Renormalization of QED in an external field
نویسنده
چکیده
The Schwinger equations of QED are rewritten in three different ways as integral equations involving functional derivatives, which are called weak field, strong field, and SCF quantum electrodynamics. The perturbative solutions of these equations are given in terms of appropriate Feynman diagrams. The Green function that is used as an electron propagator in each case is discussed in detail. The general renormalization rules for each of the three equations are provided both in a non perturbative way (Dyson relations) and for Feynman diagrams. PACS. 12.20.-m Quantum electrodynamics – 11.10.Gh Renormalization
منابع مشابه
QED effective action at finite temperature and density.
The QED effective action at finite temperature and density is calculated to all orders in an external homogeneous and time-independent magnetic field in the weak coupling limit. The free energy, obtained explicitly, exhibit the expected de Haas – van Alphen oscillations. An effective coupling at finite temperature and density is derived in a closed form and is compared with renormalization grou...
متن کاملExtended BRS Symmetry and Gauge Independence in On-Shell Renormalization Schemes
Extended BRS symmetry is used to prove gauge independence of the fermion renormalization constant Z2 in on-shell QED renormalization schemes. A necessary condition for gauge independence of Z2 in on-shell QCD renormalization schemes is formulated. Satisfying this necessary condition appears to be problematic at the three-loop level in QCD. In on-shell schemes, the fermion mass renormalization Z...
متن کاملFunctional Callan-symanzik Equation for Qed
An exact evolution equation, the functional generalization of the CallanSymanzik method, is given for the effective action of QED where the electron mass is used to turn the quantum fluctuations on gradually. The usual renormalization group equations are recovered in the leading order but no Landau pole appears. Introduction: The idea of dimensional transmutation [1] is that a dimensionless par...
متن کاملNoncommutative renormalization for massless QED
We study the renormalization of massless QED from the point of view of the Hopf algebra discovered by D. Kreimer. For QED, we describe a Hopf algebra of renormalization which is neither commutative nor cocommutative. We obtain explicit renormalization formulas for the electron and photon propagators, for the vacuum polarization and the electron self-energy, which are equivalent to Zimmermann’s ...
متن کاملRenormalization using Domain Wall Regularization
We formulate the renormalization procedure using the domain wall regularization which is based on the heat-kernel method. The Weyl anomalies for the 2D QED and 4D QED are correctly reproduced. It is found that the “chiral solution” produces (1/2) × correct vales, where d is the space dimension. The renormalization procedure is newly formulated, where both fermions and bosons (gauge fields) are ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008