Speaker: Michele Pepe (University of Milan Bicocca, INFN)
Title: The energy-momentum tensor in SU(3) Yang-Mills theory: from
renormalization to thermodynamics
Abstract: We construct an energy-momentum tensor on the lattice which satisfies
the appropriate Ward Identities and has the right trace anomaly in the
continuum limit. These relations come forth when the length of the box in
the temporal direction is finite, and they take a particularly simple form
if the coordinate and the periodicity axes are not aligned. We implement
the method for the SU(3) Yang-Mills theory and, by carrying out numerical
simulations, the renormalization constants of the tensor are determined
with a precision of roughly half a percent for values of the bare coupling
constant in the range 0 < g_0^2 < 1. The renormalization constants of the
energy momentum tensor provide also a new method to measure the
thermodynamic features of a Quantum Field Theory: numerical results are
presented for the Equation of State.