Abstract
We extend a previous numerical study of a one-dimensional generalized Wick-Cutkosky model in which complex scalars interact via the exchange of real scalars. The numerical techniques are based on discretized light-cone quantization and the Lanczos diagonalization algorithm. Contrary to previous results, we find that the vacuum instability of a cubic theory can be detected numerically, given adequate resolution. For comparison with the unstable case, we also consider two stable cases: one where a Tamm-Dancoff truncation is applied and another where a quartic interaction of sufficient strength is added. In each case we compute the mass gap and the critical coupling where the gap disappears.
Original language | English (US) |
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Pages (from-to) | 1774-1780 |
Number of pages | 7 |
Journal | Physical Review D |
Volume | 48 |
Issue number | 4 |
DOIs | |
State | Published - 1993 |