Should i still invite me estranged father to my wedding?

My dad had an affair behind my mom's back til last fall when my mom found out and kicked him out. Hes been so wrapped up in his new gf and kids, he hasnt bothered with my mom (not helping her with the bills he ran up and let for her) my 3 brothers and i since. (except to ask them for money because he knows i wont give him any) i miscarried my 1st child last oct, and even though he came to the ER, for a few minutes, he didnt call to check on me when i went home a few days later. Money was so tight last yr, my fiance just had a ceremony and dinner, and my mom scrimped her money to help us. she even made me my dress with what little money she had ( i cried). My dad missed the 15 minute ceremony because he was with his gf, and stayed for the dinner, but didnt give my new husband and i any gift, hugs, money, congrats etc though he told me brother he had plenty of money on him but it was for his gf. he didnt call me afterwards until my birthday, which he called just to say happy birthday but he was with her kids and hung up on me after starting an arguement. To this day, hes still lying to my mom, bros and me. He doesnt bother to tm or call me even though i have tried a few times. I am so angry, i dont feel like i should invite him to my big wedding this year. He is making no effort to repair any of the damage he has done and im sick of him hurting my mom. What should i do? on one hand i feel obligated and guilty cuz he is my dad, but on the other hand im angry, hurt and i am his ONLY daughter. Please help. btw the wedding is in december.