Holographic confining theories on space-times with constant positive curvature

TL;DR

This paper explores how quantum phase transitions occur in holographic confining quantum field theories on spaces with constant positive curvature, revealing a competition between solution branches and curvature-dependent phase transition orders.

Contribution

It introduces the analysis of phase transitions in holographic confining theories on curved backgrounds, highlighting the impact of space-time curvature on solution branches and transition nature.

Findings

Identification of two solution branches with different IR geometries

Discovery of a phase transition influenced by space-time curvature

Dependence of transition order on scalar potential asymptotics

Abstract

Varying the curvature, quantum phase transitions are investigated in holographic confining QFTs defined on a fixed constant positive curvature background. We find a competition between two branches of solutions and a phase transition as one varies the space-time curvature. The low-curvature phase has the same kind of IR geometry as the flat-space solution, while the high-curvature phase has a regular interior. We argue that, depending on the leading asymptotic exponent of the scalar potential, the transition may be first-order or higher-order.