SU(N) quantum YangMills theory in two dimensions: A complete solution
Journal article
Publication Details
Author(s): Ashtekar A, Lewandowski J, Marolf D, Mourao JM, Thiemann T
Journal: → Journal of Mathematical Physics 
Publisher: AMER INST PHYSICS
Publication year: 1997
Volume: 38
Journal issue: 11
Pages range: 54535482
ISSN: 00222488
Abstract
A closed expression of the Euclidean Wilsonloop functionals is derived for pure YangMills continuum theories with gauge groups SU(N) and U(1) and spacetime topologies R1 x R1 and R1 x S1. (For the U(1) theory, we also consider the S1 x S1 topology.) The treatment is rigorous, manifestly gauge invariant, manifestly invariant under area preserving diffeomorphisms and handles all (piecewise analytic) loops in one stroke. Equivalence between the resulting Euclidean theory and and the Hamiltonian framework is then established. Finally, an extension of the OsterwalderSchrader axioms for gauge theories is proposed, These axioms are satisfied in the present model. (C) 1997 American Institute of Physics.
FAU Authors / FAU Editors
   Chair for Theoretical Physics III (Quantum Gravity) 

 Mourao, José Manuel Prof. Dr. 
  Chair for Theoretical Physics III (Quantum Gravity) 

 Thiemann, Thomas Prof. Dr. 
  Chair for Theoretical Physics III (Quantum Gravity) 

How to cite
APA:  Ashtekar, A., Lewandowski, J., Marolf, D., Mourao, J.M., & Thiemann, T. (1997). SU(N) quantum YangMills theory in two dimensions: A complete solution. Journal of Mathematical Physics, 38(11), 54535482. 
MLA:  Ashtekar, Abhay, et al. "SU(N) quantum YangMills theory in two dimensions: A complete solution." Journal of Mathematical Physics 38.11 (1997): 54535482. 