Polarization Correlations in Pair Production from Charged and Neutral Strings

TL;DR

This paper investigates polarization correlations in electron-positron pair production from charged and neutral Nambu strings, revealing speed-dependent probabilities that differ for charged versus uncharged strings and violate local hidden variables theories.

Contribution

It derives explicit, speed-dependent polarization probabilities for pair production from charged and neutral strings, highlighting their differences and implications for quantum theory.

Findings

Probabilities depend on string speed and differ between charged and neutral strings.

In the ultra-relativistic limit, probabilities coincide.

Results demonstrate violation of local hidden variables theories.

Abstract

Polarization correlations of $e^{+}e^{-}$ pair productions from charged and neutral Nambu strings are investigated, via photon and graviton emissions, respectively and explicit expressions for their corresponding probabilities are derived and found to be \textit{speed} dependent. The strings are taken to be circularly oscillating closed strings, as perhaps the simplest solution of the Nambu action. In the extreme relativistic case, these probabilities coincide, but, in general, are different, and such inquiries, in principle, indicate whether the string is charged or uncharged. It is remarkable that these dynamical relativistic quantum field theory calculations lead to a clear violation of Local Hidden Variables theories.