• lattice
• numerical
• qcd
• quantum chromodynamics
• Roberge-Weiss endpoint

The main interests of this thesis are the effects on the Roberge-Weiss endpoint from a strong magnetic background. Simulations were made on the vertical line on which the RW transition takes place, distributed around the endpoint. Three different values of eB/T^2 were examined: 1.1 10^-4, 4.6 10^-5} and 3.5 10^-5. Lattices use the temporal extent of N_t=6 for the first two fields and 8 for the third. Different temporal extents are used to approach the continuum limit.
The Polyakov loop expectancy value and susceptibility are estimated, and their scaling behavior as the critical point is approached is examined. A finite size scaling approach is then used to extrapolate the found values to the continuum limit.
The order of transition is then estimated via both scaling relationships and the behavior of Markov chain histories. Results are then confronted with similar works.