Conformal anomaly for massless quantum electrodynamics in spherical spacetime

1980 ◽  
Vol 21 (8) ◽  
pp. 2226-2234 ◽  
Author(s):  
G. M. Shore
1989 ◽  
Vol 227 (3-4) ◽  
pp. 474-478 ◽  
Author(s):  
A.S. Gorsky ◽  
B.L. Ioffe ◽  
A.Yu. Khodjamirian

1988 ◽  
Vol 66 (3) ◽  
pp. 268-278 ◽  
Author(s):  
D. G. C. McKeon ◽  
S. S. Samant ◽  
T. N. Sherry

We pursue operator regularization beyond lowest order. In lowest order, it is the determinants of operators that are regulated; beyond lowest order it is the inverses of operators. As in lowest order, operator regularization to two-loop order and beyond avoids explicit infinities both in the integrals that are evaluated and in the regulating parameter s as it approaches its limiting value of zero. Operator regularization also replaces the Feynman diagrammatic expansion with an expansion due to Schwinger. No explicit symmetry-breaking regulating parameter is inserted into the original Lagrangian. We illustrate our technique by examining the two-point function in [Formula: see text] scalar theory, the effective potential in [Formula: see text] scalar theory, the vacuum polarization in massless quantum electrodynamics, and the two-point function in the Wess–Zumino model using both the superfield and component-field formalism. In all cases we find expressions that are divergence free and remain finite as the regulating parameter approaches its limiting value. In the final model we explicitly show that the supersymmetry Ward identity for the two-point functions is satisfied to two-loop order.


2014 ◽  
Vol 90 (12) ◽  
Author(s):  
B. Charneski ◽  
A. C. Lehum ◽  
A. J. da Silva

1990 ◽  
Vol 05 (09) ◽  
pp. 1789-1800 ◽  
Author(s):  
M. UKITA ◽  
M. KOMACHIYA ◽  
R. FUKUDA

The strong coupling phase of massless Quantum Electrodynamics is studied in a gauge invariant way. The formalism is given in which the order parameter of the chiral symmetry breaking is calculated through the vacuum polarization diagrams. Applying this method, the critical coupling constant is shown to exist that is independent of the gauge parameter but is now dependent on the ratio of the two kinds of cutoff. Implication of this new parameter on the renormalization scheme in the strong coupling phase is discussed.


1991 ◽  
Vol 273 (4) ◽  
pp. 519-527 ◽  
Author(s):  
T. Inagaki ◽  
R. Fukuda

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