106 research outputs found
Looking for Effects of Topology in the Dirac Spectrum of Staggered Fermions
We classify SU(3) gauge field configurations in different topological sectors
by the smearing technique. In each sector we compute the distribution of low
lying eigenvalues of the staggered Dirac operator. In all sectors we find
perfect agreement with the predictions for the sector of topological charge
zero. The smallest Dirac operator eigenvalues of staggered fermions at
presently realistic lattice couplings are thus insensitive to gauge field
topology. On the smeared configurations, eigenvalues go to zero in
agreement with the index theorem.Comment: Poster at Lattice99(topology), 3 page
Eigenvalue Distributions of the QCD Dirac Operator
We compute by Monte Carlo methods the individual distributions of the th
smallest Dirac operator eigenvalues in QCD, and compare them with recent
analytical predictions. We do this for both massless and massive quarks in an
SU(3) gauge theory with staggered fermions. Very precise agreement is found in
all cases. As a simple by-product we also extract the microscopic spectral
density of the Dirac operator in SU(3) gauge theory with dynamical massive
fermions for and 2, and obtain high-accuracy agreement with analytical
expressions.Comment: LaTeX, 8 pages, 9 postscript figures. Very minor correction
Patterns of Spontaneous Chiral Symmetry Breaking in Vectorlike Gauge Theories
It has been conjectured that spontaneous chiral symmetry breaking in strongly
coupled vectorlike gauge theories falls into only three different classes,
depending on the gauge group and the representations carried by the fermions.
We test this proposal by studying SU(2), SU(3) and SU(4) lattice gauge theories
with staggered fermions in different irreducible representations. Staggered
fermions away from the continuum limit should, for all complex representations,
still belong to the continuum class of spontaneous symmetry breaking. But for
all real and pseudo-real representations we show that staggered fermions should
belong to incorrect symmetry breaking classes away from the continuum, thus
generalizing previous results. As an unambiguous signal for whether chiral
symmetry breaks, and which breaking pattern it follows, we look at the smallest
Dirac eigenvalue distributions. We find that the patterns of symmetry breaking
are precisely those conjectured.Comment: LaTeX, 17 pages. Typos in eq (17) correcte
Improved KL->pi e nu Form Factor and Phase Space Integral with Reduced Model Uncertainty
Using the published KTeV sample of 2 million KL-> pi e nu decays and a new
form factor expansion with a rigorous bound on higher order terms, we present a
new determination of the KL->pi e nu form factor and phase space integral.
Compared to the previous KTeV result, the uncertainty in the new form factor
expansion is negligible and results in an overall uncertainty in the phase
space integral (IKe) that is a factor of two smaller: IKe = 0.15392 +- 0.00048
\.Comment: 3 pages, 2 figures, submitted to PRD Rapid Communicatio
Measurements of the Decay
The E799-II (KTeV) experiment at Fermilab has collected 83262 events above a background of 79 events. We measure a decay width,
normalized to the (\pi^0 \to \gamma\gamma, \pi^0 to
\gamma\gamma, \pi^0_D \to e^+e^-\gamma) decay width, of K_L \to
e^+e^-\gamma. We also measure parameters of two form factor models. In the Bergstrom, Masso, and Singer
(BMS) parametrization, we find \caks = -0.517 \pm 0.030_{stat} \pm
0.022_{syst}. We separately fit for the first parameter of the D'Ambrosio,
Isidori, and Portoles (DIP) model and find \adip = -1.729 \pm 0.043_{stat} \pm
0.028_{syst}.Comment: 5 pages, 3 figures, submitted to PR
Determination of the Parity of the Neutral Pion via the Four-Electron Decay
We present a new determination of the parity of the neutral pion via the
double Dalitz decay pi^0 -> e+ e- e+ e-. Our sample, which consists of 30511
candidate decays, was collected from K_L -> pi0 pi0 pi0 decays in flight at the
KTeV-E799 experiment at Fermi National Accelerator Laboratory. We confirm the
negative pi^0 parity, and place a limit on scalar contributions to the pi^0 ->
e+ e- e+ e- decay amplitude of less than 3.3% assuming CPT conservation. The
pi^0 gamma* gamma* form factor is well described by a momentum-dependent model
with a slope parameter fit to the final state phase space distribution.
Additionally, we have measured the branching ratio of this mode to be B(pi^0 ->
e+ e- e+ e-) = (3.26 +- 0.18) x 10^(-5).Comment: 5 pages, 4 figures. Typographical error in radiative branching ratio
(Eq. 6) correcte
Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
We compute the low-lying spectrum of the staggered Dirac operator above and
below the finite temperature phase transition in both quenched QCD and in
dynamical four flavor QCD. In both cases we find, in the high temperature
phase, a density with close to square root behavior, . In the quenched simulations we find, in addition, a
volume independent tail of small eigenvalues extending down to zero. In the
dynamical simulations we also find a tail, decreasing with decreasing mass, at
the small end of the spectrum. However, the tail falls off quite quickly and
does not seem to extend to zero at these couplings. We find that the
distribution of the smallest Dirac operator eigenvalues provides an efficient
observable for an accurate determination of the location of the chiral phase
transition, as first suggested by Jackson and Verbaarschot.Comment: LaTeX, 20 pages, 13 postscript figures. Reference added. To appear in
Nucl. Phys.
Search for the Rare Decay K_{L}\to\pi^{0}\pi^{0}\gamma
The KTeV E799 experiment has conducted a search for the rare decay
via the topology
(where ). Due to Bose
statistics of the pair and the real nature of the photon, the
decay is restricted to proceed at lowest order
by the CP conserving direct emission (DE) of an E2 electric quadrupole photon.
The rate of this decay is interesting theoretically since chiral perturbation
theory predicts that this process vanishes at level . Therefore, this
mode probes chiral perturbation theory at . In this paper we report a
determination of an upper limit of (90% CL) for
. This is approximately a factor of 20 lower than
previous results.Comment: six pages and six figures in the submission. Reformatted for Physics
Review
Search for the Rare Decays KL->pi0pi0mu+mu- and KL->pi0pi0X0->pi0pi0mu+mu-
The KTeV E799 experiment has conducted a search for the rare decays
KL->pi0pi0mu+mu- and KL->pi0pi0X0->pi0pi0mu+mu-, where the X0 is a possible new
neutral boson that was reported by the HyperCP experiment with a mass of (214.3
pm 0.5) MeV/c^{2}. We find no evidence for either decay. We obtain upper limits
of Br(KL->pi0pi0X0->pi0pi0mu+mu-) pi0pi0mu+mu-) <
9.2 x 10^{-11} at the 90% confidence level. This result rules out the
pseudoscalar X0 as an explanation of the HyperCP result under the scenario that
the \bar{d}sX0 coupling is completely real
Detailed Study of the KL -> 3pi0 Dalitz Plot
Using a sample of 68 million KL -> 3pi0 decays collected in 1996-1999 by the
KTeV (E832) experiment at Fermilab, we present a detailed study of the KL ->
3pi0 Dalitz plot density. We report the first observation of interference from
KL->pi+pi-pi0 decays in which pi+pi- rescatters to 2pi0 in a final-state
interaction. This rescattering effect is described by the Cabibbo-Isidori
model, and it depends on the difference in pion scattering lengths between the
isospin I=0 and I=2 states, a0-a2. Using the Cabibbo-Isidori model, we present
the first measurement of the KL-> 3pi0 quadratic slope parameter that accounts
for the rescattering effect.Comment: accepted by Phys. Rev
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