Skip to main content

Pion condensation in a two-flavour NJL model: the role of charge neutrality

Buy Article:

$43.90 plus tax (Refund Policy)

Abstract:

We study pion condensation and the phase structure in a two-flavour Nambu–Jona-Lasinio model in the presence of baryon chemical potential  and isospin chemical potential I at zero and finite temperature. There is a competition between the chiral condensate and a Bose–Einstein condensate of charged pions. In the chiral limit, the chiral condensate vanishes for any finite value of the isospin chemical potential, while there is a charged pion condensate that depends on the chemical potentials and the temperature. At the physical point, the chiral condensate is always nonzero, while the charged pion condensate depends on I and T. For T =  = 0, the critical isospin chemical potential cI for the onset of Bose–Einstein condensation is always equal to the pion mass. For  = 0, we compare our results with chiral perturbation theory, sigma-model calculations and lattice simulations. Finally, we examine the effects of imposing electric charge neutrality and weak equilibrium on the phase structure of the model. In the chiral limit, there is a window of baryon chemical potential and temperature where the charged pions condense. At the physical point, the charged pions do not condense.

Document Type: Research Article

DOI: http://dx.doi.org/10.1088/0954-3899/37/1/015003

Publication date: January 1, 2010

iop/jphysg/2010/00000037/00000001/art015003
dcterms_title,dcterms_description,pub_keyword
6
5
20
40
5

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more