Speaker
Description
By enforcing suitable relations associated to the Poincar\'e invariance
of the continuum theory, it is possible to define an energy-momentum
tensor on the lattice which satisfies the appropriate Ward Identites and
has the right trace anomaly in the continuum limit. The renormalization
conditions 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 of the lattice are not aligned. I show an implementation
of these ideas for the SU(3) Yang--Mills theory discretized with the standard
Wilson action in the presence of shifted boundary conditions in the (short)
temporal direction. By carrying out extensive numerical simulations, the
renormalization constants of the traceless components of the tensor are
determined with a precision of roughly half a percent for values of the bare
coupling constant in the useful range 0<g<1.
