289 research outputs found
Disorder by disorder and flat bands in the kagome transverse field Ising model
We study the transverse field Ising model on a kagome and a triangular
lattice using high-order series expansions about the high-field limit. For the
triangular lattice our results confirm a second-order quantum phase transition
in the 3d XY universality class. Our findings for the kagome lattice indicate a
notable instance of a disorder by disorder scenario in two dimensions. The
latter follows from a combined analysis of the elementary gap in the high- and
low-field limit which is shown to stay finite for all fields h. Furthermore,
the lowest one-particle dispersion for the kagome lattice is extremely flat
acquiring a dispersion only from order eight in the 1/h limit. This behaviour
can be traced back to the existence of local modes and their breakdown which is
understood intuitively via the linked cluster expansion.Comment: 11 pages, 11 figrue
Covariant Quark Model for the Baryons
A family of simply solvable covariant quark models for the baryons is
presented. With optimal parameter choices the models reproduce the empirical
spectra of the baryons in all flavor sectors to an accuracy of a few percent.
Complete spectra are obtained for all states of the strange, charm and beauty
hyperons with . The magnetic moments and axial coupling constants of
the ground state baryons correspond to those of conventional quark models. We
construct current-density operators that are consistent with empirical nucleon
form factors at low and medium energies.Comment: 32pages, LateX, 3 figures(postscript
A light-front coupled cluster method
A new method for the nonperturbative solution of quantum field theories is
described. The method adapts the exponential-operator technique of the standard
many-body coupled-cluster method to the Fock-space eigenvalue problem for
light-front Hamiltonians. This leads to an effective eigenvalue problem in the
valence Fock sector and a set of nonlinear integral equations for the functions
that define the exponential operator. The approach avoids at least some of the
difficulties associated with the Fock-space truncation usually used.Comment: 8 pages, 1 figure; to appear in the proceedings of LIGHTCONE 2011,
23-27 May 2011, Dalla
Nuclear Structure Calculations with Coupled Cluster Methods from Quantum Chemistry
We present several coupled-cluster calculations of ground and excited states
of 4He and 16O employing methods from quantum chemistry. A comparison of
coupled cluster results with the results of exact diagonalization of the
hamiltonian in the same model space and other truncated shell-model
calculations shows that the quantum chemistry inspired coupled cluster
approximations provide an excellent description of ground and excited states of
nuclei, with much less computational effort than traditional large-scale
shell-model approaches. Unless truncations are made, for nuclei like 16O,
full-fledged shell-model calculations with four or more major shells are not
possible. However, these and even larger systems can be studied with the
coupled cluster methods due to the polynomial rather than factorial scaling
inherent in standard shell-model studies. This makes the coupled cluster
approaches, developed in quantum chemistry, viable methods for describing
weakly bound systems of interest for future nuclear facilities.Comment: 10 pages, Elsevier latex style, Invited contribution to INPC04
proceedings, to appear in Nuclear Physics
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