Yang–Mills for probabilists
S Chatterjee - Probability and Analysis in Interacting Physical …, 2019 - Springer
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 …
one of the central open problems of mathematical physics. Construction of Euclidean Yang …
Canonical quantization of 1+ 1-dimensional Yang-Mills theory: an operator-algebraic approach
We present a mathematically rigorous canonical quantization of Yang-Mills theory in 1+ 1
dimensions (YM $ _ {1+ 1} $) by operator-algebraic methods. The latter are based on …
dimensions (YM $ _ {1+ 1} $) by operator-algebraic methods. The latter are based on …
Asymptotic freedom in the BV formalism
We define the β-function of a perturbative quantum field theory in the mathematical
framework introduced by Costello–combining perturbative renormalization and the BV …
framework introduced by Costello–combining perturbative renormalization and the BV …
The leading term of the Yang–Mills free energy
S Chatterjee - Journal of Functional Analysis, 2016 - Elsevier
This article gives an explicit formula for the leading term of the free energy of three-
dimensional U (N) lattice gauge theory for any N, as the lattice spacing tends to zero. The …
dimensional U (N) lattice gauge theory for any N, as the lattice spacing tends to zero. The …
A Functional Integral Approaches to the Makeenko–Migdal Equations
BK Driver - Communications in Mathematical Physics, 2019 - Springer
Abstract Makeenko and Migdal (Phys Lett B 88 (1): 135–137, 1979) gave heuristic identities
involving the expectation of the product of two Wilson loop functionals associated to splitting …
involving the expectation of the product of two Wilson loop functionals associated to splitting …
Wilson loop area law for 2D Yang-Mills in generalized axial gauge
T Nguyen - arxiv preprint arxiv:1601.04726, 2016 - arxiv.org
We prove that Wilson loop expectation values for arbitrary simple closed contours obey an
area law up to second order in perturbative two-dimensional Yang-Mills theory. Our analysis …
area law up to second order in perturbative two-dimensional Yang-Mills theory. Our analysis …
Stochastic Feynman Rules for Yang-Mills Theory on the Plane
T Nguyen - arxiv preprint arxiv:1607.07463, 2016 - arxiv.org
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 …
method based on an algebraic analogue of stochastic calculus. Such an analogue involves …