1,105 research outputs found
On the Anomalies and Schwinger Terms in Noncommutative Gauge Theories
Invariant (nonplanar) anomaly of noncommutative QED is reexamined. It is
found that just as in ordinary gauge theory UV regularization is needed to
discover anomalies, in noncommutative case, in addition, an IR regularization
is also required to exhibit existence of invariant anomaly. Thus resolving the
controversy in the value of invariant anomaly, an expression for the
unintergrated anomaly is found. Schwinger terms of the current algebra of the
theory are derived.Comment: LaTeX, axodraw.sty, 1 figure; v2: Typos corrected, References added,
Version to appear in Int. J. Mod. Phys. A (2006
A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
We obtain two extremal, spherically symmetric, non-BPS black hole solutions
to 4D supergravity, one of which carries D2-D6 charges and the other carries
D0-D2-D4 charges. For the D2-D6 case, rather than solving the equations of
motion directly, we assume the form of the solution and then find that the
assumption satisfies the equations of motion and the constraint. Our D2-D6
solution is manifestly dual to the solution presented in 0710.4967. The
D0-D2-D4 solution is obtained by performing certain
duality transformations on the D0-D4 solution in 0710.4967.Comment: 20 pages, LaTe
p-p' System with B-field, Branes at Angles and Noncommutative Geometry
We study the generic system in the presence of constant NS
2-form field. We derive properties concerning with the
noncommutativity of D-brane worldvolume, the Green functions and the spectrum
of this system. In the zero slope limit, a large number of light states appear
as the lowest excitations in appropriate cases. We are able to relate the
energies of the lowest states after the GSO projection with the configurations
of branes at angles. Through analytic continuation, the system is compared with
the branes with relative motion.Comment: 21 pages, Latex. References regarding to section 3 and 4 added. Typos
correcte
On R**2 Corrections for 5D Black Holes
We study higher order corrections to extremal black holes/black string in
five dimensions. These higher order corrections are due to supersymmetric
completion of R**2 term in five dimensions. By making use of the results we
extend the notion of very special geometry when higher derivative terms are
also taken into account. This can be used to make a connection between total
bundle space of near horizon wrapped M2's and wrapped M5's in the presence of
higher order corrections. We also show how the corrected geometry removes the
singularity of a small black hole.Comment: 16 pages, latex file, V3: typos corrected, refs added, V4; minor
corrections, few comments added, refs adde
Microstructure and damage evolution during thermal cycling of Sn-Ag-Cu solders containing antimony
Antimony is attracting interest as an addition to Pb-free solders to improve thermal cycling performance in harsher conditions. Here, we investigate microstructure evolution and failure in harsh accelerated thermal cycling (ATC) of a Sn-3.8Ag-0.9Cu solder with 5.5 wt.% antimony as the major addition in two ball grid array (BGA) packages. SbSn particles are shown to precipitate on both Cu6Sn5 and as cuboids in β-Sn, with reproducible orientation relationships and a good lattice match. Similar to Sn-Ag-Cu solders, the microstructure and damage evolution were generally localised in the β-Sn near the component side where localised β-Sn misorientations and subgrains, accelerated SbSn and Ag3Sn particle coarsening, and β-Sn recrystallisation occurred. Cracks grew along the network of recrystallised grain boundaries to failure. The improved ATC performance is mostly attributed to SbSn solid-state precipitation within β-Sn dendrites, which supplements the Ag3Sn that formed in a eutectic reaction between β-Sn dendrites, providing populations of strengthening particles in both the dendritic and eutectic β-Sn
Non-Commutative GUTs, Standard Model and C,P,T
Noncommutative Yang-Mills theories are sensitive to the choice of the
representation that enters in the gauge kinetic term. We constrain this
ambiguity by considering grand unified theories. We find that at first order in
the noncommutativity parameter \theta, SU(5) is not truly a unified theory,
while SO(10) has a unique noncommutative generalization. In view of these
results we discuss the noncommutative SM theory that is compatible with SO(10)
GUT and find that there are no modifications to the SM gauge kinetic term at
lowest order in \theta.
We study in detail the reality, hermiticity and C,P,T properties of the
Seiberg-Witten map and of the resulting effective actions expanded in ordinary
fields. We find that in models of GUTs (or compatible with GUTs) right-handed
fermions and left-handed ones appear with opposite Seiberg-Witten map.Comment: 28 pages. Added references and comments in the introductio
Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
We apply the entropy function formalism to non-extremal D1D5 and
D2D6NS5-branes whose throat approximation is given by the Schwarzschild black
hole in AdS_3\times S^3\times T^4 and AdS_3\times S^2\times S^1\times T^4,
respectively. We find the Bekenstein-Hawking entropy and the (alpha')^3R^4
corrections from the value of the entropy function at its saddle point. While
the higher derivative terms have no effect on the temperature, they decrease
the value of the entropy.Comment: 17 Pages, Latex file; Minor additions, version published in JHE
Towards Noncommutative Fuzzy QED
We study in one-loop perturbation theory noncommutative fuzzy quenched QED_4.
We write down the effective action on fuzzy S**2 x S**2 and show the existence
of a gauge-invariant UV-IR mixing in the model in the large N planar limit. We
also give a derivation of the beta function and comment on the limit of large
mass of the normal scalar fields. We also discuss topology change in this 4
fuzzy dimensions arising from the interaction of fields (matrices) with
spacetime through its noncommutativity.Comment: 33 page
T-duality and closed string non-commutative (doubled) geometry
We provide some evidence that closed string coordinates will become
non-commutative turning on H-field flux background in closed string
compactifications. This is in analogy to open string non-commutativity on the
world volume of D-branes with B- and F-field background. The class of
3-dimensional backgrounds we are studying are twisted tori (fibrations of a
2-torus over a circle) and the their T-dual H-field, 3-form flux backgrounds
(T-folds). The spatial non-commutativity arises due to the non-trivial
monodromies of the toroidal Kahler resp. complex structure moduli fields, when
going around the closed string along the circle direction. In addition we study
closed string non-commutativity in the context of doubled geometry, where we
argue that in general a non-commutative closed string background is T-dual to a
commutative closed string background and vice versa. Finally, in analogy to
open string boundary conditions, we also argue that closed string momentum and
winding modes define in some sense D-branes in closed string doubled geometry.Comment: 31 pages, references added, extended version contains new sections
3.3., 3.4 and
Minimal Scales from an Extended Hilbert Space
We consider an extension of the conventional quantum Heisenberg algebra,
assuming that coordinates as well as momenta fulfil nontrivial commutation
relations. As a consequence, a minimal length and a minimal mass scale are
implemented. Our commutators do not depend on positions and momenta and we
provide an extension of the coordinate coherent state approach to
Noncommutative Geometry. We explore, as toy model, the corresponding quantum
field theory in a (2+1)-dimensional spacetime. Then we investigate the more
realistic case of a (3+1)-dimensional spacetime, foliated into noncommutative
planes. As a result, we obtain propagators, which are finite in the ultraviolet
as well as the infrared regime.Comment: 16 pages, version which matches that published on CQ
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