10,722 research outputs found
On the Parisi-Toulouse hypothesis for the spin glass phase in mean-field theory
We consider the spin-glass phase of the Sherrington-Kirkpatrick model in the
presence of a magnetic field. The series expansion of the Parisi function
is computed at high orders in powers of and . We find
that none of the Parisi-Toulouse scaling hypotheses on the behavior
strictly holds, although some of them are violated only at high orders. The
series is resummed yielding results in the whole spin-glass phase which are
compared with those from a numerical evaluation of the . At the high
order considered, the transition turns out to be third order on the
Almeida-Thouless line, a result which is confirmed rigorously computing the
expansion of the solution near the line at finite . The transition
becomes smoother for infinitesimally small field while it is third order at
strictly zero field.Comment: 6 pages, 2 figure
Physics of the linear collider
This presentation intends to illustrate the specific capabilities of an
ee sub-TeV collider to provide answers on the basic issues in physics:
origin of mass, hierarchy of masses, cosmological problems. Some foreseeable
scenarios are discussed with a possible synergy with LHC.Comment: 20 pages, 16 figure
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