuber, A., Dorey, P. E., McLoughlin, T. A., Abreu, S., Bern, Z., Bjerrum-Bohr, N. E. J., Blümlein, J., Britto, R., Carrasco, J. J. M., Chicherin, D., Chiodaroli, M., Damgaard, P. H., Del Duca, V., Dixon, L. J., Dorigoni, D., Duhr, C., Geyer, Y., Green, M. B., Herrmann, E., …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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• Dorey, P., Faldella, S., Negro, S., & Tateo, R. (2013). The Bethe Ansatz and the Tzitzéica-Bullough-Dodd equation. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 371(1989), Article 20120052. https://doi.org/10.1098/rsta.2012.0052
• Dorey, P., Dunning, C., & Tateo, R. (2012). Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations. Journal of Physics A: Mathematical and Theoretical, 45(44), https://doi.org/10.1088/1751-8113/45/44/444013
• Dorey, P., Tateo, R., & Wilbourne, R. (2011). Exact g-function flows from the staircase model. Nuclear Physics B, 843(3), 724-752. https://doi.org/10.1016/j.nuclphysb.2010.10.009
• Dorey, P., Mersh, K., Romanczukiewicz, T., & Shnir, Y. (2011). Kink-Antikink Collisions in the ϕ6 Model. Physical Review Letters, 107(9), Article 091602. https://doi.org/10.1103/physrevlett.107.091602
• 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
• 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
• Dorey, P., Dunning, C., Lishman, A., & Tateo, R. (2009). PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials. Journal of Physics A: Mathematical and General, 42(46), Article 465302. https://doi.org/10.1088/1751-8113/42/46/465302
• Dorey, P., Dunning, C., & Tateo, R. (2009). From PT-symmetric quantum mechanics to conformal field theory. Pramana - Journal of Physics, 73, 217-239. https://doi.org/10.1007/s12043-009-0114-8
• 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
• 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
• Dorey, P., Dunning, C., & Tateo, R. (2007). The ODE/IM Correspondence. Journal of Physics A: Mathematical and Theoretical, 40, R205-R283. https://doi.org/10.1088/1751-8113/40/32/r01
• 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
• 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
• Dorey, P., Lishman, A., Rim, C., & Tateo, R. (2005). Reflection factors and exact g-functions for purely elastic scattering theories. Nuclear Physics B, 744, 239-276. https://doi.org/10.1016/j.nuclphysb.2006.02.043
• 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
• 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
• Dorey, P., Dunning, C., & Tateo, R. (2004). A reality proof in PT-symmetric quantum mechanics. Czechoslovak Journal of Physics, 54, 35-41
• Dorey, P., Suzuki, J., & Tateo, R. (2004). Finite lattice Bethe ansatz systems and the Heun equation. Journal of Physics A: Mathematical and General, 37, 2047-2062. https://doi.org/10.1088/0305-4470/37/6/006
• Dorey, P., Pocklington, A., & Tateo, R. (2003). Integrable aspects of the scaling q-state Potts models. II: Finite-size effects. Nuclear Physics B, 661, 464-513
• Dorey, P., Pocklington, A., & Tateo, R. (2003). Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure. Nuclear Physics B, 661, 425-463
• 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
• Dorey, P., Pillin, M., Tateo, R., & Watts, G. (2001). One-point functions in perturbed boundary conformal field theories. Nuclear Physics B, 594, 625-659
• Dorey, P., Dunning, C., & Tateo, R. (2001). Supersymmetry and the spontaneous breakdown of PT symmetry. Journal of Physics A: Mathematical and Theoretical, 34,
• Dorey, P., Dunning, C., & Tateo, R. (2000). New families of flows between two-dimensional conformal field theories. Nuclear Physics B, 578, 699-727
• Dorey, P., & Tateo, R. (2000). Differential equations and integrable models: The SU(3) case. Nuclear Physics B, 571, 583-606
• Mattsson, P., & Dorey, P. (2000). Boundary spectrum in the sine-Gordon model with Dirichlet boundary conditions. Journal of Physics A: Mathematical and General, 33, 9065-9094. https://doi.org/10.1088/0305-4470/33/49/304
