Supersymmetric SO(N) from a Planck-scale statistical theory

Several refinements are made in a theory which starts with a Planck-scale statistical picture and ends with supersymmetry and a coupling of fundamental fermions and bosons to SO(N) gauge fields. In particular, more satisfactory treatments are given for (1) the transformation from the initial Euclidean form of the path integral for fermionic fields to the usual Lorentzian form, (2) the corresponding transformation for bosonic fields (which is much less straightforward), (3) the transformation from an initial primitive supersymmetry to the final standard form (containing, e.g., scalar sfermions and their auxiliary fields), (4) the initial statistical picture, and (5) the transformation to an action which is invariant under general coordinate transformations.Comment: 12 pages, proceedings of Beyond the Standard Models 2010 (Capetown, South Africa, February 2010); one point correcte

A statistical superfield and its observable consequences

A new kind of fundamental superfield is proposed, with an Ising-like Euclidean action. Near the Planck energy it undergoes its first stage of symmetry-breaking, and the ordered phase is assumed to support specific kinds of topological defects. This picture leads to a low-energy Lagrangian which is similar to that of standard physics, but there are interesting and observable differences. For example, the cosmological constant vanishes, fermions have an extra coupling to gravity, the gravitational interaction of W-bosons is modified, and Higgs bosons have an unconventional equation of motion.Comment: 35 pages, LaTe

Dark Matter, Quantum Gravity, Vacuum Energy, and Lorentz Invariance

We discuss the problems of dark matter, quantum gravity, and vacuum energy within the context of a theory for which Lorentz invariance is not postulated, but instead emerges as a natural consequence in the physical regimes where it has been tested.Comment: 5 pages; to be published in the proceedings of the Second Meeting on CPT and Lorentz Symmetry, edited by V. A. Kostelecky (World Scientific, Singapore, 2002

Coupling of electrons to the electromagnetic field in a localized basis

A simple formula is obtained for coupling electrons in a complex system to the electromagnetic field. It includes the effect of intra-atomic excitations and nuclear motion, and can be applied in. e.g., first-principles-based simulations of the coupled dynamics of electrons and nuclei in materials and molecules responding to ultrashort laser pulses. Some additional aspects of nonadiabatic dynamical simulations are also discussed, including the potential of "reduced Ehrenfest'" simulations for treating problems where standard Ehrenfest simulations will fail.Comment: 6 pages, Physical Review

Particles and propagators in Lorentz-violating supergravity

We obtain the propagators for spin 1/2 fermions and sfermions in Lorentz-violating supergravity.Comment: 6 pages, to be published in Proceedings of the Third Meeting on CPT and Lorentz Symmetry, edited by V. A. Kostelecky (World Scientific

The Higgs as a Supersymmetric Partner, with a New Interpretation of Yukawa Couplings

An unconventional version of supersymmetry leads to the following highly testable predictions: (1) The Higgs boson has an R-parity of -1, so it can only be produced as one member of a pair of superpartners. (2) The only superpartners are scalar bosons, so neutralinos etc. do not exist. (3) The most likely candidate for cold dark matter is therefore a sneutrino. (4) The Higgs and other bosonic superpartners have an unconventional equation of motion. These predictions are associated with new interpretations of Yukawa couplings, supersymmetry, gauge fields, and Lorentz invariance.Comment: 4 pages, proceedings of DPF2000 Meeting of APS Division of Particles and Fields (August, 2000, Ohio State University