21,363 research outputs found
String Breaking in Four Dimensional Lattice QCD
Virtual quark pair screening leads to breaking of the string between
fundamental representation quarks in QCD. For unquenched four dimensional
lattice QCD, this (so far elusive) phenomenon is studied using the recently
developed truncated determinant algorithm (TDA). The dynamical configurations
were generated on an Athlon 650 MHz PC. Quark eigenmodes up to 420 MeV are
included exactly in these TDA studies performed at low quark mass on large
coarse (but O() improved) lattices. A study of Wilson line correlators in
Coulomb gauge extracted from an ensemble of 1000 two-flavor dynamical
configurations reveals evidence for flattening of the string tension at
distances R approximately 1 fm.Comment: 16 pages, 5 figures, Latex (deleted extraneous eps figure file
Modular Forms on the Double Half-Plane
We formulate a notion of modular form on the double half-plane for
half-integral weights and explain its relationship to the usual notion of
modular form. The construction we provide is compatible with certain physical
considerations due to the second author.Comment: 17 pages: Minor corrections in text (due to a helpful referee),
updated affiliations. Accepted for publication in the International Journal
for Number Theory (IJNT
Umbral Moonshine and the Niemeier Lattices
In this paper we relate umbral moonshine to the Niemeier lattices: the 23
even unimodular positive-definite lattices of rank 24 with non-trivial root
systems. To each Niemeier lattice we attach a finite group by considering a
naturally defined quotient of the lattice automorphism group, and for each
conjugacy class of each of these groups we identify a vector-valued mock
modular form whose components coincide with mock theta functions of Ramanujan
in many cases. This leads to the umbral moonshine conjecture, stating that an
infinite-dimensional module is assigned to each of the Niemeier lattices in
such a way that the associated graded trace functions are mock modular forms of
a distinguished nature. These constructions and conjectures extend those of our
earlier paper, and in particular include the Mathieu moonshine observed by
Eguchi-Ooguri-Tachikawa as a special case. Our analysis also highlights a
correspondence between genus zero groups and Niemeier lattices. As a part of
this relation we recognise the Coxeter numbers of Niemeier root systems with a
type A component as exactly those levels for which the corresponding classical
modular curve has genus zero.Comment: 181 pages including 95 pages of Appendices; journal version, minor
typos corrected, Research in the Mathematical Sciences, 2014, vol.
A study of resistojet systems directed to the space station/base Final report
Biowaste resistojet subsystem for integrated environmental control and life support of space statio
Unquenched QCD with Light Quarks
We present recent results in unquenched lattice QCD with two degenerate light
sea quarks using the truncated determinant approximation (TDA). In the TDA the
infrared modes contributing to the quark determinant are computed exactly up to
some cutoff in quark off-shellness (typically 2). This approach
allows simulations to be performed at much lighter quark masses than possible
with conventional hybrid MonteCarlo techniques. Results for the static energy
and topological charge distributions are presented using a large ensemble
generated on very coarse (6) but physically large lattices. Preliminary
results are also reported for the static energy and meson spectrum on 10x20
lattices (lattice scale =1.15 GeV) at quark masses corresponding to
pions of mass 200 MeV. Using multiboson simulation to compute the
ultraviolet part of the quark determinant the TDA approach becomes an exact
with essentially no increase in computational effort. Some preliminary results
using this fully unquenched algorithm are presented.Comment: LateX, 39 pages, 16 eps figures, 1 ps figur
A Damping of the de Haas-van Alphen Oscillations in the superconducting state
Deploying a recently developed semiclassical theory of quasiparticles in the
superconducting state we study the de Haas-van Alphen effect. We find that the
oscillations have the same frequency as in the normal state but their amplitude
is reduced. We find an analytic formulae for this damping which is due to
tunnelling between semiclassical quasiparticle orbits comprising both
particle-like and hole-like segments. The quantitative predictions of the
theory are consistent with the available data.Comment: 7 pages, 5 figure
Quantum Dynamics of the Slow Rollover Transition in the Linear Delta Expansion
We apply the linear delta expansion to the quantum mechanical version of the
slow rollover transition which is an important feature of inflationary models
of the early universe. The method, which goes beyond the Gaussian
approximation, gives results which stay close to the exact solution for longer
than previous methods. It provides a promising basis for extension to a full
field theoretic treatment.Comment: 12 pages, including 4 figure
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