Does Disguise Self end if the caster falls unconscious?

In one of my groups, I play a squishy sorcerer focused on deception, including having a number of false identities. Last week, we were infiltrating an enemy’s base and my sorcerer used disguise self to look like she belonged.

The session had to end in the middle of the infiltration, but afterwards we were discussing what could already be going wrong. One possibility that was tossed around was the possibility of the sorcerer getting knocked unconscious, either through spells or through simply having very few hit points.

This led to us trying to figure out whether disguise self ends when the caster is unconscious. I know alter self would end, because it is a concentration spell, but would disguise self?

(I asked about this in chat a while ago but went looking for a q&a on this site about it and found none, so I wrote one.)