Abstract
We argue that the local violation of P invariance in heavy ion collisions is a consequence of the long range topological order which is inherent feature of strongly coupled QCD. A similar phenomenon is known to occur in some topologically ordered condensed matter systems with a gap. We also discuss possible cosmological applications of this long range order in strongly coupled gauge theories. In particular, we argue that the de Sitter behaviour might be dynamically generated as a result of the long range order. In this framework the inflaton is an auxiliary field which effectively describes the dynamics of topological sectors in a gauge theory in the expanding universe, rather than a new dynamical degree of freedom.
Highlights
It has become clear that quantum anomalies play very important role in the macroscopic dynamics of relativistic fluids
Our application to heavy ion collisions is based on an idea that the dynamics of the vacuum topological sectors is slightly modified on the scale of order R ∼ (10 fm) as a result of a collision
In the present work we advocate an idea that QCD has some “hidden" long range order which was suspected long ago [23]
Summary
It has become clear that quantum anomalies play very important role in the macroscopic dynamics of relativistic fluids. That the entire framework, including the singular behaviour of q(x)q(0) with the “wrong sign", has been accepted by the community as a standard resolution of the U(1)A problem which has been well confirmed by numerous lattice simulations in strongly coupled regime, see e.g. recent papers [20,21,22] and many references therein It has been argued long ago in [23] that the gauge theories may exhibit the “secret long range forces" (which is, the title of ref.[23]) expressed in terms of the topologically protected massless pole in correlation function (4). Based on this construction, one can argue that QCD belongs to a topologically ordered phase, similar to many known examples in condensed matter physics, see [12] for the details
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