# Color flavor locking and chiral symmetry breaking in high density QCD

@article{Alford1999ColorFL, title={Color flavor locking and chiral symmetry breaking in high density QCD}, author={Mark G. Alford and Krishna Rajagopal and Frank Wilczek}, journal={Nuclear Physics}, year={1999}, volume={537}, pages={443-458} }

Abstract We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3) color × SU(3) L × SU(3) R symmetries are broken down to the diagonal subgroup SU(3) color+ L + R by the formation of a condensate of quark Cooper pairs. We discuss general properties that follow from this hypothesis, including the existence of gaps for quark and gluon excitations, the existence of Nambu-Goldstone bosons which are excitations of the diquark… Expand

#### Paper Mentions

#### 701 Citations

High-density QCD and instantons

- Physics
- 2000

Abstract Instantons generate strong nonperturbative interactions between quarks. In vacuum, these interactions lead to chiral symmetry breaking and generate constituent quark masses on the order of… Expand

Unlocking Color and Flavor in Superconducting Strange Quark Matter

- Physics
- 1999

Abstract We explore the phase diagram of strongly interacting matter with massless u and d quarks as a function of the strange quark mass m s and the chemical potential μ for baryon number.… Expand

Chiral vacuum alignment in dense QCD

- Physics
- 2001

Abstract We discuss an interesting possibility of nontrivial, quark-mass induced chiral vacuum alignment in color–flavor locking phase of cold, dense QCD. With the simplifying assumption that the… Expand

Kaon condensation in the color–flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation

- Physics
- 2009

Abstract At very high densities, QCD is in the color–flavor-locked phase, which is a color-superconducting phase. The diquark condensates break chiral symmetry in the same way as it is broken in… Expand

Generalized mesons in dense QCD

- Physics
- 2000

Abstract QCD superconductors in the color–flavor-locked (CFL) phase support excitations (generalized mesons) that can be described as pairs of particles or holes (rather than particle–hole) around a… Expand

Patterns of Symmetry Breaking in QCD at High Baryon Density

- Physics
- 2000

We study the structure of QCD at very large baryon density for an arbitrary number of flavors Nf. We provide evidence that for any number of flavors larger than Nf=2 chiral symmetry remains broken at… Expand

Bulk viscosity in kaon-condensed color–flavor-locked quark matter

- Physics
- 2008

Color–flavor-locked (CFL) quark matter at high densities is a color superconductor, which spontaneously breaks baryon number and chiral symmetry. Its low-energy thermodynamic and transport properties… Expand

Majorana Fermions in Non-Abelian QCD Vortices

- Physics
- 2010

We study the internal structure of a non-Abelian vortex in color superconductivity with respect to quark degrees of freedom. Stable non-Abelian vortices appear in the Color-FlavorLocked phase whose… Expand

Gluonic phases, vector condensates, and exotic hadrons in dense QCD

- Physics
- 2007

We study the dynamics in phases with vector condensates of gluons (gluonic phases) in dense two-flavor quark matter. These phases yield an example of dynamics in which the Higgs mechanism is provided… Expand

On the QCD ground state at high density

- Physics
- 2000

Abstract We investigate the possible ground states of QCD at asymptotic densities, where the theory is expected to exhibit color superconductivity. We characterize the color–flavor structure of… Expand

#### References

SHOWING 1-10 OF 22 REFERENCES

QCD at finite baryon density: nucleon droplets and color superconductivity

- Physics
- 1998

Abstract We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states… Expand

Superconductivity in quark matter

- Physics
- 1995

Abstract We explore the possibility of superconductivity of a system composed of an infinite number of quarks with a single flavor. If we assume that such quarks interact which each other via the… Expand

Instantons and the chiral phase transition

- Physics
- 1997

Abstract We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of Nf (the number of fermion flavors) depending on N, the theory… Expand

Supersymmetric gauge field theory and string theory

- Physics
- 1994

SUPERSYMMETRY ALGEBRA AND MULTIPLETS Introduction Dirac, Weyl and Mujorana Spinors Simple supersymmetry algebra Supersymmetry multiplets Supersymmetric free field theory Extended supersymmetry… Expand

Diquark Bose condensates in high density matter and instantons

- Physics
- 1998

Instantons lead to strong correlations between up and down quarks with spin zero and antisymmetric color wave functions. In cold and dense matter, n{sub b}{gt}n{sub c}{approx_equal}1 fm {sup… Expand

hep-ph/9711395, to be published in Phys

- Lett. B

Phys

- Lett. B422
- 1998

Phys

- Rev. Lett. 81
- 1998

Phys. Lett. B Nucl. Phys. A

- Phys. Lett. B Nucl. Phys. A
- 1998

Phys. Rev. Lett

- Phys. Rev. Lett
- 1998