JHEP 0506 (2005) 052 We use AdS/CFT duality to study the large N_c limit of the meson spectrum on
the Higgs branch of a strongly coupled, N=2 supersymmetric SU(N_c) gauge theory
with N_f =2 ...fundamental hypermultiplets. In the dual supergravity description,
the Higgs branch is described by SU(2) instanton configurations on D7-branes in
an AdS background. We compute the spectral flow parameterized by the size of a
single instanton. In the large N_c limit, there is a sense in which the flow
from zero to infinite instanton size, or Higgs VEV, can be viewed as a closed
loop. We show that this flow leads to a non-trivial rearrangement of the
spectrum.
The maritime package agreed on December 16, 1986, by the European Community (EC) Ministers, together with measures already adopted since 1977, forms the basis for an EC policy in the maritime field. ...The new package includes 4 regulations: 1. application of the principle of freedom to provide services to maritime transport between EC states and third countries, 2. rules covering effective application of the Treaty competition rules, 3. rules governing unfair pricing practices in maritime transport, and 4. provision for coordinated EC action to safeguard free access to cargoes in ocean trades. The basic principle inherent in the package is that a nonprotectionist policy is the best way to safeguard the application of commercial principles in shipping. The regulation on freedom to provide services requires cargo reservations practices to be phased out and the discontinuance of cargo sharing agreements with third countries.
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Class.Quant.Grav. 15 (1998) 273-280 We extend previous work on conformally covariant differential operators to
consider the case of second order operators acting on symmetric traceless
tensor fields. ...The corresponding flat space Green function is explicitly
constructed and shown to be in accord with the requirements of conformal
invariance.
Nucl.Phys. B483 (1997) 431-474 The implications of conformal invariance, as relevant in quantum field
theories at a renormalisation group fixed point, are analysed with particular
reference to ...results for correlation functions involving conserved currents and
the energy momentum tensor. Ward identities resulting from conformal invariance
are discussed. Explicit expressions for two and three point functions, which
are essentially determined by conformal invariance, are obtained. As special
cases we consider the three point functions for two vector and an axial current
in four dimensions, which realises the usual anomaly simply and unambiguously,
and also for the energy momentum tensor in general dimension $d$. The latter is
shown to have two linearly independent forms in which the Ward identities are
realised trivially, except if $d = 4$, when the two forms become degenerate.
This is necessary in order to accommodate the two independent forms present in
the trace of the energy momentum tensor on curved space backgrounds for
conformal field theories in four dimensions. The coefficients of the two trace
anomaly terms are related to the three parameters describing the general energy
momentum tensor three point function. The connections with gravitational
effective actions depending on a background metric are described. A particular
form due to Riegert is shown to be unacceptable. Conformally invariant
expressions for the effective action in four dimensions are obtained using the
Green function for a differential operator which has simple properties under
local rescalings of the metric.
Phys.Rev. D62 (2000) 045008 We show that next-to-extremal correlators of chiral primary operators in N=4
SYM theory do not receive quantum corrections to first order in perturbation
theory. ...Furthermore we consider next-to-extremal correlators within AdS
supergravity. Here the exchange diagrams contributing to these correlators
yield results of the same free-field form as obtained within field theory. This
suggests that quantum corrections vanish at strong coupling as well.
We highlight the progress, current status, and open challenges of QCD-driven physics, in theory and in experiment. We discuss how the strong interaction is intimately connected to a broad sweep of ...physical problems, in settings ranging from astrophysics and cosmology to strongly-coupled, complex systems in particle and condensed-matter physics, as well as to searches for physics beyond the Standard Model. We also discuss how success in describing the strong interaction impacts other fields, and, in turn, how such subjects can impact studies of the strong interaction. In the course of the work we offer a perspective on the many research streams which flow into and out of QCD, as well as a vision for future developments.
We extend previous work on conformally covariant differential operators to consider the case of second order operators acting on symmetric traceless tensor fields. The corresponding flat space Green ...function is explicitly constructed and shown to be in accord with the requirements of conformal invariance.
We use AdS/CFT duality to study the large N_c limit of the meson spectrum on the Higgs branch of a strongly coupled, N=2 supersymmetric SU(N_c) gauge theory with N_f =2 fundamental hypermultiplets. ...In the dual supergravity description, the Higgs branch is described by SU(2) instanton configurations on D7-branes in an AdS background. We compute the spectral flow parameterized by the size of a single instanton. In the large N_c limit, there is a sense in which the flow from zero to infinite instanton size, or Higgs VEV, can be viewed as a closed loop. We show that this flow leads to a non-trivial rearrangement of the spectrum.
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