Head: dr hab. Jerzy Przeszowski, prof. UwB
Room: 2031
Phone: 85-745 72 36
E-mail: j.przeszowski@uwb.edu.pl
Research has recently focused on the problem of nonequilibrium dynamics in various system described using hydrodynamic models, kinetic theory and through the AdS/CFT correspondence. An important mathematical aspect of this activity is the application of modern asymptotic methods and ideas of resurgence. The main physical application of these theoretical studies is the dynamics of Quark-Gluon Plasma created in ultrarelativistic nuclear collisions.(M.Spaliński)
Another research domain includes the quantization of the models and the theories with presence both the constraints and the interactions. Especially, the models with higher order derivatives are discussed. Among them, the light-front Yukawa model with higher order derivatives of the scalar field in D=1+3 dimensions is the main area of the investigations. The Ostrogradski method of the higher order derivatives treatment and the Dirac-Bergmann procedure for obtaining the (anti-) commutators consistent with the constraints (and thus embracing the interactions) are used here. The mathematical tools for such the classes of the problems include some functional and the algebraic methods. The new issue of this type of the problems will refer to the models with the scalar field higher order derivatives coupled with the fermionic ones.(J.Żochowski)
Research was also conducted on the use of smeared fields to describe classical and quantum field theory. The application of a new method of calculating Fourier transforms as Schwartz distributions made it possible to determine and study the properties of Pauli-Jordan functions as well-defined mathematical expressions.(J.Przeszowski)