JaxLatt is a high-performance lattice field theory simulation library built on JAX, designed for researchers in cosmology and high-energy physics. It provides efficient implementations of scalar and gauge field dynamics on discrete lattices, leveraging JAX's automatic differentiation and GPU acceleration capabilities.
Example: Scalar Field Evolution in 2D
Let's consider the simple example of a 2D scalar field evolving under a double-well potential:
$\mathcal{L} = \frac{1}{2} \partial_\mu \varphi \partial^\mu \varphi - V(\varphi)$ , where $V(\varphi)= -\frac12\mu ^2 \varphi ^2 + \frac{\lambda}{4} \varphi ^4$
This animation shows the evolution of a 2D scalar field undergoing a phase transition, visualized as a heatmap. The simulation captures domain formation and topological defects, demonstrating JaxLatt's capabilities in handling complex field dynamics efficiently.
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