The aim of this project is a generalization of field theories that are used in theoretical physics to describe matter and fundamental interactions to the case of topologically compact phase spaces. Fermionic and gauge fields are considered, including gravitational field in the formalism of Ashtekar variables. The studies are focused mainly on the case with spherical phase space, which provides a relation between relativistic field theories and spin systems considered in condensed matter physics. The developed approach is used as a description of both fundamental interactions and complex system. Application to  topological quantum computation is also explored.

Requirements:
1) PhD in theoretical physics 
2) Experience in the area of quantum gravity and quantum field theory. 
3) Advanced English in writing and speaking. 
4) Ability to work in a scientific group. 
5) Interdisciplinary scientific interests are welcome.

Research tasks:
- Compactification of the gauge field theories with the gauge groups U(1) and SU(2).
- Analysis of consequences of the phase space compactness in the Standard Model of particle physics. 
- Participation in the research devoted to construction of the compact phase space theory of gravity.  

Terms of employment: contract of employment
Duration: 12 months
Starting date: Fall 2019
Salary: according to NSC rates (10 000 PLN Pre-tax per month)

Applications (Curriculum vitae, list of publications, 2 letters of recommendation) should be sent to Dr Jakub Mielczarek via e-mail: jakub.mielczarek@uj.edu.pl with annotation “postdoc” until 20th of May, 2019.

Competition commencement date: 25th March, 2019
Applications can be filed till: 20th May, 2019
Decision regarding competition settlement shall be made till: 1st June, 2019