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- W1990641567 abstract "We investigate dynamical chiral symmetry breaking in unquenched ${mathrm{Q}mathrm{E}mathrm{D}}_{3}$ using the coupled set of Dyson-Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its Ward-Green-Takahashi identity. We present self-consistent analytical solutions in the infrared as well as numerical results for all momenta. In Landau gauge, we find a phase transition at a critical number of flavors of ${N}_{f}^{mathrm{c}mathrm{r}mathrm{i}mathrm{t}}ensuremath{approx}4$. In the chirally symmetric phase the infrared behavior of the propagators is described by power laws with interrelated exponents. For ${N}_{f}=1$ and ${N}_{f}=2$ we find small values for the chiral condensate in accordance with bounds from recent lattice calculations. We investigate the Dyson-Schwinger equations in other linear covariant gauges as well. A comparison of their solutions to the accordingly transformed Landau gauge solutions shows that the quenched solutions are approximately gauge covariant, but reveals a significant amount of violation of gauge covariance for the unquenched solutions." @default.
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- W1990641567 date "2004-10-07" @default.
- W1990641567 modified "2023-10-16" @default.
- W1990641567 title "Dynamical chiral symmetry breaking in unquenched<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mrow><mml:mi mathvariant=normal>Q</mml:mi><mml:mi mathvariant=normal>E</mml:mi><mml:mi mathvariant=normal>D</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub></mml:math>" @default.
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- W1990641567 doi "https://doi.org/10.1103/physrevd.70.073007" @default.
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