Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-07-22
Int.J.Mod.Phys. A19 (2004) 3409-3426
Physics
High Energy Physics
High Energy Physics - Theory
17 pages Latex, 1 figure;Appendix added;typos corrected;minor changes in section 4 and 5;This version to appear in Int.Jour. M
Scientific paper
10.1142/S0217751X0401941X
We study the causality violation in the non-local phi ^{4}-theory (as formulated by Kleppe and Woodard) containing a finite mass scale Lambda . Starting from the Bogoliubov-Shirkov criterion for causality, we construct and study combinations of S-matrix elements that signal the violation of causality in the one loop approximation. We find that the causality violation in the exclusive process \phi +\phi --> \phi +\phi grows with energy, but the growth with energy, (for low to moderate energies) is suppressed to all orders compared to what one would expect purely from dimensional considerations. We however find that the causality violation in other processes such as \phi +\phi--> \phi +\phi +\phi +\phi grows with energy as expected from dimensional considerations at low to moderate energies. For high enough energies comparable to the mass scale Lambda, however, we find a rapid (exponential-like) growth in the degree of causality violation. We suggest a scenario, based on an earlier work, that will enable one to evade a large theoretical causality violation at high energies, should it be unobserved experimentally.
Jain Ambar
Joglekar Satish D.
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