Parity breaking medium and squeeze operators

Abstract

The transition between a Minkowski space region and a parity breaking medium domain is thoroughly discussed. The requirement of continuity of the field operator content across the separating boundary of the two domains leads to Bogolyubov transformations, squeezed pairs states and squeeze operators that turn out to generate a functional SU(2) algebra. According to this algebraic approach, the reflection and transmission probability amplitude across the separating boundary are computed. The probability rate of the emission or absorption of squeezed pairs out of the vacuum (generalization of the Sauter-Schwinger-Nikishov formula) is obtained.

Stellar matter with pseudoscalar condensates

“…Of course if parity is broken inside a star other consequences should follow since this would undoubtedly modify the equation of state. There could also be photon birefringence [28] at the boundary layer and photon instability [29]. All taken together could help to detect parity breaking in dense (or not so dense) stars.…”

“…There could also be photon birefringence [50] at the boundary layer and photon instability [51]. All taken together could help to detect parity breaking in dense (or not so dense) stars.…”

“…2). From [28] we know that k ⊥ remains the same after crossing the boundary. This means that the trajectory of the particle and normal vector lie in one plane.…”

“…Using the results obtained in [50], one may find the transmission coefficient of outgoing particles for every polarization…”

“…Photons fall on the boundary from a region where ordinary electrodynamics holds and attempt to penetrate in one governed by MCS electrodynamics. Matching conditions for this problem were discussed in detail in [50]. To understand which photons penetrate into the shell it is worth to recall the discussion.…”