Quantum Theory on a Galois Field
| dc.creator | Lev, Felix | |
| dc.date | 2004-03-23 | |
| dc.date.accessioned | 2026-07-07T04:16:46Z | |
| dc.date.available | 2026-07-07T04:16:46Z | |
| dc.description | Systems of free particles in a quantum theory based on a Galois field (GFQT) are discussed in detail. In this approach infinities cannot exist, the cosmological constant problem does not arise and one irreducible representation of the symmetry algebra necessarily describes a particle and its antiparticle simultaneously. As a consequence, well known results of the standard theory (spin-statistics theorem; a particle and its antiparticle have the same masses and spins but opposite charges etc.) can be proved without involving local covariant equations. The spin-statistics theorem is simply a requirement that quantum theory should be based on complex numbers. Some new features of GFQT are as follows: i) elementary particles cannot be neutral; ii) the Dirac vacuum energy problem has a natural solution and the vacuum energy (which in the standard theory is infinite and negative) equals zero as it should be; iii) the charge operator has correct properties only for massless particles with the spins 0 and 1/2. In the AdS version of the theory there exists a dilemma that either the notion of particles and antiparticles is absolute and then only particles with a half-integer spin can be elementary or the notion is valid only when energies are not asymptotically large and then supersymmetry is possible. | |
| dc.description | 104 pages, Latex, 1 figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/0403231 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0403231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52489 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Theory on a Galois Field | |
| dc.type | text |