DYNAMICS OF TWO- AND FOUR- BOSON INTERACTIONS IN DRESSED VACUUM STATES

Andrew Vikartofsky,  R. Wagner,  Q. Su,  R. Grobe*

Illinois State University, ILP and Physics, Normal, IL 61790-4560

qcsu@ilstu.edu


Abstract

We analyze the spatial and temporal dynamics of virtual particles in the vacuum states of the one-dimensional φ2- and φ4-model systems. The properties of the vacuum state for the φ2-system can be found analytically, which allows us to compute all spatial and temporal correlations exactly. For large spatial and temporal separations, the correlation functions approach a non-vanishing finite constant associated with the occurrence of multiple vacuum bubbles, in contradiction to lowest order perturbation theory. Long-range inter-bubble correlations suggest that virtual particles can actually enhance the occurrence of another bubble due to stimulated emission. We argue that almost all of the vacuum’s properties can be explained in the usual particles terms.

[1] R.E. Wagner, M.R. Ware, A.M. Vikartofsky, Q. Su and R. Grobe, Int. J. Theor. Phys. (in press).

This work has been supported by the NSF.

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