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Infrared behavior of the gluon propagator: Confining or confined?

Kirsten Büttner, M. R. Pennington

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Abstract

The possible infrared behavior of the gluon propagator is studied analytically, using the Schwinger-Dyson equations, in both the axial and the Landau gauge. The possibility of a gluon propagator less singular than 1/${\mathit{k}}^{2}$ when ${\mathit{k}}^{2}$\ensuremath{\rightarrow}0 is investigated and found to be inconsistent, despite claims to the contrary, whereas an infrared enhanced one is consistent. The implications for confinement are discussed.

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The possible infrared behavior of the gluon propagator is studied analytically, using the Schwinger-Dyson equations, in both the axial and the Landau gauge. The possibility of a gluon propagator less singular than 1/${\mathit{k}}^{2}$ when ${\mathit{k}}^{2}$\ensuremath{\rightarrow}0 is investigated and found to be inconsistent, despite claims to the contrary, whereas an infrared enhanced one is consistent. The implications for confinement are discussed.

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Available abstract

The possible infrared behavior of the gluon propagator is studied analytically, using the Schwinger-Dyson equations, in both the axial and the Landau gauge. The possibility of a gluon propagator less singular than 1/${\mathit{k}}^{2}$ when ${\mathit{k}}^{2}$\ensuremath{\rightarrow}0 is investigated and found to be inconsistent, despite claims to the contrary, whereas an infrared enhanced one is consistent. The implications for confinement are discussed.

Key concepts: Propagator, Gluon, Infrared, Physics, Mathematical physics, Gauge (firearms), Quantum electrodynamics, Quantum mechanics

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