383 research outputs found
Multigluon tree amplitudes with a pair of massive fermions
We consider the calculation of n-point multigluon tree amplitudes with a pair
of massive fermions in QCD. We give the explicit transformation rules of this
kind of massive fermion-pair amplitudes with respect to different reference
momenta and check the correctness of them by SUSY Ward identities. Using these
rules and onshell BCFW recursion relation, we calculate the analytic results of
several n-point multigluon amplitudes.Comment: 15page
An epitaxial model for heterogeneous nucleation on potent substrates
© The Minerals, Metals & Materials Society and ASM International 2012In this article, we present an epitaxial model for heterogeneous nucleation on potent substrates. It is proposed that heterogeneous nucleation of the solid phase (S) on a potent substrate (N) occurs by epitaxial growth of a pseudomorphic solid (PS) layer on the substrate surface under a critical undercooling (ΔT ). The PS layer with a coherent PS/N interface mimics the atomic arrangement of the substrate, giving rise to a linear increase of misfit strain energy with layer thickness. At a critical thickness (h ), elastic strain energy reaches a critical level, at which point, misfit dislocations are created to release the elastic strain energy in the PS layer. This converts the strained PS layer to a strainless solid (S), and changes the initial coherent PS/N interface into a semicoherent S/N interface. Beyond this critical thickness, further growth will be strainless, and solidification enters the growth stage. It is shown analytically that the lattice misfit (f) between the solid and the substrate has a strong influence on both h and ΔT ; h decreases; and ΔT increases with increasing lattice misfit. This epitaxial nucleation model will be used to explain qualitatively the generally accepted experimental findings on grain refinement in the literature and to analyze the general approaches to effective grain refinement.EPSRC Centre for Innovative Manufacturing in Liquid Metal Engineerin
Double Scaling Limits and Twisted Non-Critical Superstrings
We consider double-scaling limits of multicut solutions of certain one matrix
models that are related to Calabi-Yau singularities of type A and the
respective topological B model via the Dijkgraaf-Vafa correspondence. These
double-scaling limits naturally lead to a bosonic string with c 1. We
argue that this non-critical string is given by the topologically twisted
non-critical superstring background which provides the dual description of the
double-scaled little string theory at the Calabi-Yau singularity. The
algorithms developed recently to solve a generic multicut matrix model by means
of the loop equations allow to show that the scaling of the higher genus terms
in the matrix model free energy matches the expected behaviour in the
topological B-model. This result applies to a generic matrix model singularity
and the relative double-scaling limit. We use these techniques to explicitly
evaluate the free energy at genus one and genus two.Comment: 32 pages, 3 figure
Extended Holomorphic Anomaly in Gauge Theory
The partition function of an N=2 gauge theory in the Omega-background
satisfies, for generic value of the parameter beta=-eps_1/eps_2, the, in
general extended, but otherwise beta-independent, holomorphic anomaly equation
of special geometry. Modularity together with the (beta-dependent) gap
structure at the various singular loci in the moduli space completely fixes the
holomorphic ambiguity, also when the extension is non-trivial. In some cases,
the theory at the orbifold radius, corresponding to beta=2, can be identified
with an "orientifold" of the theory at beta=1. The various connections give
hints for embedding the structure into the topological string.Comment: 25 page
Cubic Interactions in PP-Wave Light Cone String Field Theory
We use the supergravity modes to clarify the role of the prefactor in the
light-cone superstring field theory on PP-wave background. We verify some of
the proposals of the recent paper hep-th/0205089 and give further evidence for
the correspondence between N=4 SYM gauge theory and string theory on PP-wave.
