Jack stood at the door, numb with pain.
Here, 'numb with pain' has been classed as an absolute phrase.
From MyEnglishgrammar.com:
An absolute phrase is a group of words that forms part of a sentence,
to which it doesn’t need a conjunction to join. It consists of a
subject or a noun, a participle, and a modifier, but it does not have
a finite verb. Without a finite verb, an absolute phrase cannot stand
alone as a complete sentence. The participle can be a past participle
or present participle, which may not be present in an absolute phrase.
An absolute phrase functions as a modifier of an independent clause
(main clause) or entire sentence, and in doing so gives further
information. It is separated by a comma, and its removal does not
affect the grammar of the sentence.
(emphasis mine)
An absolute phrase may come at the beginning, in the middle (between
the subject and the verb), or at the end of a sentence.
Their mouths uttering prayer for lasting world peace, the long-bearded cult
members gathered on the beach.
The long-bearded cult members, their mouths uttering prayer for
lasting world peace, gathered on the beach.
The long-bearded cult members gathered on the beach, their mouths
uttering prayer for lasting world peace.
Other authorities eg Beth Hill: MyEnglishGrammar Should I Use Absolute Phrases?
('It typically contains a noun followed by a modifier, though
sometimes it will simply be a modifier.')
and Wikipedia , which used to contain
(Being a word, phrase, or construction that is
isolated syntactically from the rest of a sentence):
Example Usages:
• “this being the case, let us go”[1]
• "The referee having finally arrived, the game began."[2]'
• “The boy, happy with his lollipop, did not look where he was going."
[• Hair streaming in the wind, she rode flat out across the field.
• Mortified, he could not run out of the way of the troll.])
allow modifier-only absolute phrases / adjectives
(but beware the different senses of 'absolute adjective); they attach to nouns etc:
Jack stood at the door, numb with pain.
Inconsolable, John refused to go with them.
Note the possibility of the lack of a comma with an adjective coming after the verb:
John flopped exhausted onto the sofa.
Also, note the possibility of heavier-duty punctuation:
John stood at the door – too tired to flee.