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Quantum field theory for discrepancies II: 1/N corrections using fermions

A. van Hameren·R. Kleiss·C. G. Papadopoulos
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Abstract

We calculate the 1/N corrections to the probability distributions of quadratic discrepancies for sets of N random points. This is achieved by the introduction of fermionic variables. We give the diagrammatic expansion up to and including the second order in 1/N. For some discrepancies, we give the explicit expansion to first order.

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A. van Hameren, R. Kleiss, C. G. Papadopoulos. 1999-04-12. Quantum field theory for discrepancies II: 1/N corrections using fermions. https://doi.org/10.1016/s0550-3213(99)00409-5

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