2003/02/28 by L. D. Paniak, Lori D Paniak, R. J. Szabo +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Gauge group #Gauge theory #Group (periodic table) #Instanton #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Torus #Wilson loop #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1088/1126-6708/2003/05/029
published as JHEP 0305 (2003) 029 · 37 pages. References added
arxiv created 2003/03/16 · openalex publication_date 2003/05/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The correlation functions of open Wilson line operators in two-dimensional Yang-Mills theory on the noncommutative torus are computed exactly. The correlators are expressed in two equivalent forms. An instanton expansion involves only topological numbers of Heisenberg modules and enables extraction of the weak-coupling limit of the gauge theory. A dual algebraic expansion involves only group theoretic quantities, winding numbers and translational zero modes, and enables analysis of the strong-coupling limit of the gauge theory and the high-momentum behaviour of open Wilson lines. The dual expressions can be interpreted physically as exact sums over contributions from virtual electric dipole quanta.