A possibility of existence of a pseudovector-type quark–antiquark condensate in the quark matter and Nambu–Goldstone modes on that condensate in the Nambu–Jona–Lasinio model

Abstract

A possibility of a pseudovector-type quark–antiquark condensed phase, which leads to a quark spin polarized phase, in the quark matter is investigated taking account of the vacuum effects leading to the chiral symmetry breaking by using the Nambu–Jona–Lasinio model. Also, possible Nambu–Goldstone modes on the pseudovector-type quark–antiquark condensate and the tensor-type quark–antiquark condensate, which also leads to the quark spin polarized phase, are investigated.