14,174 research outputs found

    Quasi-sparse eigenvector diagonalization and stochastic error correction

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    We briefly review the diagonalization of quantum Hamiltonians using the quasi-sparse eigenvector (QSE) method. We also introduce the technique of stochastic error correction, which systematically removes the truncation error of the QSE result by stochastically sampling the contribution of the remaining basis states.Comment: 5 pages, to appear in the proceedings of the International Light-Cone Meeting on Non-Perturbative QCD and Hadron Phenomenology, Heidelberg, June 200

    Lattice simulations for few- and many-body systems

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    We review the recent literature on lattice simulations for few- and many-body systems. We focus on methods and results that combine the framework of effective field theory with computational lattice methods. Lattice effective field theory is discussed for cold atoms as well as low-energy nucleons with and without pions. A number of different lattice formulations and computational algorithms are considered, and an effort is made to show common themes in studies of cold atoms and low-energy nuclear physics as well as common themes in work by different collaborations.Comment: 71 pages, 20 figures, published version to appear in Progress in Particle and Nuclear Physic

    Ground state energy of spin-1/2 fermions in the unitary limit

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    We present lattice results for the ground state energy of a spin-1/2 fermion system in the unitary limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the ground state energy for a system of 6, 10, 14, 18, and 22 particles, with equal numbers of up and down spins in a periodic cube. We estimate that in the limit of large number of particles, the ground state energy is 0.25(3) times the ground state energy of the free Fermi system.Comment: 17 pages, 9 figures, expanded manuscript includes more data and cross-check

    Spherical gauge fields

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    We introduce the spherical field formalism for free gauge fields. We discuss the structure of the spherical Hamiltonian for both general covariant gauge and radial gauge and point out several new features not present in the scalar field case. We then use the evolution equations to compute gauge-field and field-strength correlators

    Large-N droplets in two dimensions

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    Using lattice effective field theory, we study the ground state binding energy of N distinct particles in two dimensions with equal mass interacting weakly via an attractive SU(N)-symmetric short range potential. We find that in the limit of zero range and large N, the ratio of binding energies B_{N}/B_{N-1} approaches the value 8.3(6).Comment: 18 pages, 6 figures, version to appear in Phys. Rev.
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