We also consider energy-preserving processes and find that they give vanishing
cubic interaction Hamiltonian matrix.Comment: 16+1 pages, no figures, LaTeX (v3: references, minor changes and a
clarification about Neumann matrices added; to appear in Physical Review D
Entropy-Corrected New Agegraphic Dark Energy Model in Horava-Lifshitz Gravity
In this work, we have considered the entropy-corrected new agegraphic dark
energy (ECNADE) model in Horava-Lifshitz gravity in FRW universe. We have
discussed the correspondence between ECNADE and other dark energy models such
as DBI-essence,Yang-Mills dark energy, Chameleon field, Non-linear
electrodynamics field and hessence dark energy in the context of
Horava-Lifshitz gravity and reconstructed the potentials and the dynamics of
the scalar field theory which describe the ECNADE.Comment: 12 page
Topological open strings on orbifolds
We use the remodeling approach to the B-model topological string in terms of
recursion relations to study open string amplitudes at orbifold points. To this
end, we clarify modular properties of the open amplitudes and rewrite them in a
form that makes their transformation properties under the modular group
manifest. We exemplify this procedure for the C^3/Z_3 orbifold point of local
P^2, where we present results for topological string amplitudes for genus zero
and up to three holes, and for the one-holed torus. These amplitudes can be
understood as generating functions for either open orbifold Gromov-Witten
invariants of C^3/Z_3, or correlation functions in the orbifold CFT involving
insertions of both bulk and boundary operators.Comment: 38 page
Centrality Dependence of the High p_T Charged Hadron Suppression in Au+Au collisions at sqrt(s_NN) = 130 GeV
PHENIX has measured the centrality dependence of charged hadron p_T spectra
from central Au+Au collisions at sqrt(s_NN)=130 GeV. The truncated mean p_T
decreases with centrality for p_T > 2 GeV/c, indicating an apparent reduction
of the contribution from hard scattering to high p_T hadron production. For
central collisions the yield at high p_T is shown to be suppressed compared to
binary nucleon-nucleon collision scaling of p+p data. This suppression is
monotonically increasing with centrality, but most of the change occurs below
30% centrality, i.e. for collisions with less than about 140 participating
nucleons. The observed p_T and centrality dependence is consistent with the
particle production predicted by models including hard scattering and
subsequent energy loss of the scattered partons in the dense matter created in
the collisions.Comment: 7 pages text, LaTeX, 6 figures, 2 tables, 307 authors, resubmitted to
Phys. Lett. B. Revised to address referee concerns. Plain text data tables
for the points plotted in figures for this and previous PHENIX publications
are publicly available at
http://www.phenix.bnl.gov/phenix/WWW/run/phenix/papers.htm
Exact results for topological strings on resolved Y(p,q) singularities
We obtain exact results in \alpha' for open and closed A-model topological
string amplitudes on a large class of toric Calabi-Yau threefolds by using
their correspondence with five dimensional gauge theories. The toric
Calabi-Yau's that we analyze are obtained as minimal resolution of cones over
Y(p,q) manifolds and give rise via M-theory compactification to SU(p) gauge
theories on R^4 x S^1. As an application we present a detailed study of the
local F_2 case and compute open and closed genus zero Gromov-Witten invariants
of the C^3/Z_4 orbifold. We also display the modular structure of the
topological wave function and give predictions for higher genus amplitudes.The
mirror curve in this case is the spectral curve of the relativistic A_1 Toda
chain. Our results also indicate the existence of a wider class of relativistic
integrable systems associated to generic Y(p,q) geometries.Comment: 54 pages, 10 figures; typos corrected, new section added. Version
accepted for publication on Communications in Mathematical Physic
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Measurement of Bottom versus Charm as a Function of Transverse Momentum with Electron-Hadron Correlations in p+p Collisions at sqrt(s)=200 GeV
The momentum distribution of electrons from semi-leptonic decays of charm and
bottom for mid-rapidity |y|<0.35 in p+p collisions at sqrt(s)=200 GeV is
measured by the PHENIX experiment at the Relativistic Heavy Ion Collider (RHIC)
over the transverse momentum range 2 < p_T < 7 GeV/c. The ratio of the yield of
electrons from bottom to that from charm is presented. The ratio is determined
using partial D/D^bar --> e^{+/-} K^{-/+} X (K unidentified) reconstruction. It
is found that the yield of electrons from bottom becomes significant above 4
GeV/c in p_T. A fixed-order-plus-next-to-leading-log (FONLL) perturbative
quantum chromodynamics (pQCD) calculation agrees with the data within the
theoretical and experimental uncertainties. The extracted total bottom
production cross section at this energy is \sigma_{b\b^bar}= 3.2
^{+1.2}_{-1.1}(stat) ^{+1.4}_{-1.3}(syst) micro b.Comment: 432 authors, 6 pages text, 3 figures. Submitted to Phys. Rev. Lett.
Plain text data tables for the points plotted in figures for this and
previous PHENIX publications are (or will be) publicly available at
http://www.phenix.bnl.gov/papers.htm
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