I need advice..

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Okay so me and my boyfriend recently split up a week ago we've been seeing each other for 5 months now and I've notice he bullshit a lot and recently he's lied to me about ALOT of things. I caught him talking to my friend... and I do love him but I can't handle a liar. It makes me reach a whole new level of pissed off... I went back to him over Christmas thinking I could look passed everything and us move forward but he kept on with the petty bullshit and I had to leave him..... when I'm with him I can't stand to be around him. But it breaks me down when we're apart and I'm torn between thinking things will work out and knowing he'll never change...