%0 Journal Article %1 chatterjee2018yangmills %A Chatterjee, Sourav %D 2018 %K quantum %T Yang-Mills for probabilists %U http://arxiv.org/abs/1803.01950 %X The rigorous construction of quantum Yang-Mills theories, especially in dimension four, is one of the central open problems of mathematical physics. Construction of Euclidean Yang-Mills theories is the first step towards this goal. This article presents a formulation of some of the core aspects this problem as problems in probability theory. The presentation begins with an introduction to the basic setup of Euclidean Yang-Mills theories and lattice gauge theories. This is followed by a discussion of what is meant by a continuum limit of lattice gauge theories from the point of view of theoretical physicists. Some of the main issues are then posed as problems in probability. The article ends with a brief review of the mathematical literature.

@article{chatterjee2018yangmills, abstract = {The rigorous construction of quantum Yang-Mills theories, especially in dimension four, is one of the central open problems of mathematical physics. Construction of Euclidean Yang-Mills theories is the first step towards this goal. This article presents a formulation of some of the core aspects this problem as problems in probability theory. The presentation begins with an introduction to the basic setup of Euclidean Yang-Mills theories and lattice gauge theories. This is followed by a discussion of what is meant by a continuum limit of lattice gauge theories from the point of view of theoretical physicists. Some of the main issues are then posed as problems in probability. The article ends with a brief review of the mathematical literature.}, added-at = {2018-03-15T15:48:05.000+0100}, author = {Chatterjee, Sourav}, biburl = {https://www.bibsonomy.org/bibtex/27e29cf8012c5275dcd222cabc0ad681e/claired}, description = {Yang-Mills for probabilists}, interhash = {0ae532450bddeea29654ddde628ac8d6}, intrahash = {7e29cf8012c5275dcd222cabc0ad681e}, keywords = {quantum}, note = {cite arxiv:1803.01950Comment: 17 pages}, timestamp = {2018-03-15T15:48:05.000+0100}, title = {Yang-Mills for probabilists}, url = {http://arxiv.org/abs/1803.01950}, year = 2018 }