Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Charge Conjugation Invariance of the Vacuum

  1. Jul 5, 2005 #1


    User Avatar
    Gold Member


    Title: Charge Conjugation Invariance of the Vacuum and the Cosmological Constant Problem
    Authors: J. W. Moffat
    Comments: 14 pages, Latex file, No figures

    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 zero-point 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 anti-particle. We postulate that the negative energy bosons in the vacuum satisfy a para-statistics that leads to a para-Pauli exclusion principle for the negative energy bosons in the vacuum, while the positive energy bosons in the Hilbert space obey the usual Bose-Einstein statistics. This assures that the vacuum is stable for both fermions and bosons. Restrictions on the para operator Hamiltonian density lead to selection rules that prohibit positive energy para-bosons from being observable. The problem of deriving a positive energy spectrum and a consistent unitary field theory from a pseudo-Hermitian Hamiltonian is investigated.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads - Charge Conjugation Invariance Date
A Electron charge vs quark charge Feb 26, 2018
I Time invariance Oct 30, 2017
I Electric and Color charge in String Theory Sep 23, 2017
I Kaluza–Klein metric, space between charged capacitor? Jun 17, 2017
B Can Kaluza-Klein theory accommodate magnetic charge? Jul 23, 2016