Speaker
Rens Roosenstein
(University of Cape Town)
Description
Motivated by the recent small systems collisions at the LHC, we present exact first principles results for the finite-system-size corrections to the pressure in both massless and massive non-interacting scalar field theories, highlighting the deviations from the Stefan-Boltzmann limit. The methods used to derive this result rely on a rigorous formulation of the path integral partition function on a finite discrete lattice, with particular focus on ensuring absolute analytical control over every step of the derivation. Finally, we discuss the extension of this rigorous framework toward interacting theories, outlining the path toward computing next-to-leading order (NLO) corrections in a massive $\phi^4$ theory.
Author
Rens Roosenstein
(University of Cape Town)
Co-author
William Horowitz
(University of Cape Town)