# Charge conjugation invariance of the vacuum and the cosmological constant problem [rapid communication]

@article{Moffat2005ChargeCI, title={Charge conjugation invariance of the vacuum and the cosmological constant problem [rapid communication]}, author={John W. Moffat}, journal={Physics Letters B}, year={2005} }

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 zero-point vacuum energy and a vanishing cosmological constant in the presence of a gravitational field. To guarantee… Expand

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#### References

SHOWING 1-10 OF 54 REFERENCES

PT-symmetric quantum electrodynamics

- Physics
- 2005

Abstract The Hamiltonian for quantum electrodynamics becomes non-Hermitian if the unrenormalized electric charge e is taken to be imaginary. However, if one also specifies that the potential A μ in… Expand

Extension of PT -Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction

- Physics
- 2004

It has recently been shown that a non-Hermitian Hamiltonian H possessing an unbroken PT symmetry (i) has a real spectrum that is bounded below, and (ii) defines a unitary theory of quantum mechanics… Expand

A Theory of Electrons and Protons

- Mathematics
- 1930

The relativity quantum theory of an electron moving in a given electromagnetic field, although successful in predicting the spin properties of the electron, yet involves one serious difficulty which… Expand

Scalar quantum field theory with a complex cubic interaction.

- Physics, Medicine
- Physical review letters
- 2004

It is shown that an i phi(3) quantum field theory is a physically acceptable model because the spectrum is positive and the theory is unitary. Expand

The C operator in PT-symmetric quantum field theory transforms as a lorentz scalar

- Physics
- 2005

A non-Hermitian Hamiltonian has a real positive spectrum and exhibits unitary time evolution if the Hamiltonian possesses an unbroken PT (space-time reflection) symmetry. The proof of unitarity… Expand

Transition elements for a non-Hermitian quadratic Hamiltonian

- Physics
- 2004

The non-Hermitian quadratic Hamiltonian H=ωa†a+αa2+βa†2 is analyzed, where a† and a are harmonic oscillator creation and annihilation operators and ω, α, and β are real constants. For the case that… Expand

Complex extension of quantum mechanics.

- Physics, Mathematics
- Physical review letters
- 2002

If PT symmetry is not spontaneously broken, it is possible to construct a previously unnoticed symmetry C of the Hamiltonian, and this work is not in conflict with conventional quantum mechanics but is rather a complex generalization of it. Expand

A Generalized Method of Field Quantization

- Physics
- 1953

A method of field quantization is investigated which is more general than the usual methods of quantization in accordance with Bose of Fermi statistics, though these are included in the scheme. The… Expand

Physical interpretation of complex-energy negative-metric theories

- Physics
- 1970

It has long been held that the divergences of field theory could be removed if the theory was formulated on a Hilbert space with an indefinite metric. The difficulty of this approach was that the… Expand

On the Annihilation of Electrons and Protons

- Physics
- 1930

An electron, according to relativity quantum theory, has two different kinds of states of motion, those for which the kinetic energy is positive and those for which it is negative. Only the former,… Expand