Wavelet Perspective of the Disoriented Chiral Condensate (DCC) (with Z. Huang, R. Thews and X. N. Wang); selected publications related to this topic: Z. Huang, I. Sarcevic, R. Thews and X. N. Wang, Phys. Rev. D54, 750 (1996); Z. Huang, I. Sarcevic, R. Thews and X. N. Wang, AZPH-TH/96-27, to appear in Proceedings of DPF'96.
QCD has an approximate global SU(2)_L * SU(2)_R
chiral symmetry which at zero temperature
is spontaneously broken in a way analogous to Higgs mechanism.
The relevant order parameter is
a four-component vector Phi =(sigma, phi)
which in the physical vacuum, points in
the sigma
direction. At high temperatures, , the
chiral symmetry is
restored.
Disoriented Chiral Condensate (DCC) is a medium where Psi
is
coherently misaligned.
Namely,
the vacuum orientation
can be tilted into one of the pion directions, i.e. the chiral condensate
points in different direction from that in the ground state.
We have introduced a novel method for studying the
formation of DCC in
high energy heavy-ion collisions utilizing
a discrete wavelet transformation. Due to its salient
feature of space-scale locality, the discrete wavelet proves
to be very effective in probing physics simultaneously
at different locations in phase space and at different scales.
We show that the probability distributions of the neutral pion
fraction for various rapidity-bin sizes have
distinctive shapes in the case of a DCC and exhibit a delay in
approaching the Gaussian distribution required by the
Central Limit Theorem. We find the wavelet power spectrum for
a DCC to exhibit a strong dependence on the scale while
an equilibrium system and the standard dynamical
models such as HIJING have a flat spectrum.