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.
Similar content being viewed by others
References
Reisz, T.: A power counting theorem for Feynman integrals on the lattice. Commun. Math. Phys.116, (1988)
Lowenstein, J. H., Zimmermann, W.: The power counting theorem for Feynman integrals with massless propagators. Commun. Math. Phys.44, 73–86 (1975)
Bandelloni, G., Becchi, C., Blasi, A., Collina, R.: Renormalization of models with radiative mass generation. Commun. Math. Phys.67, 147–178 (1978)
Lowenstein, J. H., Zimmermann, W.: On the formulation of theories with zero-mass propagators. Nucl. Phys.B86, 77 (1975)
Lowenstein, J. H.: Convergence theorems for renormalized Feynman integrals with zero-mass propagators. Commun. Math. Phys.47, 53–68 (1976)
Reisz, T.: Renormalization of lattice Feynman integrals with massless propagators. Commun. Math. Phys. (in press)
Author information
Authors and Affiliations
Additional information
Communicated by A. Jaffe
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01224902