400,337 research outputs found
Bosons Doubling
It is shown that next-nearest-neighbor interactions may lead to unusual
paramagnetic or ferromagnetic phases which physical content is radically
different from the standard phases. Actually there are several particles
described by the same quantum field in a manner similar to the species doubling
of the lattice fermions. We prove the renormalizability of the theory at the
one loop level.Comment: 12 page
Fermion Doubling and Berenstein--Maldacena--Nastase Correspondence
We show that the string bit model suffers from doubling in the fermionic
sector. The doubling leads to strong violation of supersymmetry in the limit
. Since there is an exact correspondence between string bits and
the algebra of BMN operators even at finite , doubling is expected also on
the side of super-Yang--Mills theory. We discuss the origin of the doubling in
the BMN sector.Comment: 12 pages, LaTeX file, no figures, PACS number: 03.65.-
Doubling measures, monotonicity, and quasiconformality
We construct quasiconformal mappings in Euclidean spaces by integration of a
discontinuous kernel against doubling measures with suitable decay. The
differentials of mappings that arise in this way satisfy an isotropic form of
the doubling condition. We prove that this isotropic doubling condition is
satisfied by the distance functions of certain fractal sets. Finally, we
construct an isotropic doubling measure that is not absolutely continuous with
respect to the Lebesgue measure.Comment: 20 pages. Revised to address referee's comment
A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderon-Zygmund decomposition
Given a doubling measure on , it is a classical result of harmonic
analysis that Calderon-Zygmund operators which are bounded in are
also of weak type (1,1). Recently it has been shown that the same result holds
if one substitutes the doubling condition on by a mild growth condition
on . In this paper another proof of this result is given. The proof is
very close in spirit to the classical argument for doubling measures and it is
based on a new Calderon-Zygmund decomposition adapted to the non doubling
situation.Comment: 10 page
Degree-doubling graph families
Let G be a family of n-vertex graphs of uniform degree 2 with the property
that the union of any two member graphs has degree four. We determine the
leading term in the asymptotics of the largest cardinality of such a family.
Several analogous problems are discussed.Comment: 9 page
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