1,887 research outputs found
Strong Coupling Phenomena on the Noncommutative Plane
We study strong coupling phenomena in U(1) gauge theory on the
non-commutative plane. To do so, we make use of a T-dual description in terms
of an limit of U(N) gauge theory on a commutative torus. The
magnetic flux on this torus is taken to be , while the area scales like
1/N, keeping fixed. With a few assumptions, we argue that the
speed of high frequency light in pure non-commutative QED is modified in the
non-commutative directions by the factor , where
is the non-commutative parameter. If charged flavours are included,
there is an upper bound on the momentum of a photon propagating in the
non-commutative directions, beyond which it is unstable against production of
charged pairs. We also discuss a particular limit of pure
non-commutative QED which is T-dual to a more conventional limit
with fixed. In the non-commutative description, this limit gives rise to
an exotic theory of open strings.Comment: 24 pages, latex, 2 figures, corrected typo in eqn 6.
Wilson line correlators in two-dimensional noncommutative Yang-Mills theory
We study the correlator of two parallel Wilson lines in two-dimensional
noncommutative Yang-Mills theory, following two different approaches. We first
consider a perturbative expansion in the large-N limit and resum all planar
diagrams. The second approach is non-perturbative: we exploit the Morita
equivalence, mapping the two open lines on the noncommutative torus (which
eventually gets decompacted) in two closed Wilson loops winding around the dual
commutative torus. Planarity allows us to single out a suitable region of the
variables involved, where a saddle-point approximation of the general Morita
expression for the correlator can be performed. In this region the correlator
nicely compares with the perturbative result, exhibiting an exponential
increase with respect to the momentum p.Comment: 21 pages, 1 figure, typeset in JHEP style; some formulas corrected in
Sect.3, one reference added, results unchange
Low-Temperature Properties of Two-Dimensional Ideal Ferromagnets
The manifestation of the spin-wave interaction in the low-temperature series
of the partition function has been investigated extensively over more than
seven decades in the case of the three-dimensional ferromagnet. Surprisingly,
the same problem regarding ferromagnets in two spatial dimensions, to the best
of our knowledge, has never been addressed in a systematic way so far. In the
present paper the low-temperature properties of two-dimensional ideal
ferromagnets are analyzed within the model-independent method of effective
Lagrangians. The low-temperature expansion of the partition function is
evaluated up to two-loop order and the general structure of this series is
discussed, including the effect of a weak external magnetic field. Our results
apply to two-dimensional ideal ferromagnets which exhibit a spontaneously
broken spin rotation symmetry O(3) O(2) and are defined on a square,
honeycomb, triangular or Kagom\'e lattice. Remarkably, the spin-wave
interaction only sets in at three-loop order. In particular, there is no
interaction term of order in the low-temperature series for the free
energy density. This is the analog of the statement that, in the case of
three-dimensional ferromagnets, there is no interaction term of order in
the free energy density. We also provide a careful discussion of the
implications of the Mermin-Wagner theorem in the present context and thereby
put our low-temperature expansions on safe grounds.Comment: 24 pages, 3 figure
Spectral Flow on the Higgs Branch and AdS/CFT Duality
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.Comment: v2; 16 pages, 3 figures, LaTeX + JHEP class, 3 refs added, accepted
for publication by JHE
Calibrated Surfaces and Supersymmetric Wilson Loops
We study the dual gravity description of supersymmetric Wilson loops whose
expectation value is unity. They are described by calibrated surfaces that end
on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect
to an almost complex structure on an eight-dimensional slice of AdS_5 x S^5.
The regularized area of these surfaces vanishes, in agreement with field theory
non-renormalization theorems for the corresponding operators.Comment: 28 pages, 2 figure
The Higgs System in and Beyond the Standard Model
After the discovery of the Higgs boson particle on the 4th of July of 2012 at
the Large Hadron Collider, sited at the european CERN laboratory, we are
entering in a fascinating period for Particle Physics where both theorists and
experimentalists are devoted to fully understand the features of this new
particle and the possible consequences for High Energy Physics of the Higgs
system both within and beyond the Standard Model of fundamental particle
interactions. This paper is a summary of the lectures given at the third IDPASC
school (Santiago de Compostela, Feb. 2013, Spain) addressed to PhD students,
and contains a short introduction to the main basic aspects of the Higgs boson
particle in and beyond the Standard Model.Comment: 62 pages, 31 figures, Lectures of the IDPASC School at Santiago de
Compostela, Spain, February 201
Fermions, Gauge Theories, and the Sinc Function Representation for Feynman Diagrams
We extend our new approach for numeric evaluation of Feynman diagrams to
integrals that include fermionic and vector propagators. In this initial
discussion we begin by deriving the Sinc function representation for the
propagators of spin-1/2 and spin-1 fields and exploring their properties. We
show that the attributes of the spin-0 propagator which allowed us to derive
the Sinc function representation for scalar field Feynman integrals are shared
by fields with non-zero spin. We then investigate the application of the Sinc
function representation to simple QED diagrams, including first order
corrections to the propagators and the vertex.Comment: 10 pages, Latex, 9 figure
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