Topological charges and confined-deconfined phase transition in holography
Nelson R. F. Braga, William S. Cunha
TLDR
This paper uses a holographic AdS/QCD model to show how topological charges in AdS space relate to confined-deconfined phase transitions.
Key contributions
- Black holes are described as topological defects with associated charges in an enlarged parameter space.
- Gauge/gravity duality links confined-deconfined phase transitions to black hole phase dominance.
- An energy scale in AdS space induces a change in the topological class within an AdS/QCD model.
- This topological change reveals confined and deconfined phases separated by a Hawking-Page transition.
Why it matters
This work advances our understanding of phase transitions in quantum chromodynamics (QCD) through the lens of holography. It provides a novel topological perspective on the confined-deconfined transition, linking it to black hole properties in AdS space.
Original Abstract
In recent years, many interesting works providing a topological description for black hole (BH) properties have appeared in the literature. In particular, in this framework BHs correspond to topological defects in an enlarged (off-shell) parameter space, with an associated total topological charge. In gauge/gravity duality the transition from the confined to the deconfined phase is mapped into the dominance of a BH phase in the gravity side. Here we show, using a holographic AdS/QCD model, that the introduction of an energy scale in anti-de Sitter (AdS) space results in a change in the topological class. Such a modification corresponds to the existence of confined and deconfined phases, separated by a Hawking Page transition at a finite critical temperature.
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