scholarly journals Ward Identity of Dilatation Current in Conformal-Invariant Quantum Electrodynamics

1980 ◽  
Vol 63 (2) ◽  
pp. 627-640
Author(s):  
Y. Matsubara
Keyword(s):  
Quantum Electrodynamics ◽  
Ward Identity ◽  
Conformal Invariant ◽  
Dilatation Current ◽  
Invariant Quantum

TOWARDS A CONFORMAL QED4 WITH A NONVANISHING CURRENT 2-POINT FUNCTION

1988 ◽  
Vol 03 (04) ◽  
pp. 1023-1049 ◽  
Author(s):  
YASSEN S. STANEV ◽  
IVAN T. TODOROV
Keyword(s):  
Quantum Electrodynamics ◽  
Anomalous Dimension ◽  
Operator Product ◽  
Indefinite Metric ◽  
Conformal Invariant ◽  
Point Function ◽  
Four Dimensions ◽  
Conformally Invariant ◽  
Longitudinal Correlation ◽  
Electron Field

The possibility of constructing a conformally invariant model of spinor quantum electrodynamics (QED) in four dimensions involving an anomalous dimension of the electron field and a general indecomposable conformal law for the Maxwell field Fµν is studied within the local indefinite metric framework making systematic use of conformal operator product expansions (OPEs). It is demonstrated that the standard elementary conformal law for Fµν, which is known to yield a vanishing current-current 2-point function leads to a trivial theory. On the other hand, the conformal invariant 2-point function <Jμ(x1)Jν(x2)> (proportional to the second order perturbation theory expression in a massless QED) gives rise to a soluble conformal model involving [Formula: see text] and a vector field Vµ with longitudinal correlation function. The question whether the model can be extended to include Fµν (rather than its divergence) remains unresolved.

Effective Lagrangian for scale-invariant quantum electrodynamics

1992 ◽  
Vol 45 (12) ◽  
pp. 4672-4680 ◽  
Author(s):  
William A. Bardeen ◽  
Sherwin T. Love
Keyword(s):  
Quantum Electrodynamics ◽  
Scale Invariant ◽  
Effective Lagrangian ◽  
Invariant Quantum
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