# QCD at finite baryon density: nucleon droplets and color superconductivity

@article{Alford1998QCDAF, title={QCD at finite baryon density: nucleon droplets and color superconductivity}, author={Mark G. Alford and Krishna Rajagopal and Frank Wilczek}, journal={Physics Letters B}, year={1998}, volume={422}, pages={247-256} }

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 with conventional chiral symmetry breaking have negative pressure with respect to empty space at all but the lowest densities, and are therefore unstable. This is a precisely defined phenomenon which motivates the basic picture of hadrons assumed in the MIT bag model, with nucleons as droplets of… Expand

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#### References

SHOWING 1-10 OF 25 REFERENCES

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

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

- Physics
- 1961

It is suggested that the nucleon mass arises largely as a self-energy of some primary fermion field through the same mechanism as the appearance of energy gap in the theory of superconductivity. The… Expand

A mean-field theory of the chiral phase transition

- Physics
- 1996

Abstract The recent discussions by Kocic and Kogut on the nature of the chiral phase transition are reviewed. The mean-field nature of the transition suggested by these authors is supported in random… Expand

Patterns of spontaneous chiral symmetry breaking

- Physics
- 1992

Abstract A model that exhibits two types of spontaneous chiral symmetry breaking belonging to the same chain, namely SU(2) L ×SU(2) R →SU(2) V , is investigated. In addition to the conventional… Expand

Computation of the quantum effects due to a four-dimensional pseudoparticle

- Physics
- 1976

A detailed quantitative calculation is carried out of the tunneling process described by the Belavin-Polyakov-Schwarz-Tyupkin field configuration. A certain chiral symmetry is violated as a… Expand

Superfluidity and superconductivity in relativistic fermion systems

- Physics
- 1984

The derivation of gap equations and Ginzburg-Landau free energies for relativistic fermion systems is reviewed. The cases of superfluid neutron matter, superconducting electrons and superconducting… Expand

The lives of the neutron stars

- Physics
- 1995

1. The Birth of Neutron Stars. 2. The Structure of Neutron Stars and their Thermal, Magnetic and Dynamical Evolution. 3. Radio Pulsars. 4. X-Ray Binaries. 5. ... And their Evolution. 6. Gamma-Ray… Expand

Microscopic theory of superconductivity

- Physics
- 1957

Key steps in the development of the microscopic understanding of superconductivity are discussed.

Nucl

- Phys. A609
- 1996

Phys. Rev

- Phys. Rev
- 1976