2,581 research outputs found
Fermion loop simulation of the lattice Gross-Neveu model
We present a numerical simulation of the Gross-Neveu model on the lattice
using a new representation in terms of fermion loops. In the loop
representation all signs due to Pauli statistics are eliminated completely and
the partition function is a sum over closed loops with only positive weights.
We demonstrate that the new formulation allows to simulate volumes which are
two orders of magnitude larger than those accessible with standard methods
Green-Schwarz superstring on the lattice
We consider possible discretizations for a gauge-fixed Green-Schwarz action of Type IIB superstring. We use them for measuring the action, from which we extract the cusp anomalous dimension of planar N=4 SYM as derived from AdS/CFT, as well as the mass of the two AdS excitations transverse to the relevant null cusp classical string solution. We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and two Wilson-like fermion discretizations, one of which preserves the global SO(6) symmetry the model. We compare our results with the expected behavior at various values of g=λ√4π . For both the observables, we find a good agreement for large g, which is the perturbative regime of the sigma-model. For smaller values of g, the expectation value of the action exhibits a deviation compatible with the presence of quadratic divergences. After their non-perturbative subtraction the continuum limit can be taken, and suggests a qualitative agreement with the non-perturbative expectation from AdS/CFT. Furthermore, we detect a phase in the fermion determinant, whose origin we explain, that for small g leads to a sign problem not treatable via standard reweigthing. The continuum extrapolations of the observables in the two different discretizations agree within errors, which is strongly suggesting that they lead to the same continuum limit. Part of the results discussed here were presented earlier in [1]
Better Jet Clustering Algorithms
We investigate modifications to the -clustering jet algorithm which
preserve the advantages of the original Durham algorithm while reducing
non-perturbative corrections and providing better resolution of jet
substructure. We find that a simple change in the sequence of clustering
(combining smaller-angle pairs first), together with the `freezing' of soft
resolved jets, has beneficial effects.Comment: 32 pages, 16 figures, LaTeX2e, uses JHEP.cls (included). Version to
be published in JHEP: reference to LUCLUS algorithm added. Program available
at http://www.hep.phy.cam.ac.uk/theory/webber/camjet
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Lattice and string worldsheet in AdS/CFT: a numerical study
We consider a possible discretization for the gauge-fixed Green-Schwarz (two-dimensional) sigma-model action for the Type IIB superstring and use it for measuring the cusp anomalous dimension of planar SYM as derived from string theory. We perform lattice simulations employing a Rational Hybrid Monte Carlo (RHMC) algorithm and a Wilson-like fermion discretization. In this preliminary study, we compare our results with the expected behavior for very large values of , which is the perturbative regime of the sigma-model, and find a qualitative agreement at finite lattice spacing. For smaller the continuum limit is obstructed by a divergence. We also detect a phase in the fermion determinant, whose origin we explain, which for small leads to a sign problem not treatable via standard reweigthing. Results presented here are discussed thoroughly in~\cite{toappear}
Linear and nonlinear optical characteristics of the Falicov-Kimball model
We calculate the linear and nonlinear optical properties of the
Falicov-Kimball model for a mixed-valent system within the self-consistent
mean-field approximation. Second-harmonic generation can only occur if the
mixed-valent state has a built-in coherence between the itinerant d-electrons
and the localized f-holes. By contrast, second-harmonic generation cannot occur
for solutions of the model with f-site occupation as a good quantum number. As
an experimental test of coherence in mixed-valent compounds we propose a
measurement of the dynamic second-order susceptibility.Comment: 4 pages, 2 PostScript figures, to appear in Physical Review Letter
Preparing for N(f) = 2 simulations at small lattice spacings
We discuss some large effects of dynamical fermions. One is a cutoff effect, others concern the contribution of multi-pion states to correlation functions and are expected to survive the continuum limit. We then turn to the preparation for simulations at small lattice spacings which we are planning down to around a=0.04fm in order to understand the size of O(a^2)-effects of the standard O(a)-improved theory. The dependence of the lattice spacing on the bare coupling is determined through the Schr'odinger functional renormalized coupling
On Metal-Insulator Transitions due to Self-Doping
We investigate the influence of an unoccupied band on the transport
properties of a strongly correlated electron system. For that purpose,
additional orbitals are coupled to a Hubbard model via hybridization. The
filling is one electron per site. Depending on the position of the additional
band, both, a metal--to--insulator and an insulator--to--metal transition occur
with increasing hybridization. The latter transition from a Mott insulator into
a metal via ``self--doping'' was recently proposed to explain the low carrier
concentration in . We suggest a restrictive parameter regime for
this transition making use of exact results in various limits. The predicted
absence of the self--doping transition for nested Fermi surfaces is confirmed
by means of an unrestricted Hartree--Fock approximation and an exact
diagonalization study in one dimension. In the general case metal--insulator
phase diagrams are obtained within the slave--boson mean--field and the
alloy--analog approximation.Comment: 9 pages, Revtex, 6 postscript figure
Impact of dynamical charm quarks
We compute and compare the continuum limits of several quantities in QCD with and without a dynamical charm quark. We consider both low energy quantities, like the hadronic scales r0 and t 0 , and high energy quantities, like the charmonium masses
Theory of Electronic Ferroelectricity
We present a theory of the linear and nonlinear optical characteristics of
the insulating phase of the Falicov-Kimball model within the self-consistent
mean-field approximation. The Coulomb attraction between the itinerant
d-electrons and the localized f-holes gives rise to a built-in coherence
between the d and f-states, which breaks the inversion symmetry of the
underlying crystal, leading to: (1) electronic ferroelectricity, (2)
ferroelectric resonance, and (3) a nonvanishing susceptibility for
second-harmonic generation. As experimental tests of such a built-in coherence
in mixed-valent compounds we propose measurements of the static dielectric
constant, the microwave absorption spectrum, and the dynamic second-order
susceptibility.Comment: 15 pages, 5 PostScript figures, submitted to Physical Review
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