E. Corrigan - Academia.edu (original) (raw)

Papers by E. Corrigan

Теоретическая и математическая физика, 2012

Дефекты присутствуют в природе повсюду, например в виде дислокаций, ударных потрясений, каналов и... more Дефекты присутствуют в природе повсюду, например в виде дислокаций, ударных потрясений, каналов или примесей различного типа, и их описание составляет важную часть любой физической теории. Однако можно задаться следующим вопросом: дефекты какого типа являются разрешенными и каковы должны быть их свойства, если требуется поддерживать интегрируемость в рамках интегрируемой теории поля в двумерном пространстве-времени? Рассмотрены некоторые идеи и вопросы, связанные с этой проблемой, включая примеры интегрируемых дефектов и удивительной особой роли, которую играют закон сохранения энергии-импульса и преобразования Беклунда, а также рассеяние солитонов на дефектах и некоторые интересные эффекты в рамках модели синус-Гордон, дефекты в интегрируемой квантовой теории поля и построение матриц прохождения. В заключение сделаны замечания по поводу алгебраических подходов и направлений будущих исследований.

Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digi... more Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Bulletin of The London Mathematical Society, 1995

Journal of Otolaryngology - Head & Neck Surgery, 1972

Journal of Physics A: Mathematical and Theoretical, 2017

The main purpose of this paper is to extend results, which have been obtained previously to descr... more The main purpose of this paper is to extend results, which have been obtained previously to describe the classical scattering of solitons with integrable defects of type I, to include the much larger and intricate collection of finite-gap solutions defined in terms of generalised theta functions. In this context, it is generally not feasible to adopt a direct approach, via ansätze for the fields to either side of the defect tuned to satisfy the defect sewing conditions. Rather, essential use is made of the fact that the defect sewing conditions themselves are intimately related to Bäcklund transformations in order to set up a strategy to enable the calculation of the field on one side by suitably transforming the field on the other side. The method is implemented using Darboux transformations and illustrated in detail for the sine-Gordon and KdV models. An exception, treatable by both methods, indirect and direct, is provided by the genus 1 solutions. These can be expressed in terms of Jacobi elliptic functions, which satisfy a number of useful identities of relevance to this problem. There are new features to the solutions obtained in the finite-gap context but, in all cases, if a (multi)soliton limit is taken within the finite-gap solutions previously known results are recovered.

Talks given at the workshop ``Frontiers in Quantum Field Theory'', held in Urumqi, Xinjia... more Talks given at the workshop ``Frontiers in Quantum Field Theory'', held in Urumqi, Xinjiang Uygur Autonomous Region, People's Republic of China, 11-19 August 1996.

Symmetries and Groups in Contemporary Physics, 2013

Progress of Theoretical Physics Supplement, 1995

The question of the integrability of real-coupling ane toda eld theory on a half line is discusse... more The question of the integrability of real-coupling ane toda eld 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 particular, among the cases treated so far, e 1

Physics Reports, 1979

Not Available Laboratoire propre du C.N.R.S., associé à l'Ecole Normale Supérieure et à l... more Not Available Laboratoire propre du C.N.R.S., associé à l'Ecole Normale Supérieure et à l'Université de Paris-Sud. Postal address: 24, rue Lhomond, 75231 Paris Cedex 05, France.

Physics Letters B, 1979

The classical non-local currents for the two-dimensional supersymmetric non-linear o-model are co... more The classical non-local currents for the two-dimensional supersymmetric non-linear o-model are constructed recursively. They axe polynomial in the canonical fields and generalize naturally the corresponding currents of the constituent Gross-Neveu and ordinary a-models.

Physical Review D, 1983

Nahm's equations are solved for the cases corresponding to the spherically symmetric SU(N) monopo... more Nahm's equations are solved for the cases corresponding to the spherically symmetric SU(N) monopoles of %'ilkinson and Bais and their solutions reconstructed using his adaptation of the Atiyah-Drinfeld-Hitchin-Manin construction for self-dual gauge fields. The analysis of this class of solutions reveals the remarkably intricate structure of the construction.

Nuclear Physics B, 1991

Some perturbative features of affine Toda field theory are explored, in particular the mechanisms... more Some perturbative features of affine Toda field theory are explored, in particular the mechanisms responsible for the first-, second-and third-order poles in the conjectured exact factorisable S-matrices in the ADE series of models. It is found that generic collections of Feynman diagrams are responsible for the leading order poles in any of the theories. However, the complexity is such that it has not yet proved possible to analyse all the singularities that occur up to order twelve. Some comments are made on an associated tiling problem and on an interesting connection between the affine Toda couplings and the Clebsch-Gordan decomposition of tensor products .

Nuclear Physics B, 1972

The N-reggeon vertex in constructed for a large class of factorizable dual resonance models by re... more The N-reggeon vertex in constructed for a large class of factorizable dual resonance models by representing the constituent Möbius transformations in different unitary irreducible representations of SU(1, 1). The conventional model and the model of Neveu and Schwarz emerge as special cases. The requirement of the existence of an infinite set of gauge operators restricts the number of representations that

Nuclear Physics B, 1978

The recent general solution by Atiyah, Hitchin, Drinfeld and Manin of the sell-duality equations ... more The recent general solution by Atiyah, Hitchin, Drinfeld and Manin of the sell-duality equations for an arbitrary compact classical group is discussed. The Green function for a scalar field transforming as a vector under the group is shown to take an elegant form in the background field of the general self-dual solution. The massless solutions of the Dirac equation, for this representation of the group, are also explicitly exhibited.

International Journal of Modern Physics A, 2001

The supersymmetric sinh–Gordon model on a half-line with integrable boundary conditions is consid... more The supersymmetric sinh–Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.