The Lattice NJL Model at Non-zero Baryon and Isospin Densities

✍ Scribed by David N. Walters; Simon Hands

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 171 KB
• Volume: 140
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/j.nuclphysbps.2004.11.135

✦ Synopsis

We present initial results of a numerical investigation of the chiral symmetry restoring transition in the (3+1)dimensional Nambu -Jona-Lasinio model with both non-zero baryon chemical potential (µB = 0) and isospin chemical potential (µI = 0). With non-zero isospin chemical potential, the model suffers from a sign problem. We proceed in two ways: (i) We perform "partially quenched" simulations in which µI is made non-zero only during the measurement of chiral observables; (ii) We perform full simulations with imaginary isospin chemical potential with the aim to analytically continue results to real µI .