1993
DOI: 10.1103/physrevd.48.1774
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Numerical signatures of vacuum instability in a one-dimensional Wick-Cutkosky model on the light cone

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 t… Show more

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Cited by 12 publications
(9 citation statements)
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“…Within a DLCQ approximation, this instability can be difficult to detect [128] unless constrained longitudinal zero modes are included [75]. However, the constraint equation for the neutral scalar can be solved exactly, and the effective interactions that this generates include zero-mode exchange as well as a destabilizing doorway to infinite numbers of charged pairs.…”
Section: Quenched Scalar Yukawa Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…Within a DLCQ approximation, this instability can be difficult to detect [128] unless constrained longitudinal zero modes are included [75]. However, the constraint equation for the neutral scalar can be solved exactly, and the effective interactions that this generates include zero-mode exchange as well as a destabilizing doorway to infinite numbers of charged pairs.…”
Section: Quenched Scalar Yukawa Theorymentioning
confidence: 99%
“…The Wick-Cutkosky model focuses on two charged scalars interacting through the exchange of the neutral, which may or may not be massive. Various light-front analyses have been done [125,126,127,73,128,129,130,131,132,18,133], including both two-dimensional and four-dimensional theories. The most recent work focuses on the construction of the eigenstate for a charged scalar dressed by a cloud of neutrals [134].…”
Section: Quenched Scalar Yukawa Theorymentioning
confidence: 99%
“…This model is also known as the (massive) Wick-Cutkosky model [20] and has received considerable attention in light-front quantization [21][22][23][24][25][26][27][28][29][30][31] in both two and four dimensions.…”
Section: Quenched Scalar Yukawa Theorymentioning
confidence: 99%
“…The last term in (5.13) is actually zero, as can be seen from the change of integration variables to P ′+ = p ′+ 1 + p ′+ 2 and x ′ = p ′+ 1 /P ′+ . The integrals in this term then take the form 14) which is proportional to P ′+ δ(P ′+ )dP ′+ = 0.…”
Section: Wick-cutkosky Modelmentioning
confidence: 99%