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Corpus ID: 119608553

Stochastic Feynman Rules for Yang-Mills Theory on the Plane

@article{Nguyen2016StochasticFR,
title={Stochastic Feynman Rules for Yang-Mills Theory on the Plane},
author={T. Nguyen},
journal={arXiv: Mathematical Physics},
year={2016}
}

We analyze quantum Yang-Mills theory on $\mathbb{R}^2$ using a novel discretization method based on an algebraic analogue of stochastic calculus. Such an analogue involves working with "Gaussian" free fields whose covariance matrix is indefinite rather than positive definite. Specifically, we work with Lie-algebra valued fields on a lattice and exploit an approximate gauge-invariance that is restored when taking the continuum limit. This analysis is applied to show the equivalence between… Expand