Axial symmetry breaking of Saturn’s thermosphere

Axial-symmetry breaking in constrained membranes.

We study the equilibrium shapes of a lipid membrane, attached to a fixed circular substrate. We show how the weakening of the boundary conditions is able to break the axial symmetry of the optimal equilibrium configuration. We derive the critical threshold of the symmetry-breaking transition, and obtain the analytical expression of the free-energy minimizers in the quasi-planar approximation. M...

Replica Symmetry Breaking in an Axial Model of Quadrupolar Glass

We perform the replica symmetry breaking (RSB) in the vicinity of the point of instability of the replica symmetric solution in the model of axial quadrupolar glass. It is shown that the solution with the first stage RSB is stable against the second stage RSB. Although there is no reflection symmetry the 1RSB solution bifurcates continuously from the RS one. These facts mean that our model can ...

Chiral Symmetry Breaking without Bilinear Condensates, Unbroken Axial ZN Symmetry, and Exact QCD Inequalities

An alternative pattern of the chiral symmetry breaking, suggested recently, is investigated. It could be self-consistent provided that the chiral SU(Nf )×SU(Nf ) symmetry is broken spontaneously down to SU(Nf )× ZNf rather than to SU(Nf )V . The discrete axial ZNf then would play a custodial role preventing the quark bilinears from condensation. It is shown that this pattern of the chiral symme...

Symmetry Breaking

Symmetry occurs in many problems in aritifical intelligence. For example, in the n-queens problem, the chessboard can be rotated 90◦. As a second example, several machines in a factory might have the same capacity. In a production schedule, we might therefore be able to swap the jobs on machines with the same capacity. As a third example, two people within a company might have the same skills. ...

Symmetry Breaking