• Dorey, P., Dunning, C., & Tateo, R. (2000). Differential equations for general SU(n) Bethe ansatz systems. Journal of Physics A: Mathematical and Theoretical, 33, 8427-8442
• Dorey, P., Runkel, I., Tateo, R., & Watts, G. (2000). g-function flow in perturbed boundary conformal field theories. Nuclear Physics B, 578, 85-122
• Dorey, P., & Tateo, R. (1999). On the relation between Stokes multipliers and the T-Q systems of conformal field theory. Nuclear Physics B, 563, 573-602. https://doi.org/10.1016/s0550-3213%2899%2900609-4
• Dorey, P., Tateo, R., & Watts, G. (1999). Generalisations of the Coleman-Thun mechanism and boundary reflection factors. Physics Letters B, 448, 249-256
• Dorey, P., & Tateo, R. (1999). Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations. Journal of Physics A: Mathematical and Theoretical, 32, L419-L425
• Dorey, P., Provero, P., Tateo, R., & Vinti, S. (1999). On the phase diagram of the discrete $Z_6$ spin models. Journal of Physics A: Mathematical and Theoretical, 32, L151-L158
• Dorey, P., Pocklington, A., Tateo, R., & Watts, G. (1998). TBA and TCSA with boundaries and excited states. Nuclear Physics B, 525, 641-663. https://doi.org/10.1016/s0550-3213%2898%2900339-3
• Dorey, P., & Tateo, R. (1998). Excited states in some simple perturbed conformal field theories. Nuclear Physics B, 515, 575-623. https://doi.org/10.1016/s0550-3213%2897%2900838-9
• Dorey, P., & Tateo, R. (1996). Excited states by analytic continuation of TBA equations. Nuclear Physics B, 482, 639-659. https://doi.org/10.1016/s0550-3213%2896%2900516-0
• Dorey, P., Tateo, R., & Thompson, K. E. (1996). Massive and massless phases in self-dual $Z_N$ spin models: some exact results from the thermodynamic Bethe ansatz. Nuclear Physics B, 470, 317-368. https://doi.org/10.1016/0550-3213%2896%2900183-6
• 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
• 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
• Corrigan, E., Dorey, P., Rietdijk, R., & Sasaki, R. (1994). Affine Toda field theory on a half line. Physics Letters B, B333, 83-91. https://doi.org/10.1016/0370-2693%2894%2991011-1
• 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
• Dorey, P., & Ravanini, F. (1993). Generalizing the staircase models. Nuclear Physics B, B406, 708-726. https://doi.org/10.1016/0550-3213%2893%2990007-c
• Dorey, P. (1993). Partition functions, intertwiners and the Coxeter element. International Journal of Modern Physics A, A8, 193-208
• Corrigan, E., Dorey, P., & Sasaki, R. (1993). On a generalized bootstrap principle. Nuclear Physics B, B408, 579-599. https://doi.org/10.1016/0550-3213%2893%2990381-x
• Dorey, P. E., & Ravanini, F. (1993). Staircase models from affine Toda field theory. International Journal of Modern Physics A, A8, 873-894
• Dorey, P. (1992). Root systems and purely elastic S matrices. 2. Nuclear Physics B, B374, 741-762. https://doi.org/10.1016/0550-3213%2892%2990407-3
• Dorey, P. (1991). Root systems and purely elastic S matrices. Nuclear Physics B, B358, 654-676. https://doi.org/10.1016/0550-3213%2891%2990428-z
• Corrigan, E., & Dorey, P. (1991). A Representation of the exchange relation for affine Toda field theory. Physics Letters B, B273, 237-245. https://doi.org/10.1016/0370-2693%2891%2991677-n
• Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1991). Multiple poles and other features of affine Toda field theory. Nuclear Physics B, B356, 469-498. https://doi.org/10.1016/0550-3213%2891%2990317-q
• Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1990). Affine Toda Field Theory and Exact S Matrices. Nuclear Physics B, B338, 689-746. https://doi.org/10.1016/0550-3213%2890%2990648-w
• Braden, H., Corrigan, E., Dorey, P., & Sasaki, R. (1989). Extended Toda field theory and exact S-matrices. Physics Letters B, 227(3-4), 411-416. https://doi.org/10.1016/0370-2693%2889%2990952-0

Presentation

• Dorey, P., Dunning, C., & Tateo, R. (2004, December). Aspects of the ODE / IM correspondence
• Dorey, P., Dunning, C., & Tateo, R. (2002, December). The ODE/IM correspondence and PT-symmetric quantum mechanics