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QCD at finite isospin density.

D T Son1, M A Stephanov

  • 1Physics Department, Columbia University, New York, NY 10027, USA.

Physical Review Letters
|February 15, 2001
PubMed
Summary

Quantum Chromodynamics (QCD) at finite isospin chemical potential can be studied without the fermion sign problem. This research reveals a smooth transition from hadron to quark matter, impacting the QCD phase diagram.

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Area of Science:

  • * Theoretical Physics
  • * Quantum Chromodynamics (QCD)
  • * High-Energy Nuclear Physics

Background:

  • * Studying Quantum Chromodynamics (QCD) at finite isospin chemical potential (μI) is challenging due to the fermion sign problem in lattice simulations.
  • * Understanding the phase diagram of strongly interacting matter is crucial for nuclear physics and astrophysics.

Purpose of the Study:

  • * To analytically solve QCD at finite isospin chemical potential (μI).
  • * To investigate the phase transitions and ground states of QCD matter under varying isospin densities.
  • * To explore the connection between hadron matter and quark matter.

Main Methods:

  • * Analytical solutions in two limits: low μI using chiral perturbation theory and high μI using perturbative QCD.
  • * Analysis of ground states, including pion condensation and Cooper pairing in a Fermi liquid.

Main Results:

  • * At low isospin densities, the ground state is a pion condensate.
  • * At high isospin densities, the ground state is a Fermi liquid with Cooper pairing, where pairs share pion quantum numbers.
  • * The transition from hadron matter to quark matter is conjectured to be smooth.

Conclusions:

  • * The study provides a smooth transition mechanism between hadron and quark matter, consistent with existing tests.
  • * Results indicate a complex phase diagram for QCD involving temperature, isospin chemical potential, and baryon number chemical potential.
  • * The findings offer insights into the behavior of strongly interacting matter under extreme conditions.

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