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A convergence theorem for lattice Feynman integrals with massless propagators

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Abstract

It is shown that for non-vanishing lattice spacing, conventional infrared power counting conditions are sufficient for convergence of lattice Feynman integrals with zero-mass propagators. If these conditions are supplemented by ultraviolet convergence conditions, the continuum limit of such a diagram exists and is universal.

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References

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Communicated by A. Jaffe

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Reisz, T. A convergence theorem for lattice Feynman integrals with massless propagators. Commun.Math. Phys. 116, 573–606 (1988). https://doi.org/10.1007/BF01224902

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  • DOI: https://doi.org/10.1007/BF01224902

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