2004/07/27 by Gabriel D. Puccini, Puccini, Gabriel D., H. Vucetich +2
Computer Science · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Fusion and Plasma Physics Studies #Quantum Physics (quant-ph) #Scientific Research and Philosophical Inquiry #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0407208
7 pages, 1 Postscript figure; v2: added a new section, enlarged introduction and conclusion; v3: added new comments and corrected typos
openalex publication_date 2004/07/27 · arxiv created 2006/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Here we explore the possibility to obtain a non-relativistic proof of the spin-statistics theorem. First, we examine the structure of axioms and theorems involved in a relativistic Schwinger-like proof of the spin-statistics relation. Second, starting from this structure we identify the relativistic assumptions. Last, we reformulate these assumptions in order to obtain a Galilean proof. We conclude that the spin-statistics theorem cannot be deduced into the framework of Galilean quantum field theories for three space dimensions because two of the assumptions needed to prove the theorem are incompatible. We analyze, however, the conditions under which a non-relativist proof could still be deduced.