Masao Hirokawa
A Mathematical Mechanism of Infrared Catastrophe
(1133K, Postscript)
ABSTRACT. We derive a mathematical mechanism of infrared catastrophe from
the idea for the proof in [mp_arc 03-512, 03-551] and generalize it
so that we can apply it to several models in quantum field theory.
We define the Carleman operator from the operator-theoretical
pull-through formula on ground states. Characterizing infrared
catastrophe by the Carleman operator, we study the mechanism of
infrared catastrophe. And moreover, based on the mechanism,
we show some proofs of absence of ground state.