Variational Approach to Real-Time Evolution of Yang-Mills Gauge Fields on a Lattice
C. Gong, B. Mueller, and T.S. Biro
TL;DR
This paper develops a variational method using a Gaussian wave ansatz to derive semi-classical evolution equations for SU(2) lattice gauge fields, enabling the study of quantum effects on classical field evolution.
Contribution
It introduces a novel variational approach to derive semi-classical evolution equations for lattice gauge fields using a Gaussian wave ansatz.
Findings
Derived semi-classical evolution equations for SU(2) lattice gauge fields
Showed classical equations emerge in the limit of zero Gaussian width
Enabled analysis of quantum effects on classical gauge field dynamics
Abstract
Applying a variational method to a Gaussian wave ansatz, we have derived a set of semi-classical evolution equations for SU(2) lattice gauge fields, which take the classical form in the limit of a vanishing width of the Gaussian wave packet. These equations are used to study the quantum effects on the classical evolutions of the lattice gauge fields.
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