5,668 research outputs found
Stochastic field theory for a Dirac particle propagating in gauge field disorder
Recent theoretical and numerical developments show analogies between quantum
chromodynamics (QCD) and disordered systems in condensed matter physics. We
study the spectral fluctuations of a Dirac particle propagating in a finite
four dimensional box in the presence of gauge fields. We construct a model
which combines Efetov's approach to disordered systems with the principles of
chiral symmetry and QCD. To this end, the gauge fields are replaced with a
stochastic white noise potential, the gauge field disorder. Effective
supersymmetric non-linear sigma-models are obtained. Spontaneous breaking of
supersymmetry is found. We rigorously derive the equivalent of the Thouless
energy in QCD. Connections to other low-energy effective theories, in
particular the Nambu-Jona-Lasinio model and chiral perturbation theory, are
found.Comment: 4 pages, 1 figur
Superpartner Solutions of a BPS Monopole in Noncommutative Space
We construct U(2) BPS monopole superpartner solutions in N=2 non-commutative
super Yang-Mills theory. Calculation to the second order in the noncommutative
parameter shows that there is no electric quadrupole moment that is
expected from the magnetic dipole structure of noncommtative U(2) monopole.
This might give an example of the nature of how supersymmetry works not
changing between the commutative and noncommutative theories.Comment: 8 page
The massless gravitino and the AdS/CFT correspondence
We solve the Dirichlet boundary value problem for the massless gravitino on
space and compute the two-point function of the dual CFT
supersymmetry currents using the /CFT correspondence principle. We find
analogously to the spinor case that the boundary data for the massless
dimensional bulk gravitino field consists of only a dimensional
gravitino.Comment: 10 pages, RevTe
Calorons and localization of quark eigenvectors in lattice QCD
We analyze the localization properties for eigenvectors of the Dirac operator
in quenched lattice QCD in the vicinity of the deconfinement phase transition.
Studying the characteristic differences between the Z_3 sectors above the
critical temperature T_c, we find indications for the presence of calorons.Comment: 4 pages, 4 figure
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Higher Spins in AdS and Twistorial Holography
In this paper we simplify and extend previous work on three-point functions
in Vasiliev's higher spin gauge theory in AdS4. We work in a gauge in which the
space-time dependence of Vasiliev's master fields is gauged away completely,
leaving only the internal twistor-like variables. The correlation functions of
boundary operators can be easily computed in this gauge. We find complete
agreement of the tree level three point functions of higher spin currents in
Vasiliev's theory with the conjectured dual free O(N) vector theory.Comment: 23 pages. v3: minor errors fixed, added comments and reference
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