5 papers
A Response to Economics as Gauge Theory
Timothy Nguyen
We provide an analysis of the recent work by Malaney-Weinstein on "Economics as Gauge Theory" presented on November 10, 2021 at the Money and Banking Workshop hosted by University…
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…
Anisotropic Function Spaces and Elliptic Boundary Value Problems
Timothy Nguyen
In this paper, we study anisotropic Bessel potential and Besov spaces, where the anisotropy measures the extra amount of regularity in certain directions. Some basic properties of…