Debbsy I think every new dad gets jealous at some point in the first few months, they might never admit it, or even realise that that is the problem, but it is always a factor.
I think it is important though for us as the new mum to realise that the dad is feeling left out and instead of thinking what a bastard, how can he be jealous of a baby, his baby no less, we have to make sure that we do what we can to show that DH is still as important.
It seems really unfair, you are the one providing most of the care for the baby, you are exhausted, why should you have to do all the running to DH? But, I think it is quite fair to say that a man will NEVER fully understand how a new mum feels, as far as the man goes he is feeling left out, perhaps side lined, he sees his social life go down the drain, he sees his previously doting wife slipping away, and I think we have to do what we can to say hang on a minute, yes this baby means more to me than anything ever has done before, yes I am exhausted, and I might not always have my hair set right and I might not have had chance to do the washing today, but you are still my partner, partner in life, love, parenting, everything.
The thing is to try and establish almost a silent rule book, you don't get involved in DH's day to day job, and he doesn't get too involved in yours.
Above all, you have to talk to each other, if you don't talk what is there left of your relationship?