title: Global Symmetries, Volume Independence, and Continuity in Quantum Field Theories.
abstract: We discuss quantum field theories with global SU(N) and O(N) symmetries for which temporal direction is compactified on a circle of size L with periodicity of fields up to a global symmetry transformation, i.e., twisted boundary conditions. Such boundary conditions correspond to an insertion of the global symmetry operator in the partition function. We argue in general and prove in particular for CP(N-1) and O(N) nonlinear sigma models that large-N volume independence holds. Further we show that the CP(N-1) theory is free from the Affleck phase transition confirming the Ünsal-Dunne continuity conjecture.
authors.affiliation: Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA and Philippe Meyer Institute, Physics Department, Ecole Normale Supérieure, PSL Research University, 24 rue Lhomond, F-75231 Paris Cedex 05, France.
authors.forename: Tin
authors.initials: T
authors.lastname: Sulejmanpasic