Gauge dependence of the Dyson-Schwinger equation beyond the ladder approximation
Mar 30, 199218 pages
Published in:
- Nucl.Phys.B 373 (1992) 169-186
- Published: 1992
Report number:
- SHEP-91-92-1
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Abstract: (Elsevier)
We report on an explicit calculation of the next-to-leading order correction to the ladder approximation to the Dyson-Schwinger equation for a (techni-)fermion self-energy in a general covariant gauge. The resulting integral equation is solved numerically and used to estimate the fermion condensate 〈 ψ ψ〉 and the technipion decay constant F π . Our analysis shows that whereas F π is only moderately sensitive to the gauge parameter, the strong gauge dependence of 〈 ψ ψ〉 found in the ladder approximation is not diminished by these higher-order corrections.- Dyson-Schwinger equation
- dependence: gauge
- ladder approximation: correction
- fermion: condensation
- pi: technicolor
- pi: decay constant
- decay constant: pi
- vacuum polarization
- vertex function
- coupling constant
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