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… 
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