73,644 research outputs found
Surface Critical Behavior in Systems with Absorbing States
We present a general scaling theory for the surface critical behavior of
non-equilibrium systems with phase transitions into absorbing states. The
theory allows for two independent surface exponents which satisfy generalized
hyperscaling relations. As an application we study a generalized version of
directed percolation with two absorbing states. We find two distinct surface
universality classes associated with inactive and reflective walls. Our results
indicate that the exponents associated with these two surface universality
classes are closely connected.Comment: latex, 4 pages, to appear in PR
Remarks on the mixed joint universality for a class of zeta-functions
Two remarks related with the mixed joint universality for a polynomial Euler
product and a periodic Hurwitz zeta-function with a transcendental parameter
are given. One is the mixed joint functional independence, and the other is a
generalized universality, which includes several periodic Hurwitz
zeta-functions.Comment: 12 page
Generalized Universality for TMD Distribution Functions
Azimuthal asymmetries in high-energy processes, most pronounced showing up in
combination with single or double (transverse) spin asymmetries, can be
understood with the help of transverse momentum dependent (TMD) parton
distribution and fragmentation functions. These appear in correlators
containing expectation values of quark and gluon operators. TMDs allow access
to new operators as compared to collinear (transverse momentum integrated)
correlators. These operators include nontrivial process dependent Wilson lines
breaking universality for TMDs. Making an angular decomposition in the
azimuthal angle, we define a set of universal TMDs of definite rank, which
appear with process dependent gluonic pole factors in a way similar to the sign
of T-odd parton distribution functions in deep inelastic scattering or the
Drell-Yan process. In particular, we show that for a spin 1/2 quark target
there are three pretzelocity functions.Comment: 9 pages, updated references and minor corrections, to appear in the
proceedings of the QCD Evolution Workshop 2012 (May 14-17, JLAB
Encoded Universality for Generalized Anisotropic Exchange Hamiltonians
We derive an encoded universality representation for a generalized
anisotropic exchange Hamiltonian that contains cross-product terms in addition
to the usual two-particle exchange terms. The recently developed algebraic
approach is used to show that the minimal universality-generating encodings of
one logical qubit are based on three physical qubits. We show how to generate
both single- and two-qubit operations on the logical qubits, using suitably
timed conjugating operations derived from analysis of the commutator algebra.
The timing of the operations is seen to be crucial in allowing simplification
of the gate sequences for the generalized Hamiltonian to forms similar to that
derived previously for the symmetric (XY) anisotropic exchange Hamiltonian. The
total number of operations needed for a controlled-Z gate up to local
transformations is five. A scalable architecture is proposed.Comment: 11 pages, 4 figure
Fixed energy universality for generalized Wigner matrices
We prove the Wigner-Dyson-Mehta conjecture at fixed energy in the bulk of the
spectrum for generalized symmetric and Hermitian Wigner matrices. Previous
results concerning the universality of random matrices either require an
averaging in the energy parameter or they hold only for Hermitian matrices if
the energy parameter is fixed. We develop a homogenization theory of the Dyson
Brownian motion and show that microscopic universality follows from mesoscopic
statistics
New critical matrix models and generalized universality
We study a class of one-matrix models with an action containing nonpolynomial terms. By tuning the coupling constants in the action to criticality we obtain that the eigenvalue density vanishes as an arbitrary real power at the origin, thus defining a new class of multicritical matrix models. The corresponding microscopic scaling law is given and possible applications to the chiral phase transition in QCD are discussed. For generic coupling constants off-criticality we prove that all microscopic correlation functions at the origin of the spectrum remain in the known Bessel universality class. An arbitrary number of Dirac mass terms can be included and the corresponding massive universality is maintained as well. We also investigate the critical behavior at the edge of the spectrum: there, in contrast to the behavior at the origin, we find the same critical exponents as derived from matrix models with a polynomial action
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