Charge conjugation invariance of the vacuum and the cosmological constant problem [rapid communication]
Abstract
We propose a method of field quantization which uses an indefinite metric in a Hilbert space of state vectors. The action for gravity and the standard model includes, as well as the positive energy fermion and boson fields, negative energy fields. The Hamiltonian for the action leads through charge conjugation invariance symmetry of the vacuum to a cancellation of the zeropoint vacuum energy and a vanishing cosmological constant in the presence of a gravitational field. To guarantee the stability of the vacuum, we introduce a Dirac sea "hole" theory of quantization for gravity as well as the standard model. The vacuum is defined to be fully occupied by negative energy particles with a hole in the Dirac sea, corresponding to an antiparticle. We postulate that the negative energy bosons in the vacuum satisfy a parastatistics that leads to a paraPauli exclusion principle for the negative energy bosons in the vacuum, while the positive energy bosons in the Hilbert space obey the usual BoseEinstein statistics. This assures that the vacuum is stable for both fermions and bosons. Restrictions on the paraoperator Hamiltonian density lead to selection rules that prohibit positive energy parabosons from being observable. The problem of deriving a positive energy spectrum and a consistent unitary field theory from a pseudoHermitian Hamiltonian is investigated.
 Publication:

Physics Letters B
 Pub Date:
 October 2005
 DOI:
 10.1016/j.physletb.2005.09.012
 arXiv:
 arXiv:hepth/0507020
 Bibcode:
 2005PhLB..627....9M
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 15 pages, Latex file, no figures. Typos corrected. To be published in Physics Letters B