ﻻ يوجد ملخص باللغة العربية
The weak-field expansion of the charged fermion propagator under a uniform magnetic field is studied. Starting from Schwingers proper-time representation, we express the charged fermion propagator as an infinite series corresponding to different Landau levels. This infinite series is then reorganized according to the powers of the external field strength $B$. For illustration, we apply this expansion to $gammato ubar{ u}$ and $ uto ugamma$ decays, which involve charged fermions in the internal loop. The leading and subleading magnetic-field effects to the above processes are computed.
We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by radiative correctio
In this work, dispersion relations of $pi^0$ and $pi^{pm}$ have been studied in vacuum in the limit of weak external magnetic field using a phenomenological pion-nucleon $(pi N)$ Lagrangian. For our purpose, we have calculated the results up to one l
We develop the technique of inverse Mellin transform for processes occurring in a background magnetic field. We show by analyticity that the energy (momentum) derivatives of a field theory amplitude at the zero energy (momentum) is equal to the Melli
We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional field theories. It is based on $1/N_f$-expansion and results in a logarithmically divergent perturbation theory in arbitrary h
We study large $N$ 2+1 dimensional fermions in the fundamental representation of an $SU(N)_k$ Chern Simons gauge group in the presence of a uniform background magnetic field for the $U(1)$ global symmetry of this theory. The magnetic field modifies t