dorsal/arxiv
View SchemaPossibility of obtaining a non-relativistic proof of the spin-statistics theorem in the Galilean frame
| Authors | Gabriel D. Puccini, Hector Vucetich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407208 |
| URL | https://arxiv.org/abs/quant-ph/0407208 |
Abstract
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.
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"date_created": "2026-03-02T18:02:09.614000Z",
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"abstract": "Here we explore the possibility to obtain a non-relativistic proof of the\nspin-statistics theorem. First, we examine the structure of axioms and theorems\ninvolved in a relativistic Schwinger-like proof of the spin-statistics\nrelation. Second, starting from this structure we identify the relativistic\nassumptions. Last, we reformulate these assumptions in order to obtain a\nGalilean proof. We conclude that the spin-statistics theorem cannot be deduced\ninto the framework of Galilean quantum field theories for three space\ndimensions because two of the assumptions needed to prove the theorem are\nincompatible. We analyze, however, the conditions under which a non-relativist\nproof could still be deduced.",
"arxiv_id": "quant-ph/0407208",
"authors": [
"Gabriel D. Puccini",
"Hector Vucetich"
],
"categories": [
"quant-ph"
],
"title": "Possibility of obtaining a non-relativistic proof of the spin-statistics theorem in the Galilean frame",
"url": "https://arxiv.org/abs/quant-ph/0407208"
},
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"variant": "snapshot-2026-03-01",
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