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A possibility of a pseudovector-type quark-antiquark condensed phase, whichleads to a quark spin polarized phase, in the quark matter is investigatedtaking account of the vacuum effects leading to the chiral symmetry breaking byusing the Nambu-Jona-Lasinio model. Also, possible Nambu-Goldstone modes on thepseudovector-type quark-antiquark condensate and the tensortype quark-antiquarkcondensate, which also leads to the quark spin polarized phase, areinvestigated.

international journal of modern physics e

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