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I haven't been up to date on the state of the art of the field for quite some years now; the contemporaneity of my knowledge ends with the review by Rivasseau, 2000. A quick gander at the topic over at the n-Cat Lab shows that practically nothing has changed.
Is anyone working in the field here more up to date on the current state of the art willing to address whether there have been major progress to the problems as listed in Rivasseau's review? More explicitly, has there been a full constructive formulation of QFT in 4 dimensions? And if not, how far away are we projected to be?
Is anyone working in the field here more up to date on the current state of the art willing to address whether there have been major progress to the problems as listed in Rivasseau's review? More explicitly, has there been a full constructive formulation of QFT in 4 dimensions? And if not, how far away are we projected to be?