10 citations · 26 across the 8 of their papers we have counts for
5 papers · 1 filter
Stochastic Feynman Rules for Yang-Mills Theory on the Plane
Timothy Nguyen
We analyze quantum Yang-Mills theory on using a novel discretization method based on an algebraic analogue of stochastic calculus. Such an analogue involves working…
Wilson Loop Area Law for 2D Yang-Mills in Generalized Axial Gauge
Timothy Nguyen
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 analysi…
Quantum Yang-Mills Theory in Two Dimensions: Exact versus Perturbative
Timothy Nguyen
The standard Feynman diagrammatic approach to quantum field theories assumes that perturbation theory approximates the full quantum theory at small coupling even when a mathematica…
The Perturbative Approach to Path Integrals: A Succinct Mathematical Treatment
Timothy Nguyen
We study finite-dimensional integrals in a way that elucidates the mathematical meaning behind the formal manipulations of path integrals occurring in quantum field theory. This in…
Quantization of the Nonlinear Sigma Model Revisited
Timothy Nguyen
We revisit the subject of perturbatively quantizing the nonlinear sigma model in two dimensions from a rigorous, mathematical point of view. Our main contribution is to make precis…