449 research outputs found
Confining ensemble of dyons
We construct the integration measure over the moduli space of an arbitrary
number of N kinds of dyons of the pure SU(N) gauge theory at finite
temperatures. The ensemble of dyons governed by the measure is mathematically
described by a (supersymmetric) quantum field theory that is exactly solvable
and is remarkable for a number of striking features: 1) The free energy has the
minimum corresponding to the zero average Polyakov line, as expected in the
confining phase; 2)The correlation function of two Polyakov lines exhibits a
linear potential between static quarks in any N-ality non-zero representation,
with a calculable string tension roughly independent of temperature; 3) The
average spatial Wilson loop falls off exponentially with its area and the same
string tension; 4) At a critical temperature the ensemble of dyons rearranges
and de-confines; 5)The estimated ratio of the critical temperature to the
square root of the string tension is in excellent agreement with the lattice
data.Comment: 26 pp. Construction of general N-ality = k strings added. The title
change
The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
The nucleon form factors of the energy-momentum tensor are studied in the
large-Nc limit in the framework of the chiral quark-soliton model for model
parameters that simulate physical situations in which pions are heavy. This
allows for a direct comparison to lattice QCD results.Comment: 17 pages, 12 figure
Exotic baryon multiplets at large number of colours
We generalize the usual octet, decuplet and exotic antidecuplet and higher
baryon multiplets to any number of colours Nc. We show that the multiplets fall
into a sequence of bands with O(1/Nc) splittings inside the band and
O(1)splittings between the bands characterized by "exoticness", that is the
number of extra quark-antiquark pairs needed to compose the multiplet. Each
time one adds a pair the baryon mass is increased by the same constant which
can be interpreted as a mass of a quark-antiquark pair. At the same time, we
prove that masses of exotic rotational multiplets are reliably determined at
large Nc from collective quantization of chiral solitons.Comment: 13 p., 5 figs. New section and references adde
Correlated two-pion exchange and large-N(C) behavior of nuclear forces
The effect of correlated scalar-isoscalar two-pion exchange (CrTPE) modes is
considered in connection with central and spin-orbit parts of the NN force. The
two-pion correlation function is coupled directly to the scalar form factor of
the nucleon which we calculate in the large-N(C) limit where the nucleon can be
described as a soliton of an effective chiral theory. The results for the
central NN force show a strong repulsive core at short internucleon distances
supplemented by a moderate attraction beyond 1 fm. The long-range tail of the
central NN potential is driven by the the pion-nucleon sigma term and
consistent with the effective meson exchange. The spin-orbit part of
the NN potential is repulsive. The large-N(C) scaling behavior of the
scalar-isoscalar NN interaction is addressed. We show that the spin-orbit part
is O(1/N^2(C)) in strength relative to the central force resulting in the ratio
suggested by the 1/N(C) expansion for N(C)=3. The latter is in
agreement with our numerical analysis and with the Kaplan-Manohar large-N(C)
power counting. Unitarization of the scattering amplitude plays here
an important role and improves the tree level results. Analytical
representations of the CrTPE NN potential in terms of elementary functions are
derived and their chiral content is discussed.Comment: 29 pages, 7 figure
The nonperturbative origin of delta-function singularity in the chirally-odd twist-3 distribution function e(x)
We analytically prove that the existence of the delta-function singularity in
the chirally-odd twist-3 distribution of the nucleon is inseparably
connected with the nonvanishing quark condensate as a signal of the spontaneous
chiral symmetry breaking of the QCD vacuum. This singularity in , which
would be observed as a sizable violation of the 1st moment sum rule, is then
interpreted as giving a very rare case that the nontrivial vacuum structure of
QCD manifests in an observable of a localized QCD excitation, i.e. the nucleon.Comment: 9 pages, 1 eps-figur
Isovector unpolarized quark distribution in the nucleon in the large-N_c limit
We calculate the isovector (flavor-nonsinglet) unpolarized quark- and
antiquark distributions in the nucleon at a low normalization point in the
large-N_c limit. The nucleon is described as a soliton of the effective chiral
theory. The isovector distribution appears in the next-to-leading order of the
1/N_c-expansion. Numerical results for the quark- and antiquark distributions
compare well with the parametrizations of the data at a low normalization
point. This large-N_c approach gives a flavor asymmetry of the antiquark
distribution (violation of the Gottfried sum rule) in good agreement with the
measurements.Comment: 31 pages, LaTeX, 1 table, 4 figures included using eps
Highlights of Recent Results with Clas
Recent results on the study of the electromagnetic structure of nucleon
resonances, the spin structure of proton and neutrons at small and intermediate
photon virtualities, and the search for exotic pentaquark baryons are
presented.Comment: 12 pages, 8 figures, invited talk at MENU2004, Beijin
Monopole Spectra in non-Abelian Gauge Theories
We study the continuum limit of the length spectrum of magnetic monopole
structures found after various Abelian projections of pure gauge SU(2),
including the maximally Abelian gauge. We comment on Gribov copies, and
measurements of the string tension.Comment: Talk presented at LATTICE96(topology) LaTeX, with 4 LaTeX figure
Clustering of Monopoles in the Instanton Vacuum
We generate a random instanton vacuum with various densities and size
distributions. We perform numerically the maximally abelian gauge fixing of
these configurations in order to find monopole trajectories induced by
instantons. We find that instanton-induced monopole loops form enormous
clusters occupying the whole physical volume, provided instantons are
sufficiently dense. It indicates that confinement might be caused by
instantons.Comment: 7 pages, Plain Latex, (3 figures - available on request from
[email protected]
Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
In this talk we present our recent studies for the unpolarized fragmentation
functions for the pion and kaon, employing the nonlocal chiral quark model,
which manifests the nonlocal interaction between the quarks and pseudoscalar
mesons, in the light-cone frame. It turns out that the nonlocal interaction
produces considerable differences in comparison to typical local-interaction
models.Comment: 4 pages, 2 figures, Talk given at the international conference The
Fifth Asia-Pacific Conference on Few-Body Systems in Physics 2011 (APFB2011),
Seoul, Republic of Korea, 22-26 August 201
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