1209.0209 (Adam Bednorz)

Lorentz invariance of vacuum in the closed time path formalism    [PDF]

Adam Bednorz

The Schwinger-Kadanoff-Baym-Keldysh closed time path formalism is fundamentally important because it combines the quantum statistical approach with arbitrary field theories. We prove that in this approach the Green functions in vacuum at zero temperature and vanishing conserved charges are invariant with respect to continuous Lorentz transformations. To make the proof clear we adopt the well-known techniques of path integrals and Feynman diagrams tailored especially to the closed time path by full use of the properties of complex time. The proof, which is in principle perturbative, relies on the quantum electrodynamics Lagrangian and extends to the Standard Model in general.

View original: http://arxiv.org/abs/1209.0209