14,622 research outputs found
Fermion Mass Matrices in term of the Cabibbo-Kobayashi-Maskawa Matrix and Mass Eigenvalues
A parameter free, model independent analysis of quark mass matrices is
carried out. We find a representation in terms of a diagonal mass matrix for
the down (up) quarks and a suitable matrix for the up (down) quarks, such that
the mass parameters only depend on the six quark masses and the three angles
and phase appearing in the Cabibbo-Kobayashi-Maskawa matrix. The results found
may also be applied to the Dirac mass matrices of the leptons.Comment: 7 pages LaTeX, no figures. Title changed, Particle Data Group
parametrization of CKM matrix used in equation (8), numerical values in table
1 evaluated using the quark mass values at the Z^o mass scale, equation (21)
eliminated and 2 references change
Families of determinantal schemes
Given integers a_0 \le a_1 \le ... \le a_{t+c-2} and b_1 \le ... \le b_t, we
denote by W(b;a) \subset Hilb^p(\PP^{n}) the locus of good determinantal
schemes X \subset \PP^{n} of codimension c defined by the maximal minors of a t
x (t+c-1) homogeneous matrix with entries homogeneous polynomials of degree
a_j-b_i. The goal of this short note is to extend and complete the results
given by the authors in [10] and determine under weakened numerical assumptions
the dimension of W(b;a), as well as whether the closure of W(b;a) is a
generically smooth irreducible component of the Hilbert scheme Hilb^p(\PP^{n}).Comment: The non-emptiness of W(b;a) is restated as (2.2) in this version; the
codimension c=2 case in (2.5)-(2.6) is reconsidered, and c > 2 (c > 3) is now
an assumption in (2.16)-(2.17). 13 page
Ideals generated by submaximal minors
The goal of this paper is to study irreducible families W(b;a) of codimension
4, arithmetically Gorenstein schemes X of P^n defined by the submaximal minors
of a t x t matrix A with entries homogeneous forms of degree a_j-b_i. Under
some numerical assumption on a_j and b_i we prove that the closure of W(b;a) is
an irreducible component of Hilb^{p(x)}(P^n), we show that Hilb^{p(x)}(P^n) is
generically smooth along W(b;a) and we compute the dimension of W(b;a) in terms
of a_j and b_i. To achieve these results we first prove that X is determined by
a regular section of the twisted conormal sheaf I_Y/I^2_Y(s) where
s=deg(det(A)) and Y is a codimension 2, arithmetically Cohen-Macaulay scheme of
P^n defined by the maximal minors of the matrix obtained deleting a suitable
row of A.Comment: 22 page
Protonospheric electron concentration profiles Final report
Protonospheric electron concentration profiles based on Doppler and Faraday effect
Bounds on Cubic Lorentz-Violating Terms in the Fermionic Dispersion Relation
We study the recently proposed Lorentz-violating dispersion relation for
fermions and show that it leads to two distinct cubic operators in the
momentum. We compute the leading order terms that modify the non-relativistic
equations of motion and use experimental results for the hyperfine transition
in the ground state of the ion to bound the values of the
Lorentz-violating parameters and for neutrons. The resulting
bounds depend on the value of the Lorenz-violating background four-vector in
the laboratory frame.Comment: Revtex 4, four pages. Version to match the one to appear in Physical
Review
A Positive Test for Fermi-Dirac Distributions of Quark-Partons
By describing a large class of deep inelastic processes with standard
parameterization for the different parton species, we check the characteristic
relationship dictated by Pauli principle: broader shapes for higher first
moments. Indeed, the ratios between the second and the first moment and the one
between the third and the second moment for the valence partons is an
increasing function of the first moment and agrees quantitatively with the
values found with Fermi-Dirac distributions.Comment: 15 pages LaTeX, 2 eps figures. Final version, to appear in Mod. Phys.
Lett.
Topological Vertex, String Amplitudes and Spectral Functions of Hyperbolic Geometry
We discuss the homological aspects of the connection between quantum string
generating function and the formal power series associated to the dimensions of
chains and homologies of suitable Lie algebras. Our analysis can be considered
as a new straightforward application of the machinery of modular forms and
spectral functions (with values in the congruence subgroup of ) to the partition functions of Lagrangian branes, refined vertex and open
string partition functions, represented by means of formal power series that
encode Lie algebra properties. The common feature in our examples lies in the
modular properties of the characters of certain representations of the
pertinent affine Lie algebras and in the role of Selberg-type spectral
functions of an hyperbolic three-geometry associated with -series in the
computation of the string amplitudes.Comment: Revised version. References added, results remain unchanged. arXiv
admin note: text overlap with arXiv:hep-th/0701156, arXiv:1105.4571,
arXiv:1206.0664 by other author
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