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Simplicial gauge theory and quantum gauge theory simulation. (English) Zbl 1229.81182
Summary: We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed for several $SU\left(2\right)$ gauge fields. Additionally, we perform simplicial Monte Carlo quantum gauge field simulations involving measurements of the action as well as differently sized Wilson loops as functions of $\beta$.
MSC:
 81T13 Yang-Mills and other gauge theories 81T25 Quantum field theory on lattices 81V05 Strong interaction, including quantum chromodynamics 35Q40 PDEs in connection with quantum mechanics 65C05 Monte Carlo methods
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