Speaker
Description
Built from the gradient and Hessian of the Euclidean action, a new temperature estimator for lattice gauge theories is being introduced. Drawing from geometric statistical methods, the estimator offers a gauge-invariant and momentum-free tool for checking thermodynamic consistency in Monte Carlo simulations. Rather than adjusting temperature indirectly through lattice size or coupling, this estimator pulls an effective temperature directly from field configurations. This allows for an independent evaluation of thermalization and sampling accuracy. In this work, the estimator is used with compact U(1) lattice gauge theories in one, two, and four dimensions. The measured temperatures are compared to input values across a wide range of couplings and lattice sizes. The method consistently produces target temperatures and is reliable against discretization effects and algorithmic artifacts. The estimator also acts as a tool to identify sampling defects, slow thermalization, and implementation errors in large-scale simulations. Future possibilities include extensions for non-Abelian gauge theories, anisotropic lattices, and inclusion in hybrid Monte Carlo workflows.
