Massless Scalar Field Propagator in a Quantized Space-Time
| dc.creator | Elias, V. | |
| dc.creator | Steele, T. G. | |
| dc.date | 2006-03-14 | |
| dc.date.accessioned | 2026-07-07T10:46:13Z | |
| dc.date.available | 2026-07-07T10:46:13Z | |
| dc.description | We consider in detail the analytic behaviour of the non-interacting massless scalar field two-point function in H.S. Snyder's discretized non-commuting spacetime. The propagator we find is purely real on the Euclidean side of the complex $p^2$ plane and goes like $1/p^2$ as $p^2\to 0$ from either the Euclidean or Minkowski side. The real part of the propagator goes smoothly to zero as $p^2$ increases to the discretization scale $1/a^2$ and remains zero for $p^2>1/a^2$. This behaviour is consistent with the termination of single-particle propagation on the ultraviolet side of the discretization scale. The imaginary part of the propagator, consistent with a multiparticle-production branch discontinuity, is finite and continuous on the Minkowski side, slowly falling to zero when $1/a^2<p^2<\infty$. Finally, we argue that the spectral function for the multiparticle states appears to saturate as $p^2$ probes just beyond the $1/a^2$ discretization scale. We speculate on the cosmological consequences of such a spectral function. | |
| dc.description | 6 pages, 1 eps figure embedded in manuscript | |
| dc.identifier | https://arxiv.org/abs/hep-th/0603117 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0603117 | |
| dc.identifier | Int.J.Mod.Phys.E16:51-58,2007 | |
| dc.identifier | doi:10.1142/S0218301307004886 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183158 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Massless Scalar Field Propagator in a Quantized Space-Time | |
| dc.type | text |