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Expansion of bound-state energies in powers of m/M
Andrzej Czarnecki, Kirill Melnikov
We describe a new approach to computing energy levels of a non-relativistic bound-state of two constituents with masses M and m, by a systematic expansion in powers of m/M. After d…
O(alpha^3 ln alpha) corrections to muonium and positronium hyperfine splitting
Kirill Melnikov, Alexander Yelkhovsky
We compute O(alpha^3 ln alpha) relative corrections to the ground state hyperfine splitting of a QED two body bound state with different masses of constituents. The general result…
O(alpha^3 ln alpha) corrections to positronium decay rates
Kirill Melnikov, Alexander Yelkhovsky
We compute O(alpha^3 ln alpha) corrections to the decay rates of para- and orthopositronium into two and three photons, respectively. For this calculation we employ the nonrelativi…
Anomalous magnetic moment of a bound electron
Andrzej Czarnecki, Kirill Melnikov, Alexander Yelkhovsky
We study binding corrections to the gyromagnetic factor g_e of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta g_r…
The three loop on-shell renormalization of QCD and QED
Kirill Melnikov, Timo van Ritbergen
We describe a calculation of the on-shell renormalization factors in QCD and QED at the three loop level. Explicit results for the fermion mass renormalization factor Zm and the on…
The Lattice Schwinger Model: Confinement, Anomalies, Chiral Fermions and All That
Kirill Melnikov, Marvin Weinstein
In order to better understand what to expect from numerical CORE computations for two-dimensional massless QED (the Schwinger model) we wish to obtain some analytic control over th…