Field Theory Models without the Cosmological Constant Problem

Details Field Theory Models without the Cosmological Constant Problem Field Theory Models without the Cosmological Constant Problem

1998-09-17

arxiv.org/abs/gr-qc/9809052v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plenary talk given by E.I.Guendelman in the Fourth Alexander Friedmann International Seminar on Gravitation and Cosmology, St.

Scientific paper

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 \phi_{a}. We study three possibilities for the general structure of the theory: (A) The total action has the form S=\int\Phi Ld^{4}x where the measure \Phi is built from the scalars \phi_{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) \phi_{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}=\int\Phi L_{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 \phi_{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.

Affiliated with

Also associated with

No associations

Rating

Field Theory Models without the Cosmological Constant Problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Field Theory Models without the Cosmological Constant Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Field Theory Models without the Cosmological Constant Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-536359