2005, Vol.8, No.4, pp.366-372
Gauge bosons are fundamental fields that mediate the electroweak
interaction of leptons and quarks. The underlying mechanism explaining how
gauge bosons acquire mass is neither definitively settled nor universally
accepted and several competing theories coexist. The prevailing paradigm is
that boson masses arise as a result of coupling to a hypothetical scalar
field called the Higgs boson. Within the current range of accelerator
technology, compelling evidence for the Higgs boson is missing. We discuss
in this paper a derivation of boson masses that bypasses the Higgs mechanism
and is formulated on the basis of complexity theory. The key premise of our
work is that the dynamics of the gauge field may be described as a
stochastic process caused by the short range of electroweak interaction. It
is found that, if this process is driven by Levy statistics, mass generation
in the electroweak sector can be naturally accounted for. Theoretical
predictions are shown to agree well with experimental data.
Key words:
random walks and Levy flights, Yang-Mills theories,
spontaneous symmetry breaking, electroweak model, gauge bosons
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