%0 Journal Article %1 Osterwalder1978440 %A Osterwalder, K. %A Seiler, E. %D 1978 %J Annals of Physics %K GaugeTheory Lattice OsterwalderSchraderAxioms %N 2 %P 440 - 471 %R DOI: 10.1016/0003-4916(78)90039-8 %T Gauge field theories on a lattice %U http://www.sciencedirect.com/science/article/B6WB1-4DF502R-10T/2/bfedecc03191062a4c85fefd26e89598 %V 110 %X We begin a rigorous, nonperturbative investigation of quantum field theories with local internal symmetries. We discuss the lattice approximation of Yang-Mills fields and of fermion fields in the Euclidean setup and we verify physical positivity for the Schwinger functions of these approximations. This implies the existence of a positive self-adjoint transfer matrix. We then prove existence and analyticity of the infinite volume limit of strongly coupled Yang-Mills theories on the lattice and we verify Wilson's confinement bound. Finally we present a rigorous treatment of the Higgs mechanism in lattice gauge theories.

@article{Osterwalder1978440, abstract = {We begin a rigorous, nonperturbative investigation of quantum field theories with local internal symmetries. We discuss the lattice approximation of Yang-Mills fields and of fermion fields in the Euclidean setup and we verify physical positivity for the Schwinger functions of these approximations. This implies the existence of a positive self-adjoint transfer matrix. We then prove existence and analyticity of the infinite volume limit of strongly coupled Yang-Mills theories on the lattice and we verify Wilson's confinement bound. Finally we present a rigorous treatment of the Higgs mechanism in lattice gauge theories.}, added-at = {2009-04-23T10:14:50.000+0200}, author = {Osterwalder, K. and Seiler, E.}, biburl = {https://www.bibsonomy.org/bibtex/2ff14c793f9fc32350de58fb552bffcb4/gber}, description = {ScienceDirect - Annals of Physics : Gauge field theories on a lattice}, doi = {DOI: 10.1016/0003-4916(78)90039-8}, interhash = {2499deda4efb08cf6df8a06f0b844464}, intrahash = {ff14c793f9fc32350de58fb552bffcb4}, issn = {0003-4916}, journal = {Annals of Physics}, keywords = {GaugeTheory Lattice OsterwalderSchraderAxioms}, number = 2, pages = {440 - 471}, timestamp = {2009-04-23T10:14:51.000+0200}, title = {Gauge field theories on a lattice}, url = {http://www.sciencedirect.com/science/article/B6WB1-4DF502R-10T/2/bfedecc03191062a4c85fefd26e89598}, volume = 110, year = 1978 }