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At zero temperature the negative-parity ground states of the nucleon anddelta baryons are non-degenerate with the positive-parity partners due tospontaneous breaking of chiral symmetry. However, chiral symmetry is expectedto be restored at sufficiently high temperature, in particular when going fromthe hadronic to the quark-gluon plasma (QGP) phase. This would imply thatchannels with opposite parity become degenerate. We study the nucleon (spin$1/2$) and $\Delta$ (spin $3/2$) baryons in both parity sectors using latticeQCD. The range of temperatures spans both the hadronic and QGP phases. Usingthe FASTSUM anisotropic $N_f = 2 + 1$ ensembles, we analyze the correlationfunctions and the spectral functions using respectively exponential fits andthe Maximum Entropy Method. We find clear evidence of in-medium effects in thehadronic phase, especially for the negative-parity ground state, and of paritydoubling in the QGP phase.

Parity doubling of nucleons and Delta baryons across the deconfinement phase transition