Non-analyticity in scale in the planar limit of QCD

Abstract

Using methods of numerical Lattice Gauge Theory we show that in the limit of a large number of colors, properly regularized Wilson loops have an eigenvalue distribution which changes non-analytically as the overall size of the loop is increased. This establishes a large-N phase transition in continuum planar gauge theory, a fact whose precise implications remain to be worked out.

4 pages, 3 figure, minor adjustments to match version accepted for publication

References in corpus (4)

• Infinite N phase transitions in continuum Wilson loop operators
• Large N_c confinement and turbulence
• Burgers' equation in 2D SU(N) YM
• Eigenvalue density of Wilson loops in 2D SU(N) YM

Cited by in corpus (13)

• SU(N) gauge theories at large N
• Dysonian dynamics of the Ginibre ensemble
• Introductory lectures to large-N QCD phenomenology and lattice results
• Unveiling the significance of eigenvectors in diffusing non-hermitian matrices by identifying the underlying Burgers dynamics
• Generating SU(Nc) pure gauge lattice QCD configurations on GPUs with CUDA
• Rectangular Wilson Loops at Large N
• Emergent Phase Space Description of Unitary Matrix Model
• Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD
• Large $N$ scaling and factorization in SU($N$) Yang-Mills gauge theory
• Large-N string tension from rectangular Wilson loops
• Quantum Mechanics of Plancherel Growth
• Remarks on correlators of Polyakov Loops
• Scale invariant behavior in a large N matrix model