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Why are Orlicz spaces useful for Statistical Physics?
We review a new formalism based on Orlicz spaces for the description of large
regular statistical systems. Our presentation includes both classical and
quantum systems. The presented approach has the advantage that statistical
mechanics is much better settled.Comment: 11 pages. arXiv admin note: text overlap with arXiv:1302.346
On applications of Orlicz Spaces to Statistical Physics
We present a new rigorous approach based on Orlicz spaces for the description
of the statistics of large regular statistical systems, both classical and
quantum. This approach has the advantage that statistical mechanics is much
better settled. In particular, a new kind of renormalization leading to states
having a well defined entropy function is presented.Comment: 20 page
Where is the pseudoscalar glueball ?
The pseudoscalar mesons with the masses higher than 1 GeV are assumed to
belong to the meson decuplet including the glueball as the basis state
supplementing the standard nonet of light states
. The decuplet is investigated by means of an algebraic approach based
on hypothesis of vanishing the exotic commutators of "charges" and
their time derivatives. These commutators result in a system of equations
determining contents of the isoscalar octet state in the physical isoscalar
mesons as well as the mass formula including all masses of the decuplet:
, K(1460), , and . The physical
isoscalar mesons , are expressed as superpositions of the "ideal"
states ( and ) and the glueball with the mixing
coefficient matrix following from the exotic commutator restrictions. Among
four one-parameter families of the calculated mixing matrix (numerous solutions
result from bad quality of data on the and K(1460) masses) there is
one family attributing the glueball-dominant composition to the
meson. Similarity between the pseudoscalar and scalar decuplets, analogy
between the whole spectra of the and mesons and affinity of
the glueball with excited states are also noticed.Comment: 18 pp., 2. figs., 2 tabs.; Published version. One of the authors
withdraws his nam
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