Generalized 3D instanton crystals

Abstract: Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. I analyze the three-dimensional crystal structures and the orientation patterns for the two-body potential motivated by holographic duality. I use simulations of large ensembles of instantons to identify the lattice structure and orientations for various parameter values of the two-body potential. The resulting phase diagram is surprisingly complex, including a variety of ferromagnetic and antiferromagnetic crystals with various global orientation patterns, and various "non-Abelian" crystals where orientations have no preferred direction. The simulation results are augmented by analytic analysis of the long-distance divergences, and numerical computation of the (divergence free) energy differences between the non-Abelian crystals, which precisely determine the structure of the phase diagram.

general relativity and quantum cosmologyHEP - phenomenologyHEP - theory

Audience: researchers in the topic

---

Frontiers of Holographic Duality-3

Series comments: Having been initially used as a tool to explore strongly coupled phenomena, holography found important applications and intriguing insights in the structure of quantum gravity and quantum information, linking them to certain universal properties of strongly coupled chaotic quantum systems. It provides unified geometric tools for the description of various phenomena in the heavy ions collision physics, many-body physics applications, black hole physics, and quantum information theory.

The aim is to explore a wide variety of aspects of holographic duality, bringing together specialists in main topics to have comprehensive, but intensive discussions of the frontiers of holography and closely related subjects of quantum information and strongly-coupled theory.

The topics to be discussed include holographic duality and applications:

-holographic quantum chromodynamics and heavy ions collisions; -entanglement, chaos and many-body phenomena; -black holes and quantum information.

Zoom password and organization information will be sent to speakers and registered participants. Please note that all talks will be moderated and recorded.

---