What a world.
If you don't have a jogging partner, get one. Go to a couple of weekend races of the local running club, meet some people on your level. Ask around your complex to see if there are any other people who'd like to join you. Keep a eye out for anyone else using the field and join them.
If possible, run whenever there is activity on the field, if you can do that without interfering with the players.
If you haven't yet, take a self-defense course. Call your local police department and see if they have free ones. Many times the local 'Y' has information too. Then practice, practice, practice. Figure out what you would do if such and such happened. Your paranoia will lessen as you become more confident in your ability to handle a situation.
But don't, I repeat, don't, run alone. Even if you have to get in your car and drive to an area where there are lots of people running, do it.
Joe