As others have noted, this is avoidant behavior, not anti-social.

Worth taking a look at the Wikipedia for Attachment styles [1]. The two types are Dismissive-Avoidant and Fearful-Avoidant. Either can be superficially mistaken for anti-social, although Dismissive-avoidant tends to present a bit closer to anti-social.

1. https://en.wikipedia.org/wiki/Attachment_in_adults