Dec 5 – 7, 2022
Europe/Paris timezone

Inhomogeneity of rotating gluon plasma and Tolman-Ehrenfest law in imaginary time

Dec 6, 2022, 11:00 AM
Amphi E030, bâtiment E2, rez-de-chaussée (Tours)

Amphi E030, bâtiment E2, rez-de-chaussée


Institut Denis Poisson Université de Tours Facultés des Sciences et Techniques Parc de Grandmont 37200 Tours FRANCE


Maxim Chernodub (CNRS, Université de Tours, France)


We present the results of first-principle numerical simulations of Euclidean SU(3) Yang-Mills plasma rotating with a high imaginary angular frequency. The rigid Euclidean rotation is introduced via ``rotwisted'' boundary conditions along imaginary time direction. The Polyakov loop in the co-rotating Euclidean reference frame shows the emergence of a spatially inhomogeneous confining-deconfining phase through a broad crossover transition. A continuation of our numerical results to Minkowski spacetime suggests that the gluon plasma, rotating at real angular frequencies, produces a new inhomogeneous phase possessing the confining phase near the rotation axis and the deconfinement phase in the outer regions. The inhomogeneous phase structure has a purely kinematic origin, rooted in the Tolman-Ehrenfest effect in a rotating medium. We also derive the Euclidean version of the Tolman-Ehrenfest law in imaginary time formalism and discuss two definitions of temperature at imaginary Euclidean rotation.

Presentation materials