Simplicial gauge theory and quantum gauge theory simulation |
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Authors: | Tore Gunnar Halvorsen |
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Affiliation: | a Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway b Centre of Mathematics for Applications, University of Oslo, NO-0316 Oslo, Norway |
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Abstract: | 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(2) 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 β. |
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Keywords: | 35Q40 74S05 81T13 81T25 |
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