Preheat broiler and place the oven rack at the top level. Stir together melted butter and garlic powder.
Slice the rolls in half lengthwise and brush each side with the garlic butter.
Place bottom halves of the rolls on a baking sheet. Divide meat among the 4 rolls rolls and place under the broiler for 3-4 minutes until meat is nice and hot and bread is beginning to toast around the edges.
Meanwhile heat the beef broth in a small pot on the stove over medium heat. Bring to a simmer with the minced garlic and Worcestershire sauce for 10 minutes. Strain out the minced garlic if desired.
Top the meat with Provolone cheese slices. Place top halves of the rolls on the sheet, soft side up.
Place the sheet back under the broiler for a few minutes or until cheese is mostly melted and bread is nice and toasty.
Add the tops to the sandwiches and serve with a side of beef broth for dipping.