Local P Violation Effects and Thermalization in QCD: Views from Quantum
  Field Theory and Holography
  We argue that the local violation of P and CP invariance in heavy ion
collisions and the universal thermal aspects observed in high energy collisions
are in fact two sides of the same coin, and both are related to quantum
anomalies of QCD. We argue that the low energy relations representing the
quantum anomalies of QCD are saturated by coherent low dimensional vacuum
configurations as observed in Monte Carlo lattice studies. The thermal spectrum
and approximate universality of the temperature with no dependence on energy of
colliding particles in this framework is due to the fact that the emission
results from the distortion of these low dimensional vacuum sheets rather than
from the colliding particles themselves. The emergence of the long- range
correlations of P odd domains (a feature which is apparently required for
explanation of the asymmetry observed at RHIC and LHC) is also a result of the
same distortion of the QCD vacuum configurations. We formulate the
corresponding physics using the effective low energy effective Lagrangian. We
also formulate the same physics in terms of the dual holographic picture when
low-dimensional sheets of topological charge embedded in 4d space, as observed
in Monte Carlo simulations, are identified with D2 branes. Finally, we argue
that study of these long range correlations in heavy ion collisions could serve
as a perfect test of a proposal that the observed dark energy in present epoch
is a result of a tiny deviation of the QCD vacuum energy in expanding universe
from its conventional value in Minkowski spacetime.
