31,700 research outputs found
A precise definition of the Standard Model
We declare that we are living in the quantum 4-dimensional Minkowski
space-time with the force-fields gauge-group structure built-in from the very beginning. From this overall
background, we see the lepton world, which has the symmetry characterized by
- the lepton world is also called "the
atomic world". From the overall background, we also see the quark world, which
experiences the well-known symmetry, i.e., . The quark world is also called "the nuclear world".
The cosmic microwave background (CMB) in our Universe provides
the evidence of that "the force-fields gauge-group structure was built-in from
the very beginning". The CMB is almost uniform, to the level of one part in
, reflecting the massless of the photons.
The lepton world is dimensionless in the 4-dimensional Minkowski space-time.
That is, all couplings are dimensionless. The quark world is also dimensionless
in the 4-dimensional Minkowski space-time. Apart from the "ignition" term, the
gauge and Higgs sector, i.e., the overall background, is also dimensionless.
Thus, apart the "ignition" term, our world as a whole is dimensionless in the
4-dimensional Minkowski space-time - that is, it is the characteristic of the
quantum 4-dimensional Minkowski space-time.Comment: 1 figure. arXiv admin note: substantial text overlap with
arXiv:1301.646
What happened to the Cosmological QCD Phase Transition?
The scenario that some first-order phase transitions may have taken place in
the early Universe offers us one of the most intriguing and fascinating
questions in cosmology. Indeed, the role played by the latent "heat" or energy
released in the phase transition is highly nontrivial and may lead to some
surprising, important results. In this paper, we take the wisdom that the
cosmological QCD phase transition, which happened at a time between 10^(-5) sec
and 10^(-4) sec or at the temperature of about 150 MeV and accounts for
confinement of quarks and gluons to within hadrons, would be of first order. To
get the essence out of the scenario, it is sufficient to approximate the true
QCD vacuum as one of degenerate theta-vacua and when necessary we try to model
it effectively via a complex scalar field with spontaneous symmetry breaking.
We examine how and when "pasted" or "patched" domain walls are formed, how long
such walls evolve in the long run, and we believe that the significant portion
of dark matter could be accounted for in terms of such domain-wall structure
and its remnants. Of course, the cosmological QCD phase transition happened in
the way such that the false vacua associated with baryons and many other
color-singlet objects did not disappear (that is, using the bag-model language,
there are bags of radius 1.0 fermi for the baryons) - but the amount of the
energy remained in the false vacua is negligible. The latent energy released
due to the conversion of the false vacua to the true vacua, in the form of
"pasted" or "patched" domain walls in the short run and their numerous evolved
objects, should make the concept of the "radiation-dominated" epoch, or of the
"matter-dominated" epoch to be re-examined.Comment: 16 pages, 1 figur
A Way to Understand the Mass Generation
We believe that the quantum 4-dimensional Minkowski space-time with the
force-fields gauge-group structure built-in from the very beginning is the background for everything.
Thus, the self-repulsive, but ``related'', complex scalar fields
(the Standard-Model Higgs), (the purely family Higgs), and
(the mixed family Higgs), with the first family label and the
second label, co-exist such that they generate all the masses if, and
only if, necessary. Note that the ``ignition'' channel is on the elusive
channel, yielding the prediction that the Standard-Model (SM) Higgs
mass is half of the SM vacuum expectation value . Before the
``ignition'', there is no mass terms, including the Higgs, the quarks, and the
leptons. Apart from the ``ignition'' term, all the couplings are dimensionless
and thus the theory is determined by the quantum 4-dimensional Minkowski
space-time. The multi-GeV or sub-sub-fermi family gauge fields
protect the lepton world from the QED Landau ghost and make them asymptotically
free. We try to discuss different ways to deal with infinities (ultraviolet
divergences) for the resultant Standard Model (as the consistent and complete
theory).Comment: 4 figure
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