Strong coupling QCD with SU(2) gauge fields at finite Baryon number density

Klaetke, J.-U.; Mütter, K.-H.

doi:10.1016/0550-3213(90)90337-d

Cited by 20 publications

(35 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although the strong coupling limit is a drastic approximation which neglects the gauge dynamics completely, it is amazing that only the Dirac determinant with random gluon fields can grasp rich contents of quark matter not only in the two-color case [2,5,20] but also in the general case [3,40,41,42,43,44,45,46,47,48,49]. In a box with volume V = L 4 , the operator D is a (4N c V ) × (4N c V ) matrix.…”

Section: Two-color Qcd At Strong Couplingmentioning

confidence: 99%

“…We shall limit our discussions to the case with degenerate two-flavor (u and d) quarks, and then we do not need to introduce the Nambu-Gor'kov basis. In the presence of the same quark chemical potential µ for u and d quarks, we can write the Lagrangian density down as [23] 5) where J andJ are the source for the diquark and anti-diquark which are anti-symmetric in spin, color, and flavor. By means of a variable change bȳ 6) it is possible to compactify the above into…”

Section: Diquark Condensatementioning

confidence: 99%

See 1 more Smart Citation

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Fukushima¹

2008

J. High Energy Phys.

View full text Add to dashboard Cite

Abstract:We exposit the eigenvalue distribution of the lattice Dirac operator in Quantum Chromodynamics with two colors (i.e. two-color QCD). We explicitly calculate all the eigenvalues in the presence of finite quark chemical potential µ for a given gauge configuration on the finite-volume lattice. First, we elaborate the Banks-Casher relations in the complex plane extended for the diquark condensate as well as the chiral condensate to relate the eigenvalue spectral density to the physical observable. Next, we evaluate the condensates and clarify the characteristic spectral change corresponding to the phase transition. Assuming the strong coupling limit, we exhibit the numerical results for a random gauge configuration in two-color QCD implemented by the staggered fermion formalism and confirm that our results agree well with the known estimate quantitatively. We then exploit our method in the case of the Wilson fermion formalism with two flavors. Also we elucidate the possibility of the Aoki (parity-flavor broken) phase and conclude from the point of view of the spectral density that the artificial pion condensation is not induced by the density effect in strong-coupling two-color QCD.

show abstract

Section: Two-color Qcd At Strong Couplingmentioning

confidence: 99%

Section: Diquark Condensatementioning

confidence: 99%

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Fukushima¹

2008

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…The mean-field studies [10,111 as well as the MDP simulation for SU(2) [17] suggest that the chiral phase transition in strong coupling QCD may be second order. In that case the transition will most likely only exist in the limit of vanishing quark mass and thermodynamic functions will not be singular, if the infinite-volume limit is taken at fixed, non-vanishing quark mass.…”

Section: Critical Exponents Of Finite-temperature Qcdmentioning

confidence: 99%

Critical exponents of the chiral transition in strong coupling QCD

Boyd¹,

Fingberg²,

Karsch³

et al. 1992

Nuclear Physics B

View full text Add to dashboard Cite

We study the critical behaviour of the chira! phase transition of SU(3) lattice QCD with one species of staggered fermions in the strong coupling limit. We find a second-order phase transition which seems to be controlled by an effective action which is in the same universality class as three-dimensional 0(2) spin models. In particular, we find for the exponent b, 0.18 < 1/~<0.25, in good agreement with the three-dimensional 0(2) value, 1/b 0.21.

show abstract

“…In such simulations in the case of N c = 3 [5] a chiral symmetry restoring first order transition was found at some critical µ. Similarly, for N c = 2, restoration of chiral symmetry at large µ and/or T was seen in [6]. More recently, the two-color (N c = 2), N f = 1 case was investigated in [7] using the dimer-baryon loop representation with a new updating algorithm [8].…”

Section: Introductionmentioning

confidence: 99%

“…One approach relies on integrating out the gauge field in the strong coupling limit. This results in a representation of the partition function in terms of monomers, dimers and baryon loops [4], or monomers, dimers and polymers [5], [6]. The sign problem is partly evaded within this representation, thus allowing simulations.…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry in SU(N_c) gauge theories at high density

Tomboulis

2014

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

We study SU (N c ) lattice gauge theories with N f flavors of massless staggered fermions in the presence of quark chemical potential µ. A recent exact result that in the strong coupling limit (vanishing inverse gauge coupling β) and for sufficiently large µ the theory is in a chiral symmetric phase is here extended into the finite gauge coupling region. A cluster expansion combining a fermion spacelike hopping expansion and a strong coupling plaquette expansion is shown to converge for sufficiently large µ and small β at any temperature T . All expectations of chirally non-invariant local fermion operators vanish identically, or, equivalently, their correlations cluster exponentially within the expansion implying absence of spontaneous chiral symmetry breaking. The resulting phase at low T may be described as a "quarkyonic" matter phase. Some implications for the phase diagram of SU (N c ) theories are discussed.

show abstract

Strong coupling QCD with SU(2) gauge fields at finite Baryon number density

Cited by 20 publications

References 7 publications

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Critical exponents of the chiral transition in strong coupling QCD

Chiral symmetry in SU(N_c) gauge theories at high density

Contact Info

Product

Resources

About

Strong coupling QCD with SU(2) gauge fields at finite Baryon number density

Cited by 20 publications

References 7 publications

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Critical exponents of the chiral transition in strong coupling QCD

Chiral symmetry in SU(Nc) gauge theories at high density

Contact Info

Product

Resources

About

Chiral symmetry in SU(N_c) gauge theories at high density