Gauge Dependence of the Wave-Function Renormalization Constant in Quantum Electrodynamics

1959 ◽  
Vol 3 (7) ◽  
pp. 351-352 ◽  
Author(s):  
Kenneth Johnson ◽  
Bruno Zumino
Keyword(s):  
Wave Function ◽  
Quantum Electrodynamics ◽  
Renormalization Constant ◽  
Wave Function Renormalization ◽  
Gauge Dependence ◽  
Wave Function Renormalization Constant

PHASE STRUCTURE OF QED3 AT FINITE CHEMICAL POTENTIAL AND TEMPERATURE

2007 ◽  
Vol 22 (06) ◽  
pp. 449-456 ◽  
Author(s):  
MIN HE ◽  
HONG-TAO FENG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Phase Diagram ◽  
Wave Function ◽  
Symmetry Breaking ◽  
Quantum Electrodynamics ◽  
Phase Structure ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Mass Function ◽  
Wave Function Renormalization

We study the dynamical chiral symmetry breaking (DCSB) of three-dimensional quantum electrodynamics (QED3) at finite chemical potential and temperature in the framework of Dyson–Schwinger approach. Based on the rainbow approximation and assumption that the wave-function renormalization factor equals to one, the dynamically generated mass function is derived and then the corresponding phase diagram in the (T, μ) plane is obtained.

ON AN AMBIGUOUS INTEGRAL IN QUANTUM ELECTRODYNAMICS

1967 ◽  
Vol 45 (1) ◽  
pp. 1-5
Author(s):  
Robert E. Pugh
Keyword(s):  
Wave Function ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Wave Function Renormalization ◽  
Gauge Invariant ◽  
Photon Field

An integral that appears in several contexts in quantum electrodynamics is evaluated without the usual ambiguity. The result is applied to (1) the contribution of vacuum polarization to the interpolating photon field, (2) wave-function renormalization, and (3) a gauge-independent formulation of quantum electrodynamics. In the first two cases the expected results are obtained, while in the last case the particular formulation is shown to be, in fact, not gauge invariant.

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