The volume element of space-time and scale invariance
| dc.creator | Guendelman, E. I. | |
| dc.date | 2000-11-08 | |
| dc.date.accessioned | 2026-07-07T04:10:52Z | |
| dc.date.available | 2026-07-07T04:10:52Z | |
| dc.description | Scale invariance is considered in the context of gravitational theories where the action, in the first order formalism, is of the form $S = \int L_{1} Φd^4x$ + $\int L_{2}\sqrt{-g}d^4x$ where the volume element $Φd^4x$ is independent of the metric. For global scale invariance, a "dilaton" $ϕ$ has to be introduced, with non-trivial potentials $V(ϕ)$ = $f_{1}e^{αϕ}$ in $L_1$ and $U(ϕ)$ = $f_{2}e^{2αϕ}$ in $L_2$. This leads to non-trivial mass generation and a potential for $ϕ$ which is interesting for inflation. Interpolating models for natural transition from inflation to a slowly accelerated universe at late times appear naturally. This is also achieved for "Quintessential models", which are scale invariant but formulated with the use of volume element $Φd^4x$ alone. For closed strings and branes (including the supersymmetric cases), the modified measure formulation is possible and does not require the introduction of a particular scale (the string or brane tension) from the begining but rather these appear as integration constants. | |
| dc.description | contribution to the IARD2000 conference, Bar Ilan University, Ramat Gan, Israel, 26-28 June 2000 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0011049 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0011049 | |
| dc.identifier | Found.Phys. 31 (2001) 1019-1037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50364 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The volume element of space-time and scale invariance | |
| dc.type | text |