Quark and Gluon Condensates in Isospin Matter

Abstract

Applying the Hellmann-Feynman theorem to a charged pion gas, the quark and gluon condensates at low isospin density are determined by precise pion properties. At intermediate density around $f_{\pi }^2{m}_{\pi }$, from both the estimation for the dilute pion gas and the calculation with Nambu--Jona-Lasinio model, the quark condensate is strongly and monotonously suppressed, while the gluon condensate is enhanced and can be larger than its vacuum value. This unusual behavior of the gluon condensate is universal for Bose condensed matter of mesons. Our results can be tested by lattice calculations at finite isospin density.

4 pages, 2 figures. Published version in PRC

References in corpus (5)

• Phases of Dense Quarks at Large N_c
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Finite baryon and isospin chemical potential in AdS/CFT with flavor
• The K+K+ Scattering Length from Lattice QCD
• Relativistic BCS-BEC Crossover at Zero Temperature

Cited by in corpus (4)

• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• BCS-BEC crossover in relativistic Fermi systems
• Gluon Condensate in Pion Superfluid beyond Mean Field Approximation