43918847
Minimal dynamical symmetry breaking of the standard model.
We formulate the dynamical symmetry breaking of the standard model by a top-quark condensate in analogy with BCS theory. The low-energy effective Lagrangian is the usual standard model with supplemental relationships connecting masses of the top quark, {ital W} boson, and Higgs boson which now appears as a {ital {bar t}} {ital t} bound state. Precise predictions for {ital m}{sub {ital t}} and {ital m}{sub {ital H}} are obtained by abstracting the compositeness condition for the Higgs boson to boundary conditions on the renormalization-group equations for the full standard model at high energy.
122412938
Higher-order asymptotic-freedom corrections to photon-photon scattering
We generalize Witten's calculation of the photon structure function F/sub 2//sup lt. slash/ to the next-to-the-leading order of asymptotic freedom. Except for the second moment of F/sub 2//sup lt. slash/, the result is independent of the unknown matrix elements of quark and gluon operators between the photon states. The nonleading corrections turn out to be large.
51849927
Heavy-light mesons and chiral symmetry
The chiral structure of heavy-light mesons is explored with a particular focus on the nature of the D{sub sJ} charmed mesons. Theoretical predictions for the hadronic and radiative decays of these mesons are compared to recent experimental data.
118087937
Regularization of gauge field theories
120003207
Consistent and Covariant Anomalies in Gauge and Gravitational Theories
Abstract The gauge structure of anomalies and the related currents is analyzed in detail. We construct the covariant forms for both the currents and the anomalies for general gauge theories in even-dimensional space-time. The results are then extended to determine the structure of gravitational anomalies. These can always be interpreted as anomalies for local Lorentz transformations.
120216541
Anomalous Currents in Gauge Field Theories
Abstract Properties of symmetry currents are examined within the context of renormalizable gauge field theories. The existence of triangle anomalies requires that some of the symmetry currents must have well-defined gauge transformation properties. Exact low-energy theorems for certain matrix elements of the divergences of the currents are established to all orders in perturbation theory.
16861778
Distributions of Fourier modes of cosmological density fields.
We discuss the probability distributions of Fourier modes of cosmological density fields using the central limit theorem is it applies to weighted integrals of random fields. It is shown that if the cosmological principle holds in a certain sense, i.e., the Universe approaches homogeneity and isotropy sufficiently rapidly on very large scales, the one-point distribution of each Fourier mode of the density field is Gaussian whether or not the density field itself is Gaussian. Therefore, one-point distributions of the power spectrum obtained from observational data or from simulations are not a good test of whether the density field is Gaussian.
44769698
Designing density fluctuation spectra in inflation.
Scale-invariant (flat) fluctuation spectra are the most natural outcomes of inflation. Nonetheless current large-scale-structure observations seem to indicate more fluctuation power on large scales than flat spectra give. We consider a wide variety of models based on the chaotic inflation paradigm and sketch the effects that varying the expansion rate, structure of the potential surface, and the curvature coupling constants have on the quantum fluctuation spectra. We calculate in detail the quantum generation of fluctuation spectra by numerically solving the linearized perturbation equations for multiple scalar fields, the metric, and the radiation into which the scalars dissipate, following the evolution from inside the horizon through reheating.