Bulletin of the American Physical Society
2005 72nd Annual Meeting of the Southeastern Section of the APS
Thursday–Saturday, November 10–12, 2005; Gainesville, FL
Session DD: Particle Theory |
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Chair: Pierre Ramond, University of Florida Room: Hilton Hickory |
Thursday, November 10, 2005 2:00PM - 2:12PM |
DD.00001: A Proposed Physical Structure for Supersymmetry, Mass, and Fields Terrence S. McGrath An atomic model has been formulated which illustrates how electromagnetic waves generated locally from the atom's nucleus can generate a supersymmetric four-dimension quantized metric. The coherence of electromagnetic wave sets generated from within the nucleus ultimately generates four-wave intersections important to defining fundamental characteristics of the quantum metric and providing tools for deterministic modeling of supersymmetry, mass, and field generation. The model describes a novel 6-choose-4 permutational metric structure that generates five light-cone structures. The self-referencing alignment of the light-cones within the atom provides regularization for the formation of mass-particle fields, lattice spacing, and moments that converge at the nucleus. The model proposes a discrete physical structure for mass and matches the measured electron:proton mass ratio to 2.9786E-08. http://www.elemetric.com/ [Preview Abstract] |
Thursday, November 10, 2005 2:12PM - 2:24PM |
DD.00002: Bi-orthogonal quantum systems Thomas Curtright, Luca Mezincescu, Andrej Perez-Veitia, David Schuster Models of PT symmetric quantum mechanics provide examples of bi-orthogonal quantum systems. The latter incorporporate all the structure of PT symmetric models, and allow for generalizations, especially in situations where the PT construction of the dual space fails. This happens for periodic solutions that occur at spectral singularities. For these periodic solutions, the dual functions are associated polynomials that obey inhomogeneous equations. The formalism is illustrated by a few exact results for some elementary potential models. In some non-trivial cases, equivalent hermitian theories are obtained and shown to be very simple: They are just free (chiral) particles. Field theory extensions are briefly considered. Supersymmetric bi-orthogonal systems are also discussed. [Preview Abstract] |
Thursday, November 10, 2005 2:24PM - 2:36PM |
DD.00003: A Gaussian Normalization as an Alternative to Renormalization Julie Talbot Although renormalization is the standard method for solving all renormalization problems, it is not accepted by all physicists, and even Feynman referred to it as ``sweeping the infinities under the rug.'' As an alternative to renormalization, instead of using cut-off masses and renormalized charges, this calculation attempts to solve for the vertex correction term by modifying the usual Yang-Lee vector boson propagator by a normalization term of Gaussian form. Unlike renormalization, this technique is non-perturbative, and corresponds to a non-localized point of interaction. While this normalization term is not unique, it does show that it is possible to calculate the vertex correction without relying upon regularization or renormalization. [Preview Abstract] |
Thursday, November 10, 2005 2:36PM - 2:48PM |
DD.00004: The minimal U(1)' extension of the MSSM Durmush Demir, Gordon Kane, Ting Wang Motivated by the apparent need for extending the MSSM and perhaps mitigating naturalness problems associated with the $\mu$ parameter and fine-tuning of the soft masses, we augment the MSSM spectrum by a SM gauge singlet chiral superfield, and enlarge the gauge structure by an additional U(1)' invariance, so that the gauge and Higgs sectors are relatively secluded. One crucial aspect of U(1)' models is the existence of anomalies, cancellation of which may require the inclusion of exotic matter which in turn disrupts the unification of the gauge couplings. In this work we pursue the question of canceling the anomalies with a minimal matter spectrum and no exotics. This can indeed be realized provided that U(1)' charges are family-dependent and the soft-breaking sector includes non-holomorphic operators for generating the fermion masses. We provide the most general solutions for U(1)' charges by taking into account all constraints from gauge invariance and anomaly cancellation. We analyze various laboratory and astrophysical bounds ranging from fermion masses to relic density, for an illustrative set of parameters. The U(1)' charges admit patterns of values for which family nonuniversality resides solely in the lepton sector, though this does not generate leptonic FCNCs due to the U(1)' gauge invariance. [Preview Abstract] |
Thursday, November 10, 2005 2:48PM - 3:00PM |
DD.00005: The Bino-Wino Co-Annihilation Scenario Azar Mustafayev, Howard Baer, Eun-Kyung Park, Stefano Profumo, Xerxes Tata In supersymmetric models with non-universal gaugino masses, it is possible to have opposite-sign $SU(2)$ and $U(1)$ gaugino mass terms. In these models, the gaugino eigenstates suffer little mixing, and can only be brought into accord with the WMAP measured relic density when bino-wino co-annihilation acts to enhance the dark matter annihilation rate. We map out parameter space regions and mass spectra which are characteristic of the bino-wino co-annihilation scenario. Direct and indirect dark matter detection rates are shown to be typically very low. However, in these scenarios, the second lightest neutralino has an enhanced loop decay branching fraction to photons that will lead to unique collider signatures. [Preview Abstract] |
Thursday, November 10, 2005 3:00PM - 3:12PM |
DD.00006: Non-linear Realization of PSU(2,2$|$4) on the Light-Cone Sung-Soo Kim, Sudarshan Ananth, Pierre Ramond, Lars Brink The symmetries of the N=4 SuperYang-Mills theory on the light-cone are discussed, solely in terms of its physical degrees of freedom. We derive explicit expressions for the generators of the PSU(2,2$|$4) superalgebra, both in the free theory, and to all orders in the gauge coupling of the classical theory. We use these symmetries to construct its Hamiltonian, and show that it can be written as a quadratic form of a fermionic superfield. [Preview Abstract] |
Thursday, November 10, 2005 3:12PM - 3:24PM |
DD.00007: Fermion Self-Energy during Inflation Shun-Pei Miao I report on a computation of the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. Dimensional regularization was employed and a fully renormalized result was obtained by absorbing all divergences into BPHZ counterterms. The physical motivation for this work is to check for graviton analogues of the enhanced quantum effects seen in this background for interactions which invlove one or more undifferentiated, massless, minimally coupled scalars. Because gravitons possess the same crucial property of masslessness without classical conformal invariance, they should also show strong quantum effects during inflation, albeit weakened by the derivative coupling. [Preview Abstract] |
Thursday, November 10, 2005 3:24PM - 3:36PM |
DD.00008: Charged Scalar Self-Mass during Inflation Emre Kahya I present a computation of the one loop self-mass of a charged, massless and minimally coupled scalar in a locally de Sitter background. This model is of great physical interest because a previous computation of the one loop vacuum polarization shows that super-horizon photons behave, in some ways, as though they had nonzero mass. The present computation was made to determine if the scalar acquires a large enough mass quickly enough to quench the inflationary particle production which is responsible for the vacuum polarization. The computation was made in two different gauges: a simple one which takes account of the photon's conformal invariance in four dimensions and the de Sitter invariant gauge of Allen and Jacobson. In each case dimensional regularization was used and fully renormalized results were obtained. By simply ignoring some terms I also obtain the self-mass of a conformally coupled scalar. [Preview Abstract] |
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