Dihedral Invariant Polynomials in the effective Lagrangian of QED
High Energy Physics - Theory
2019-06-05 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We present a new group-theoretical technique to calculate weak field expansions for some Feynman diagrams using invariant polynomials of the dihedral group. In particular we show results obtained for the first coefficients of the three loop effective lagrangian of 1+1 QED in an external constant field, where the dihedral symmetry appears. Our results suggest that a closed form involving rational numbers and the Riemann zeta function might exist for these coefficients.
Keywords
Cite
@article{arxiv.1906.01041,
title = {Dihedral Invariant Polynomials in the effective Lagrangian of QED},
author = {Idrish Huet and Michel Rausch de Traubenberg and Christian Schubert},
journal= {arXiv preprint arXiv:1906.01041},
year = {2019}
}
Comments
Proceedings of the 32nd International Colloquium on Group Theoretical Methods in Physics