2012/09/30 by Adam Bednorz
Mathematics · Physics and Astronomy · #Field (mathematics) #Lorentz covariance #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Quantum field theory #Relativistic particle #Relativistic quantum mechanics #Relativity and Gravitational Theory #Scattering #Symmetry (geometry) #Vacuum energy #Vacuum state #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1140/epjc/s10052-013-2654-9
published as The European Physical Journal C 73: 2654 (2013) · 13 pages, 5 figures, more about false reports of PRD Editors V.P. Nair and G.D. Sprouse at http://www.fuw.edu.pl/~abednorz/riv/
openalex publication_date 2013/11/25 · arxiv created 2013/11/30 · arxiv updated 2013/12/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.