Dihedral Invariant Polynomials in the effective Lagrangian of QED

Affiliation
Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas Ciudad Universitaria
Huet, Idrish;
Affiliation
Université de Strasbourg, CNRS, IPHC UMR7178
de Traubenberg, Michel Rausch;
Affiliation
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo Apdo. Postal 2-82
Schubert, Christian

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.

Cite

Citation style:
Could not load citation form.

Rights

License Holder: Published under licence by IOP Publishing Ltd

Use and reproduction: