Axionic Wormholes : More on their Classical and Quantum Aspects

TL;DR

This paper explores classical and quantum aspects of axionic wormholes within Einstein-Kalb-Ramond theory, including fermionic zero modes, and presents an exact quantum wormhole wave function in a minisuperspace model.

Contribution

It provides the first analysis of fermionic zero modes in axionic wormhole backgrounds and derives an exact quantum wormhole wave function in a minisuperspace cosmological model.

Findings

Existence of fermionic zero modes in axionic wormhole backgrounds.

An exact analytic wave function for quantum wormholes is obtained.

The model illustrates the universe's evolution from quantum to classical regimes.

Abstract

As a system which is known to admit classical wormhole instanton solutions, Einstein-Kalb-Ramond (KR) antisymmetric tensor theory is revisited. As an untouched issue, the existence of fermionic zero modes in the background of classical axionic wormhole spacetime and its physical implications is addressed. In particular, in the context of a minisuperspace quantum cosmology model based on this Einstein-KR antisymmetric tensor theory, ``quantum wormhole'', defined as a state represented by a solution to the Wheeler-DeWitt equation satisfying an appropriate wormhole boundary condition, is discussed. An exact, analytic wave function for quantum wormholes is actually found. Finally, it is proposed that the minisuperspace model based on this theory in the presence of the cosmological constant may serve as an interesting simple system displaying an overall picture of entire universe's history from the deep quantum domain all the way to the classical domain.