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Primordial Black Holes and Cosmological Phase Transitions Report ...

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PBHs <strong>and</strong> <strong>Cosmological</strong> <strong>Phase</strong> <strong>Transitions</strong> 35<br />

Figure 10: The particle content of the SMPP (http://wwwsldnt.slac.stanford.edu)<br />

as regards fundamental fermions <strong>and</strong> bosons. Since<br />

there are eight different types of gluons (g), two W bosons <strong>and</strong> the (still<br />

hypothetical) Higgs boson (H) – not shown – there are a total of 25 particles.<br />

families of leptons, <strong>and</strong> 13 gauge bosons (i.e., particles that act as carriers of<br />

the fundamental interactions): eight massless gluons, Z 0 , W ± ; the massless<br />

photon; the (yet to be discovered) scalar Higgs (e.g. Boyanovsky et al., 2006).<br />

These particles interact in only three ways: the electromagnetic interaction, the<br />

weak interaction <strong>and</strong> the strong interaction. Note that gravity is left outside<br />

the SMPP because we do not yet have a theory of quantum gravity.<br />

The classification of fundamental particles is performed taking into account<br />

certain properties such as the rest mass, the electric charge <strong>and</strong> the spin. The<br />

spin must be an integer or an half–integer <strong>and</strong> is normally expressed in units<br />

of . Quantum particles with integer spin are called bosons <strong>and</strong> quantum particles<br />

with half–integer spin are called fermions. Fermions obey the Exclusion<br />

Principle (identical fermions cannot be at the same state at the same time) but<br />

bosons do not obey the Exclusion Principle.<br />

A particle which does not react to the strong interaction is called a lepton<br />

(see Table 4, Figure 10). In the SMPP six of the 12 fermions are leptons:<br />

three electric charged particles (electron – e − , muon – µ − , tau – τ − ) <strong>and</strong> their<br />

associated neutrinos (νe, νµ, ντ). The remaining six fermions are quarks –<br />

particles which react to the strong interaction (see Table 5, Figure 10). Quarks<br />

invariant under certain symmetry transformation groups. When they are invariant under a<br />

transformation identically performed at every space–time point they are said to have a global<br />

symmetry. Gauge theory extends this idea by requiring that the Lagrangians must possess<br />

local symmetries which enable symmetry transformations in a particular region of space–time<br />

without affecting what happens in another region. This requirement is a generalized version<br />

of the Equivalence Principle of general relativity.

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