Classical and Quantum Wormholes in Einstein-Yang-Mills Theory

Abstract

Wormhole spacetimes may be responsible for the possible loss of quantum coherence and the introduction of additional fundamental quantum indeterminancy of the values of constants of nature. As a system which is known to admit such classical wormhole solutions, Einstein-Yang-Mills (EYM) theory is revisited. Since the classical wormhole instanton solution in this theory has been studied extensively thus far, in the present work, ``quantum wormholes'' are explored. Namely in the context of a minisuperspace quantum cosmology model based on this EYM theory, ``quantum wormhole'', defined as a state represented by a solution to the Wheeler-DeWitt equation satisfying an appropriate wormhole boundary condition, is discussed. Finally, it is proposed that the minisuperspace model based on this theory in the presence of the cosmological constant may serve as a simple yet interesting system displaying an overall picture of entire universe's history from the deep quantum domain all the way to the classical domain.