Field Theory Models without the Cosmological Constant Problem
| dc.creator | Guendelman, E. I. | |
| dc.creator | Kaganovich, A. B. | |
| dc.date | 1998-09-17 | |
| dc.date.accessioned | 2026-07-07T03:32:39Z | |
| dc.date.available | 2026-07-07T03:32:39Z | |
| dc.description | We study field theory models in the context of a gravitational theory based on the requirement that the measure of integration in the action is not necessarily \sqrt{-g} but it is determined dynamically through additional degrees of freedom, like four scalar fields ϕ_{a}. We study three possibilities for the general structure of the theory: (A) The total action has the form S=\intΦLd^{4}x where the measure Φis built from the scalars ϕ_{a} in such a way that the transformation L\to L+const does not effect equations of motion. Then an infinite dimensional shifts group of the measure fields (SGMF) ϕ_{a} by arbitrary functions of the Lagrangian density L is a symmetry group of the action. (B) The total action has the form S=S_{1}+S_{2}, S_{1}=\intΦL_{1}d^{4}x, S_{2}=\int\sqrt{-g}L_{2}d^{4}x which is the only model different from (A) and invariant under SGMF (but now with f_{a}= f_{a}(L_{1})). Similarly, now only S_{1} satisfies the requirement that the transformation L_{1}\to L_{1}+const does not effect equations of motion. Both in the case (A) and in the case (B) it is assumed that L, L_{1}, L_{2} do not depend on ϕ_{a}. (C) The action includes a term which breaks the SGMF symmetry. It is shown that in the first order formalism in cases (A) and (B) the CCP is solved: the effective potential vanishes in a true vacuum state (TVS) without fine tuning. In the case (C), the breaking of the SGMF symmetry induces a nonzero energy density for the TVS. | |
| dc.description | Plenary talk given by E.I.Guendelman in the Fourth Alexander Friedmann International Seminar on Gravitation and Cosmology, St. Petersburg, 1998; 25 pages. LaTeX | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9809052 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9809052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36314 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Field Theory Models without the Cosmological Constant Problem | |
| dc.type | text |