Asymptotic nonlocality in gauge theories
Abstract
Asymptotically nonlocal field theories represent a sequence of higherderivative theories whose limit point is a ghostfree, infinitederivative theory. Here we extend this framework, developed previously in a theory of real scalar fields, to gauge theories. We focus primarily on asymptotically nonlocal scalar electrodynamics, first identifying equivalent gaugeinvariant formulations of the Lagrangian, one with higherderivative terms and the other with auxiliary fields instead. We then study mass renormalization of the complex scalar field in each formulation, showing that an emergent nonlocal scale (i.e., one that does not appear as a fundamental parameter in the Lagrangian of the finitederivative theories) regulates loop integrals as the limiting theory is approached, so that quadratic divergences can be hierarchically smaller than the lightest LeeWick partner. We conclude by making preliminary remarks on the generalization of our approach to nonAbelian theories, including an asymptotically nonlocal standard model.
 Publication:

Physical Review D
 Pub Date:
 November 2021
 DOI:
 10.1103/PhysRevD.104.095020
 arXiv:
 arXiv:2109.06261
 Bibcode:
 2021PhRvD.104i5020B
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 Minor errors corrected. 30 pages LaTeX, 3 figures