I wouldn't obscure the fact that I have worked in a particular field -- certainly not that I've attained an academically professional status in a particular field (which I haven't, personally, but no matter). If your resume does not currently explain the common, recognizable problems that you handled while working in your field, in terms that are generally understood, then that is the only thing you need to add.

Anyone who's looking for a general-purpose coder/manager will not be put off by seeing signs of field specialization. Personally, I'd hire someone with a PhD in an unrelated field over someone with just computer science on the resume, no hesitation.