Regular Article - Theoretical Physics
Relativistic invariance of the vacuum
Faculty of Physics, University of Warsaw, ul. Hoża 69, 00-681, Warsaw, Poland
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Published online: 26 November 2013
Relativistic invariance of the vacuum is (or follows from) one of the Wightman axioms, which is commonly believed to be true. Without these axioms, here we present a direct and general proof of continuous relativistic invariance of all real-time vacuum correlations of fields, not only scattering (forward in time), based on closed time path formalism. The only assumptions are basic principles of relativistic quantum field theories: the relativistic invariance of the Lagrangian, of the form including known interactions (electromagnetic, weak and strong), and standard rules of quantization. The proof is in principle perturbative leaving a possibility of spontaneous violation of invariance. Time symmetry is, however, manifestly violated.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013