38 research outputs found
Loop Equation in Two-dimensional Noncommutative Yang-Mills Theory
The classical analysis of Kazakov and Kostov of the Makeenko-Migdal loop
equation in two-dimensional gauge theory leads to usual partial differential
equations with respect to the areas of windows formed by the loop. We extend
this treatment to the case of U(N) Yang-Mills defined on the noncommutative
plane. We deal with all the subtleties which arise in their two-dimensional
geometric procedure, using where needed results from the perturbative
computations of the noncommutative Wilson loop available in the literature. The
open Wilson line contribution present in the non-commutative version of the
loop equation drops out in the resulting usual differential equations. These
equations for all N have the same form as in the commutative case for N to
infinity. However, the additional supplementary input from factorization
properties allowing to solve the equations in the commutative case is no longer
valid.Comment: 20 pages, 3 figures, references added, small clarifications adde
Morita Duality and Noncommutative Wilson Loops in Two Dimensions
We describe a combinatorial approach to the analysis of the shape and
orientation dependence of Wilson loop observables on two-dimensional
noncommutative tori. Morita equivalence is used to map the computation of loop
correlators onto the combinatorics of non-planar graphs. Several
nonperturbative examples of symmetry breaking under area-preserving
diffeomorphisms are thereby presented. Analytic expressions for correlators of
Wilson loops with infinite winding number are also derived and shown to agree
with results from ordinary Yang-Mills theory.Comment: 32 pages, 9 figures; v2: clarifying comments added; Final version to
be published in JHE
On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions
We present an investigation on the invariance properties of noncommutative
Yang-Mills theory in two dimensions under area preserving diffeomorphisms.
Stimulated by recent remarks by Ambjorn, Dubin and Makeenko who found a
breaking of such an invariance, we confirm both on a fairly general ground and
by means of perturbative analytical and numerical calculations that indeed
invariance under area preserving diffeomorphisms is lost. However a remnant
survives, namely invariance under linear unimodular tranformations.Comment: LaTeX JHEP style, 16 pages, 2 figure
Small deformations of supersymmetric Wilson loops and open spin-chains
We study insertions of composite operators into Wilson loops in N=4
supersymmetric Yang-Mills theory in four dimensions. The loops follow a
circular or straight path and the composite insertions transform in the adjoint
representation of the gauge group. This provides a gauge invariant way to
define the correlator of non-singlet operators. Since the basic loop preserves
an SL(2,R) subgroup of the conformal group, we can assign a conformal dimension
to those insertions and calculate the corrections to the classical dimension in
perturbation theory. The calculation turns out to be very similar to that of
single-trace local operators and may also be expressed in terms of a
spin-chain. In this case the spin-chain is open and at one-loop order has
Neumann boundary conditions on the type of scalar insertions that we consider.
