The first link is indeed relevant, but the second is emphatically not what physicists talk about when they talk about QFT. (It is generally true that nLab usual

The first link is indeed relevant, but the second is emphatically not what physicists talk about when they talk about QFT. (It is generally true that nLab usually lacks perspective, to put it mildly, and the corresponding Wikipedia articles are likely more information.) For a description of the differences, I suggest this paper (link is to a preprint version): http://philsci-archive.pitt.edu/8890/1/critique_sep10.pdf http://philsci-archive.pitt.edu/8890/1/critique_sep10.pdf. The author also gave a talk on it which was recorded and put on YouTube.