3 citations · 8 across the 5 of their papers we have counts for
8 papers
Anomalous diffusion and factor ordering in (1+1)-dimensional Lorentzian quantum gravity
Elijah Sanderson, Rachel Lash Maitra, AJ Liberatore
Using properties of diffusion according to a quantum heat kernel constructed as an expectation over classical heat kernels on , we probe the non-manifold-like nature of quanti…
A Euclidean Signature Semi-Classical Program
Antonella Marini, Rachel Maitra, Vincent Moncrief
In this article we discuss our ongoing program to extend the scope of certain, well-developed microlocal methods for the asymptotic solution of Schrödinger's equation (for suitable…
Orbit Space Curvature as a Source of Mass in Quantum Gauge Theory
Vincent Moncrief, Antonella Marini, Rachel Maitra
It has long been realized that the natural orbit space for non-abelian Yang-Mills dynamics is a positively curved (infinite dimensional) Riemannian manifold. Expanding on this resu…
Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
John Haga, Rachel Lash Maitra
We develop a mathematically rigorous path integral representation of the time evolution operator for a model of (1+1) quantum gravity that incorporates factor ordering ambiguity. I…
Euclidean signature semi-classical methods for bosonic field theories: interacting scalar fields
Antonella Marini, Rachel Maitra, Vincent Moncrief
Elegant 'microlocal' methods have long since been extensively developed for the analysis of conventional Schroedinger eigenvalue problems. For technical reasons though these method…
Modified Semi-Classical Methods for Nonlinear Quantum Oscillations Problems
Vincent Moncrief, Antonella Marini, Rachel Maitra
We develop a modified semi-classical approach to the approximate solution of Schrodinger's equation for certain nonlinear quantum oscillations problems. At lowest order, the Hamilt…