  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 tensortype quark-antiquark
condensate, which also leads to the quark spin polarized phase, are
investigated.
