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The heavy quark decomposition of the S-matrix and its relation to the pinch technique
High Energy Physics - Theory · Submitted 11 Oct 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique.
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The abstract, sentence by sentence
We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale. We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique. The generalization of this procedure to arbitrary gluonic $n$-point functions is briefly discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. | contribution 1.00 | 0.91 | 0.25 | asserted 0.91 |
| s1 | This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale. | method 0.98 | 0.81 | 0.07 | asserted 1.00 |
| s2 | We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique. | result 1.00 | 0.94 | 0.64 | asserted 1.00 |
| s3 | The generalization of this procedure to arbitrary gluonic $n$-point functions is briefly discussed. | future work 0.70 | 0.64 | 0.05 | asserted 0.47 |
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The paper
Original abstract
We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale. We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique. The generalization of this procedure to arbitrary gluonic $n$-point functions is briefly discussed.
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