Finite-temperature chiral transition in QCD with quarks in the fundamental and adjoint representation

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dc.creatorBasile, Francesco
dc.creatorPelissetto, Andrea
dc.creatorVicari, Ettore
dc.date2005-09-08
dc.date.accessioned2026-07-07T06:23:34Z
dc.date.available2026-07-07T06:23:34Z
dc.descriptionWe study the nature of the finite-temperature chiral transition in QCD with N_f light quarks in the fundamental and adjoint representation. Universality and renormalization-group (RG) arguments show that the possibility of having a continuous transition is related to the existence of a stable fixed point (FP) in the RG flow of a 3D Landau-Ginzburg-Wilson Phi^4 theory with the same chiral symmetry-breaking pattern. The RG flow of these theories is studied by field-theoretical approaches, computing and analyzing high-order perturbative series, up to six loops. According to this RG analysis, the transition in QCD can be continuous only for N_f=2. In this case it belongs to the 3D O(4) universality class. We also find a stable FP corresponding to a 3D universality class with symmetry breaking U(2)_L x U(2)_R -> U(2)_V, which implies that the transition can be continuous also if the axial-anomaly effects are suppressed at Tc. In the case of quarks in the adjoint representation, we can have a continuous transition for N_f=1,2. For N_f=1 it belongs to the O(3) universality class. For N_f=2 it belongs to a new 3D universality class characterized by the symmetry breaking SU(4)->SO(4).
dc.description6 pages, Talk presented at Lattice 2005 (Non-zero temperature and density), Dublin, July 25-30, 2005
dc.identifierhttps://arxiv.org/abs/hep-lat/0509018
dc.identifierhttp://arxiv.org/abs/hep-lat/0509018
dc.identifierPoS LAT2005 (2005) 199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96277
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFinite-temperature chiral transition in QCD with quarks in the fundamental and adjoint representation
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