@article { , title = {Real-time fermions for baryogenesis simulations}, abstract = {We study how to numerically simulate quantum fermions out of thermal equilibrium, in the context of electroweak baryogenesis. We find that by combining the lattice implementation of Aarts and Smit [1] with the "low cost" fermions of Borsanyi and Hindmarsh [2], we are able to describe the dynamics of a classical bosonic system coupled to quantum fermions, that correctly reproduces anomalous baryon number violation. To demonstrate the method, we apply it to the 1+1 dimensional axial U(1) model, and perform simulations of a fast symmetry breaking transition. Compared to solving all the quantum mode equations as in [1], we find that this statistical approach may lead to a significant gain in computational time, when applied to 3+1 dimensional physics.}, doi = {10.1007/JHEP07(2011)066}, eissn = {1029-8479}, issue = {7}, journal = {Journal of High Energy Physics}, note = {Estimated date of acceptance.}, publicationstatus = {Published}, publisher = {Springer Verlag}, url = {https://nottingham-repository.worktribe.com/output/707786}, volume = {2011}, year = {2011}, author = {Saffin, Paul M. and Tranberg, Anders} }