This system is integrable and we write the Bethe ansatz describing it. We
compare the spectrum in the limit of large angular momentum both in the dilute
gas approximation and the thermodynamic limit to the relevant string solution
in the BMN limit and in the full AdS_5 x S^5 metric and find agreement.Comment: 40 pages, amstex, 4 figures. V2: Corrected eqn (2.14) and some
equations in section 5. Version to appear in JHE
Probability distribution of the index in gauge theory on 2d non-commutative geometry
We investigate the effects of non-commutative geometry on the topological
aspects of gauge theory using a non-perturbative formulation based on the
twisted reduced model. The configuration space is decomposed into topological
sectors labeled by the index nu of the overlap Dirac operator satisfying the
Ginsparg-Wilson relation. We study the probability distribution of nu by Monte
Carlo simulation of the U(1) gauge theory on 2d non-commutative space with
periodic boundary conditions. In general the distribution is asymmetric under
nu -> -nu, reflecting the parity violation due to non-commutative geometry. In
the continuum and infinite-volume limits, however, the distribution turns out
to be dominated by the topologically trivial sector. This conclusion is
consistent with the instanton calculus in the continuum theory. However, it is
in striking contrast to the known results in the commutative case obtained from
lattice simulation, where the distribution is Gaussian in a finite volume, but
the width diverges in the infinite-volume limit. We also calculate the average
action in each topological sector, and provide deeper understanding of the
observed phenomenon.Comment: 16 pages,10 figures, version appeared in JHE
Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 2. 1/\theta Expansion
We analyze the and 1/N expansions of the Wilson loop averages
in the two-dimensional noncommutative
gauge theory with the parameter of noncommutativity . For a generic
rectangular contour , a concise integral representation is derived
(non-perturbatively both in the coupling constant and in ) for
the next-to-leading term of the expansion. In turn, in the limit
when is much larger than the area of the surface bounded by
, the large asymptote of this representation is argued to yield the
next-to-leading term of the series. For both of the expansions, the
next-to-leading contribution exhibits only a power-like decay for areas
(but ) much larger than the inverse of the
string tension defining the range of the exponential decay of the
leading term. Consequently, for large , it hinders a direct stringy
interpretation of the subleading terms of the 1/N expansion in the spirit of
Gross-Taylor proposal for the commutative D=2 gauge theory.Comment: LaTex, 50pp., 9 PostScript figure
A EXPERIÊNCIA DE HOSPITALIZAÇÃO EXPLICADA PELA PRÓPRIA CRIANÇA
O presente estudo foi realizado com 20 crianças, em idade escolar, internadas em unidades pediátricas. Teve como objetivos identificar: como as crianças expressam a percepção de sua doença e hospitalização; os recursos de 'que elas dispõem para obter conhecimento sobre sua experiência de doença e hospitalização; e seus interesses e preocupações
TESS Reveals a Short-period Sub-Neptune Sibling (HD 86226c) to a Known Long-period Giant Planet
The Transiting Exoplanet Survey Satellite mission was designed to find transiting planets around bright, nearby stars. Here, we present the detection and mass measurement of a small, short-period (≈4 days) transiting planet around the bright (V = 7.9), solar-type star HD 86226 (TOI-652, TIC 22221375), previously known to host a long-period (∼1600 days) giant planet. HD 86226c (TOI-652.01) has a radius of 2.16 0.08 R ⊕ and a mass of M ⊕, based on archival and new radial velocity data. We also update the parameters of the longer-period, not-known-to-transit planet, and find it to be less eccentric and less massive than previously reported. The density of the transiting planet is 3.97 g cm-3, which is low enough to suggest that the planet has at least a small volatile envelope, but the mass fractions of rock, iron, and water are not well-constrained. Given the host star brightness, planet period, and location of the planet near both the "radius gap"and the "hot Neptune desert,"HD 86226c is an interesting candidate for transmission spectroscopy to further refine its composition
A hot mini-Neptune in the radius valley orbiting solar analogue HD 110113
We report the discovery of HD 110113 b (TESS object of interest-755.01), a transiting mini-Neptune exoplanet on a 2.5-d orbit around the solar-analogue HD 110113 (Teff = 5730 K). Using TESS photometry and High Accuracy Radial velocity Planet Searcher (HARPS) radial velocities gathered by the NCORES program, we find that HD 110113 b has a radius of 2.05 ± 0.12 R⊕ and a mass of 4.55 ± 0.62 M⊕. The resulting density of g cm-3 is significantly lower than would be expected from a pure-rock world; therefore HD 110113 b must be a mini-Neptune with a significant volatile atmosphere. The high incident flux places it within the so-called radius valley; however, HD 110113 b was able to hold on to a substantial (0.1-1 per cent) H-He atmosphere over its ∼4 Gyr lifetime. Through a novel simultaneous Gaussian process fit to multiple activity indicators, we were also able to fit for the strong stellar rotation signal with period 20.8 ± 1.2 d from the RVs and confirm an additional non-transiting planet, HD 110113 c, which has a mass of 10.5 ± 1.2 M⊕ and a period of d