Is persistent, severe burning pain that usually follows an injury to a sensory nerve

the answer you are looking for would be  Causalgia.

Explanation: Causalgia severe burning pain in a limb caused by injury to a peripheral nerve. Causalgia is a thing that occurs after an injury, surgery, stroke, or heart attack, it isn't well understood but may have to do with abnormal inflammation or nerve dysfunction. The pain is mostly described as more than the thing that caused it, the pain areas consist of pain in the nerves, arms or legs, back, foot, or hands. muscle symptoms would be rhythmic muscle contractions, loss of muscle, and or muscle spasms, sensory symptoms such as sensitivity to pain, or uncomfortable tingling and burning, and the whole body is nervous system dysfunction or sweating.

hoped this helped! have a nice day <3

i wish it got that cold here ): im in florida and i've never even seen snow, it never feels like a real holiday. i hope you have a good one with your family !