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HK: Fachverband Physik der Hadronen und Kerne

HK 13: Schwerionenkollisionen und QCD Phasen

HK 13.4: Talk

Monday, March 17, 2014, 17:30–17:45, HZ 7

Hadron masses and baryonic scales in G₂-QCD at finite density — •Bjoern Wellegehausen¹, Lorenz von Smekal¹, Andreas Wipf², and Axel Maas² — ¹JLU Giessen — ²FSU Jena

Due to the fermion sign problem, the QCD phase diagram at high baryon densities is not accessible with standard lattice Monte-Carlo methods. G₂-QCD, for which the SU(3) gauge group of QCD is replaced by the exceptional Lie group G₂, does not have a sign problem and can be simulated at such densities using standard lattice techniques. It thus provides benchmarks to models and functional continuum methods, and it serves to unravel the nature of possible phases of strongly interacting matter at high densities. Instrumental in understanding these phases is that G₂-QCD has fermionic baryons, and that it can therefore sustain a baryonic Fermi surface. Because the baryon spectrum of G₂-QCD also contains bosonic diquark and probably other more exotic states, it is important to understand this spectrum before one can disentangle the corresponding contributions to the baryon density. Here we present the first systematic study of this spectrum from lattice simulations at different quark masses. This allows us to relate the mass hierarchy, ranging from scalar would-be-Goldstone bosons and intermediate vector bosons to the G₂-nucleons and deltas, to individual structures observed in the total baryon density at finite chemical potential.