Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Subject: search.filters.subject.Minkowski space

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  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Particle Physics Processes in Cosmology Through an Effective Minkowski Space Formulation and the Limitations of the Method
    (Springer, 2021) Erdem, Recai; Gültekin, Kemal; Erdem, Recai; 04.05. Department of Pyhsics; 04. Faculty of Science; 01. Izmir Institute of Technology
    We introduce a method where particle physics processes in cosmology may be calculated by the usual perturbative flat space quantum field theory through an effective Minkowski space description at small time intervals provided that the running of the effective particle masses are sufficiently slow. We discuss the necessary conditions for the applicability of this method and illustrate the method through a simple example. This method has the advantage of avoiding the effects of gravitational particle creation in the calculation of rates and cross sections i.e. giving directly the rates and the cross sections due to the scatterings or the decay processes.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    Integrable Systems From Inelastic Curve Flows in 2-And 3-Dimensional Minkowski Space
    (Taylor & Francis, 2016) Alkan, Kıvılcım; Alkan, Kıvılcım; Anco, Stephen C.; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    Integrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2-and 3- dimensional Minkowski space. The derivation uses a Lorentzian version of a geometrical moving frame method which is known to yield the modified Korteveg-de Vries (mKdV) equation and the nonlinear Schrodinger (NLS) equation in 2- and 3- dimensional Euclidean space, respectively. In 2-dimensional Minkowski space, time-like/space-like inelastic curve flows are shown to yield the defocusing mKdV equation and its bi-Hamiltonian integrability structure, while inelastic null curve flows are shown to give rise to Burgers' equation and its symmetry integrability structure. In 3-dimensional Minkowski space, the complex defocusing mKdV equation and the NLS equation along with their bi-Hamiltonian integrability structures are obtained from timelike inelastic curve flows, whereas spacelike inelastic curve flows yield an interesting variant of these two integrable equations in which complex numbers are replaced by hyperbolic (split-complex) numbers.