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2013

Chiral Symmetry Restoration and Scalar-Pseudoscalar partners in QCD

Nicola, A. Gomez, de Elvira, J. Ruiz, Andres, R. Torres

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We describe Scalar-Pseudoscalar partner degeneration at the QCD chiral transition in terms of the dominant low-energy physical states for the light quark sector.

First, we obtain within model-independent one-loop Chiral Perturbation Theory (ChPT) that the QCD pseudoscalar susceptibility is proportional to the quark condensate at low $T$.
Next, we show that this chiral-restoring behaviour for $\chi_P$ is compatible with recent lattice results for screening masses and gives rise to degeneration between the scalar and pseudoscalar susceptibilities ($\chi_S$, $\chi_P$) around the transition point, consistently with an O(4)-like current restoration pattern.
This scenario is clearly confirmed by lattice data when we compare $\chi_S(T)$ with the quark condensate, expected to scale as $\chi_P(T)$.

Chiral Symmetry Restoration and Scalar-Pseudoscalar partners in QCD · Around

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P. Boucaud et al
2010
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A. Gomez Nicola, J. R. Pelaez and J. Ruiz de Elvira, Phys. Rev. D 82
2010
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P. Huovinen and P. Petreczky, Nucl. Phys. A 837
2010
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2011
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M. Cheng et al
2011
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2012
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