Searching for continuous phase transitions in 5D SU(2) lattice gauge theory

Abstract

We study the phase diagram of 5-dimensional $SU(2)$ Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the $4+\epsilon$ expansion. The extensions correspond to new terms in the action: i) a unit size plaquette in the adjoint representation or ii) a two-unit sided square plaquette in the fundamental representation. We use Monte Carlo to sample the first and second derivative of the entropy near the confinement phase transition, with lattices up to $12^5$. While we exclude the presence of a second order phase transition in the parameter space we sampled for model i), our data is not conclusive in some regions of the parameter space of model ii).

18 pages, 12 figures. Added discussion on expected critical scaling and frustrated phase. Added references

References in corpus (3)

• Supersymmetry breaking deformations and phase transitions in five dimensions
• Optimized multicanonical simulations: a new proposal based on classical fluctuation theory
• Asymptotically free lattice gauge theory in five dimensions

Cited by in corpus (9)

• Mean string field theory: Landau-Ginzburg theory for 1-form symmetries
• On non-supersymmetric fixed points in five dimensions
• The search for the universality class of metric quantum gravity
• Free Energy on the Sphere for Non-Abelian Gauge Theories
• Comments on Global Symmetries and Anomalies of $5d$ SCFTs
• The Nordic-walking mechanism and its explanation of deconfined pseudocriticality from Wess-Zumino-Witten theory
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• 5d SCFTs and their non-supersymmetric cousins