The dual gauge fixing property of the S matrix

Abstract

The $S$-matrix is known to be independent of the gauge fixing parameter to all orders in perturbation theory. In this paper by employing the pinch technique we prove at one loop a stronger version of this independence. In particular we show that one can use a gauge fixing parameter for the gauge bosons inside quantum loops which is different from that used for the bosons outside loops, and the $S$-matrix is independent from both. Possible phenomenological applications of this result are briefly discussed.

17 pages, Latex

References in corpus (7)

• Application of the Background-Field Method to the electroweak Standard Model
• On the connection between the pinch technique and the background field method
• Universality of the Pinch Technique Gauge Boson Self-Energies
• Gauge Invariant three Boson Vertices and their Ward Identities in the Standard Model
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory via the Pinch Technique
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique

Cited by in corpus (2)

• Gauge- and Renormalization-Group- Invariant Formulation of the Higgs-Boson Resonance
• Gauge-independent resummed gluon self-energy in hot QCD