Tooth Pain Causes and Treatment
https://www.verywellhealth.com/why-does-my-tooth-hurt-1059322
White Tooth Dental Takeaways:
This is a generally concise, straight-forward summary of the various causes of tooth pain.
I think it is important to clarify the "abscess" is when the tooth's nerve dies from any cause (a crack, an untreated cavity, gum disease, past trauma, and other reasons). Depending on whether or not the tooth is in good enough condition, you and your dentist will decide on the best course of treatment - a "root canal" treatment or tooth removal (or extraction).
An abscess can present in any number of different ways - a toothache, a "pimple" on the gums, a larger swelling inside or outside the mouth - the most severe of which would be Ludwig's angina, or whole body symptoms (like fever, malaise or "sepsis"). If you have any suspicion you have an abscess, it is very important to see your dentist urgently for medications (if needed) and definitive treatment (whether that be root canal or even pulling the tooth).