How tetraquarks can generate a second chiral phase transition

Abstract

We consider how tetraquarks can affect the chiral phase transition in theories like QCD, with light quarks coupled to three colors. For two flavors the tetraquark field is an isosinglet, and its effect is minimal. For three flavors, however, the tetraquark field transforms in the same representation of the chiral symmetry group as the usual chiral order parameter, and so for very light quarks there may be two chiral phase transitions, which are both of first order. In QCD, results from the lattice indicate that any transition from the tetraquark condensate is a smooth crossover. In the plane of temperature and quark chemical potential, though, a crossover line for the tetraquark condensate is naturally related to the transition line for color superconductivity. For four flavors we suggest that a triquark field, antisymmetric in both flavor and color, combine to form hexaquarks.

34 pages, 4 figures

References in corpus (26)

• Color superconductivity in dense quark matter
• The equation of state in (2+1)-flavor QCD
• The QCD equation of state with dynamical quarks
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• The transition temperature in QCD
• A Theory of Scalar Mesons
• Is f0(1710) a glueball?
• Bootstrapping phase transitions in QCD and frustrated spin systems
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Note on a sigma model connection with instanton dynamics
• Approaching conformal window of $O(n)\times O(m)$ symmetric Landau-Ginzburg models from conformal bootstrap
• Role of the tetraquark in the chiral phase transition
• Two chiral nonet model with massless quarks
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• Model for light scalars in QCD
• Tetraquarks in the 1/N expansion and meson-meson resonances
• $a_1(1420)$ resonance as a tetraquark state and its isospin partner
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• Fluctuation induced first order phase transition in U(n)xU(n) models using chiral invariant expansion of functional renormalization group flows
• Chiral Nonet Mixing in ${\eta }^{\prime }\to \eta \pi \pi$ Decay
• Can experiment distinguish tetraquark scalars, molecules and $\qq$ mesons?
• Probing the substructure of $f_0(1370)$
• The scalar-isovector sector in the extended Linear Sigma Model

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• Charmed Baryon ${\Lambda }_c$ in Nuclear Matter
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• Wilson loops in the Hamiltonian formalism
• Neutron Star Mergers and the Quark Matter Equation of State
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach