Preheat oven to 400 degrees F. In a small bowl combine thyme, brown sugar, pepper, and salt. Sprinkle over both sides of chops; rub in with your fingers.
In an extra-large ovengoing skillet heat oil over medium-high heat. Add chops; cook 10 minutes or until well browned, turning once. Transfer to oven. Roast 5 minutes or until a thermometer inserted in chops registers 145 degrees F. Remove chops from skillet; cover and keep warm. Drain off fat.
Meanwhile, remove 2 tsp. zest and squeeze 3 Tbsp. juice from lemon. For sauce, in skillet combine 3 Tbsp. of the butter and the capers. Cook and stir over medium-high heat until butter begins to brown. Stir in parsley and lemon zest. Add broth and lemon juice, stirring to scrape up crusty brown bits. Bring to boiling; reduce heat. Boil gently, uncovered, 6 minutes or until slightly thickened. Remove from heat. Stir in remaining 1 Tbsp. butter. Serve chops with sauce.