ar X iv : h ep - t h / 05 06 04 5 v 1 6 J un 2 00 5 A solution to Ward - Takahashi - identity in QED

ar X iv : h ep - t h / 05 06 04 5 v 3 3 J ul 2 00 5 A solution to Ward - Takahashi - identity in QED

Abstract We discuss the properties of fermion propagator in three dimensional QED with dressed photon based on spectral representation.Ward-Takahashi-identity among multi-photon-fermion amplitudes is given by the LSZ reduction formula and low-energy theorem.Simplest solution of this identity leads the spectral function which is obtained by exponentiating one photon matrix element.Massless vacuu...

ar X iv : h ep - t h / 05 06 04 5 v 2 2 4 Ju n 20 05 A solution to Ward - Takahashi - identity in QED 3

Abstract We discuss the properties of fermion propagator in three dimensional QED with dressed photon based on spectral representation.Ward-Takahashi-identity among multi-photon-fermion amplitudes is given by the LSZ reduction formula and low-energy theorem.Simplest solution of this identity leads the spectral function which is obtained by exponentiating one photon matrix element.Massless vacuu...

ar X iv : h ep - t h / 05 06 04 5 v 4 7 A ug 2 00 5 A solution to Ward - Takahashi - identity in QED 3

Abstract We discuss the properties of fermion propagator in three dimensional QED with dressed photon based on spectral representation.Massless vacuum polarization decreases the finite mass shift and position dependent mass at short distance.Effects of mass generation is expressed as the integral representation of the spectral function of different mass.Qualitaive properties are the same with q...

ar X iv : h ep - p h / 05 06 27 0 v 1 27 J un 2 00 5 Coupled - channel model for charmonium levels and an option for X ( 3872 )

ar X iv : h ep - t h / 05 05 16 9 v 1 1 8 M ay 2 00 5 Manifestly gauge invariant QED

We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. Calculations can be performed almost entirely diagrammatically. The method is formulated within the framework of an exact renormalisation group for QED. We demonst...