273 research outputs found
Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
We present a quenched lattice calculation of the lowest order (alpha^2)
hadronic contribution to the anomalous magnetic moment of the muon which arises
from the hadronic vacuum polarization. A general method is presented for
computing entirely in Euclidean space, obviating the need for the usual
dispersive treatment which relies on experimental data for e^+e^- annihilation
to hadrons. While the result is not yet of comparable accuracy to those
state-of-the-art calculations, systematic improvement of the quenched lattice
computation to this level of accuracy is straightforward and well within the
reach of present computers. Including the effects of dynamical quarks is
conceptually trivial, the computer resources required are not.Comment: 12 pages, including two figures. Added reference and footnote
Replaced with published version; minor changes asked for by referees and
minor deletions to stay within page limi
Reply to Comment on "Localization and Metal-Insulator Transition in Multilayer Quantum Hall Structures"
This is a Reply to a Comment by Tanaka and Machida. We provide some details
of the derivation of the effective field theory for integer quantum Hall
transitions using the non-Abelian chiral anomaly.Comment: 1 page, RevTex, no figure
Gauge Invariant Variational Approach with Fermions: the Schwinger Model
We extend the gauge invariant variational approach of Phys. Rev. D52 (1995)
3719, hep-th/9408081, to theories with fermions. As the simplest example we
consider the massless Schwinger model in 1+1 dimensions. We show that in this
solvable model the simple variational calculation gives exact results.Comment: 14 pages, 1 figur
A gauge invariant and string independent fermion correlator in the Schwinger model
We introduce a gauge invariant and string independent two-point fermion
correlator which is analyzed in the context of the Schwinger model (QED_2). We
also derive an effective infrared worldline action for this correlator, thus
enabling the computation of its infrared behavior. Finally, we briefly discuss
possible perspectives for the string independent correlator in the QED_3
effective models for the normal state of HTc superconductors.Comment: 14 pages, LaTe
Thirring Model with Non-conserved Chiral Charge
We study the Abelian Thirring Model when the fermionic fields have
non-conserved chiral charge: . One of the main features
we find for this model is the dependence of the Virasoro central charge on both
the Thirring coupling constant and . We show how to evaluate correlation
functions and in particular we compute the conformal dimensions for fermions
and fermionic bilinears, which depend on the fermionic chiral charge. Finally
we build primary fields with arbitrary conformal weight.Comment: pages 1
Spinons and parafermions in fermion cosets
We introduce a set of gauge invariant fermion fields in fermionic coset
models and show that they play a very central role in the description of
several Conformal Field Theories (CFT's). In particular we discuss the explicit
realization of primaries and their OPE in unitary minimal models, parafermion
fields in CFT's and that of spinon fields in
Wess-Zumino-Witten models (WZW) theories. The higher level case () will be
briefly discussed. Possible applications to QHE systems and spin-ladder systems
are addressed.Comment: 6 pages, Latex file. Invited talk at International Seminar dedicated
to the memory of D.V.Volkov, Kharkov, January 5-7, 199
Bosonization in d=2 from finite chiral determinants with a Gauss decomposition
We show how to bosonize two-dimensional non-abelian models using finite
chiral determinants calculated from a Gauss decomposition. The calculation is
quite straightforward and hardly more involved than for the abelian case. In
particular, the counterterm , which is normally motivated from gauge
invariance and then added by hand, appears naturally in this approach.Comment: 4 pages, Revte
Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations
We generalize classical Yang-Mills theory by extending nonlinear constitutive
equations for Maxwell fields to non-Abelian gauge groups. Such theories may or
may not be Lagrangian. We obtain conditions on the constitutive equations
specifying the Lagrangian case, of which recently-discussed non-Abelian
Born-Infeld theories are particular examples. Some models in our class possess
nontrivial Galilean (c goes to infinity) limits; we determine when such limits
exist, and obtain them explicitly.Comment: Submitted to the Proceedings of the 3rd Symposium on Quantum Theory
and Symmetries (QTS3) 10-14 September 2003. Preprint 9 pages including
reference
Crossing Symmetry Violation of Unitarized Pion-Pion Amplitude in the Resonance Region
Pion-pion scattering amplitude obtained from one-loop Chiral Perturbation
Theory (ChPT) is crossing symmetric, however the corresponding partial wave
amplitudes do not respect exact unitarity relation. There are different
approaches to get unitarized partial wave amplitudes from ChPT. Here we
consider the inverse amplitude method (IAM) that is often used to fit pion-pion
phase shifts to experimental data, by adjusting free parameters. We measure the
amount of crossing symmetry violation (CSV) in this case and we show that
crossing symmetry is badly violated by the IAM unitarized ChPT amplitude in the
resonance region. Important CSV also occurs when all free parameters are set
equal to zero.Comment: 6 pages, 4 figure
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