Quantum fields, cosmological constant and symmetry doubling

TL;DR

This paper explores how energy-parity symmetry emerges in classical phase space and how varying gauge couplings can induce a transition from classical to quantum fields, with implications for cosmological constant suppression.

Contribution

It demonstrates the emergence of energy-parity symmetry in classical phase space and introduces a model where varying gauge couplings facilitate classical-quantum transition with decoherence effects.

Findings

Energy-parity symmetry arises in classical phase space dynamics.

Varying gauge couplings enable a transition from classical to quantum fields.

Corrections lead to diffusion, dissipation, and decoherence.

Abstract

Energy-parity has been introduced by Kaplan and Sundrum as a protective symmetry that suppresses matter contributions to the cosmological constant [KS05]. It is shown here that this symmetry, schematically Energy --> - Energy, arises in the Hilbert space representation of the classical phase space dynamics of matter. Consistently with energy-parity and gauge symmetry, we generalize the Liouville operator and allow a varying gauge coupling, as in "varying alpha" or dilaton models. In this model, classical matter fields can dynamically turn into quantum fields (Schroedinger picture), accompanied by a gauge symmetry change -- presently, U(1) --> U(1) x U(1). The transition between classical ensemble theory and quantum field theory is governed by the varying coupling, in terms of a one-parameter deformation of either limit. These corrections introduce diffusion and dissipation, leading to decoherence.