scholarly journals Chiral symmetry restoration in the three-dimensional four-fermion model at nonzero temperature and density

2001 ◽  
Vol 63 (5) ◽  
Author(s):  
J. B. Kogut ◽  
C. G. Strouthos
Keyword(s):  
Chiral Symmetry ◽  
Three Dimensional ◽  
Chiral Symmetry Restoration ◽  
Nonzero Temperature ◽  
Fermion Model

scholarly journals Deconfinement in QCD with Dynamical Quarks

1997 ◽  
Vol 12 (13) ◽  
pp. 949-961 ◽  
Author(s):  
O. Borisenko ◽  
M. Faber ◽  
G. Zinovjev
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry ◽  
Canonical Ensemble ◽  
Three Dimensional ◽  
Chiral Condensate ◽  
Chiral Symmetry Restoration ◽  
Coupling Region ◽  
Effective Potentials ◽  
Deconfinement Phase Transition ◽  
Grand Canonical

We study the phase structure of full QCD within the canonical ensemble (CE) with respect to triality in a lattice formulation. The procedure to calculate the effective potentials (EP) in the CE is given. We calculate the EP for the three-dimensional SU(2) gauge model at finite temperature in the strong coupling region. The potential exhibits a genuine deconfinement phase transition unlike the similar potential obtained in the grand canonical ensemble (GCE). Furthermore, we investigate the EP with the chiral condensate included. Contrary to other recent results we find chiral symmetry restoration in all triality sectors. Dealing with massless staggered fermions we observe chiral symmetry restoration accompanying a deconfinement phase transition of first-order. Above the critical point, besides two Z(2) symmetric "deconfining" vacua there exists a metastable "confining" vacuum in a wide region of the (Nt,γ)-plane. Such a picture could be interpreted as an indication for a mixed state of hadrons and quarks in the vicinity of the critical line.

scholarly journals Chiral symmetry restoration at nonzero temperature in theSU(3)r×SU(3)llinear sigma model

2000 ◽  
Vol 62 (8) ◽  
Author(s):  
Jonathan T. Lenaghan ◽  
Dirk H. Rischke ◽  
Jürgen Schaffner-Bielich
Keyword(s):  
Chiral Symmetry ◽  
Sigma Model ◽  
Chiral Symmetry Restoration ◽  
Nonzero Temperature

scholarly journals Emergent chiral symmetry in a three-dimensional interacting Dirac liquid

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
András L. Szabó ◽  
Bitan Roy
Keyword(s):  
Fixed Points ◽  
Chiral Symmetry ◽  
Rotational Symmetry ◽  
Three Dimensional ◽  
Spatial Dimension ◽  
Dirac Fermions ◽  
Electronic Interactions ◽  
Emergent Phenomena ◽  
Ordered Phases ◽  
The Stability

Abstract We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1) ⊗ SU(2) chiral symmetry. A concrete lattice realization of such chiral Dirac excitations is presented, and the role of electron-electron interactions is studied by performing a field theoretic renormalization group (RG) analysis, controlled by a small parameter ϵ with ϵ = d−1, about the lower-critical one spatial dimension. Besides the noninteracting Gaussian fixed point, the system supports four quantum critical and four bicritical points at nonvanishing interaction couplings ∼ ϵ. Even though the chiral symmetry is absent in the interacting model, it gets restored (either partially or fully) at various RG fixed points as emergent phenomena. A representative cut of the global phase diagram displays a confluence of scalar and pseudoscalar excitonic and superconducting (such as the s-wave and p-wave) mass ordered phases, manifesting restoration of (a) chiral U(1) symmetry between two excitonic masses for repulsive interactions and (b) pseudospin SU(2) symmetry between scalar or pseudoscalar excitonic and superconducting masses for attractive interactions. Finally, we perturbatively study the effects of weak rotational symmetry breaking on the stability of various RG fixed points.

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