2010/06/28 by Mithat Ünsal, Mithat Unsal, Laurence G. Yaffe · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Gauge theory #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Moduli space #Orbifold #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep08(2010)030
published as JHEP 1008:030,2010 · 24 pages, added ref
arxiv created 2010/06/28 · openalex publication_date 2010/08/01 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Consequences of large N volume independence are examined in conformal and confining gauge theories. In the large N limit, gauge theories compactified on ℝd - k × ( S1 )k are independent of the S 1 radii, provided the theory has unbroken center symmetry. In particular, this implies that a large N gauge theory which, on ℝd , flowstoan IR fixed point, retains the infinite correlation length and other scale invariant properties of the decompactified theory even when compactified on ℝd - k × ( S1 )k . In other words, finite volume effects are 1/N suppressed. In lattice formulations of vector-like theories, this implies that numerical studies to determine the boundary between confined and conformal phases may be performed on one-site lattice models. In N = 4 supersymmetric Yang-Mills theory, the center symmetry realization is a matter of choice: the theory on ℝ4 - k × ( S1 )k has a moduli space which contains points with all possible realizations of center symmetry. Large N QCD with massive adjoint fermions and one or two compactified dimensions has a rich phase structure with an infinite number of phase transitions coalescing in the zero radius limit.