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This document summarizes the calculation of the curvature-matter coupling coefficient κ for the 3+1 dimensional O(N) model in the large N limit. The author calculates κ exactly for any coupling value in this model. While the O(N) model has a Landau pole, making it trivial, κ can still be calculated non-perturbatively below the Landau pole scale. The author expects these exact large N results to provide good quantitative predictions for scalar field theory with φ4 interaction when N=1. The calculation of κ i

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