Thermal field theories and shifted boundary conditions

@inproceedings{Giusti2013ThermalFT,
title={Thermal field theories and shifted boundary conditions},
author={Leonardo Giusti and Harvey B. Meyer},
year={2013}
}

The analytic continuation to an imaginary velocity of the canonical partition function of a thermal system expressed in a moving frame has a natural implementation in the Euclidean path-integral formulation in terms of shifted boundary conditions. The Poincare invariance underlying a relativistic theory implies a dependence of the free-energy on the compact length L0 and the shift ξ only through the combination β = L0(1 + ξ )1/2. This in turn implies that the energy and the momentum… Expand

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved… Expand

A bstractThe analytic continuation to an imaginary velocity iξ of the canonical partition function of a thermal system expressed in a moving frame has a natural implementation in the Euclidean… Expand

A bstractIn a thermal field theory, the cumulants of the momentum distribution can be extracted from the dependence of the Euclidean path integral on a shift in the fields built into the temporal… Expand

This work relates the generating function of the cumulants of a thermal field theory to the ratio of a partition function expressed as a Matsubara path integral with shifted boundary conditions in the compact direction and the ordinary partition function, and shows that itscumulants are related to thermodynamic potentials.Expand

In order to extract transport quantities from energy-momentum-tensor (EMT) correlators in Lattice QCD there is a strong need for a non-perturbative renormalization of these operators. This is due to… Expand