T-Parity Violation by Anomalies

Little Higgs theories often rely on an internal parity ("T-parity'') to suppress non-standard electroweak effects or to provide a dark matter candidate. We show that such a symmetry is generally broken by anomalies, as described by the Wess-Zumino-Witten term. We study a simple SU(3) x SU(3)/SU(3) Little Higgs scheme where we obtain a minimal form for the topological interactions of a single Higgs field. The results apply to more general models, including [SU(3) x SU(3)/SU(3)]^4, SU(5)/SO(5), and SU(6)/Sp(6).Comment: 17 page

Is the Higgs Boson Associated with Coleman-Weinberg Dynamical Symmetry Breaking?

The Higgs mechanism may be a quantum phenomenon, i.e., a Coleman-Weinberg potential generated by the explicit breaking of scale symmetry in Feynman loops. We review the relationship of scale symmetry, trace anomalies, and emphasize the role of the renormalization group in determining Coleman- Weinberg potentials. We propose a simple phenomenological model with "maximal visibility" at the LHC containing a "dormant" Higgs doublet (no VEV, coupled to standard model gauge interactions $SU(2)\times U(1)$) with a mass of $\sim 380$ GeV. We discuss the LHC phenomenology and UV challenges of such a model. We also give a schematic model in which new heavy fermions, with masses $\sim 230$ GeV, can drive a Coleman-Weinberg potential at two-loops. The role of the "improved stress tensor" is emphasized, and we propose a non-gravitational term, analogous to the $\theta$-term in QCD, which generates it from a scalar action.Comment: 19 pages, 7 figures; v2 adds references and fixes typographical error

Steps in the Right Direction: Assessing Ohio Achievement Everywhere -- the Kasich Plan

Ohio Governor Kasich issued his "Achievement Everywhere" plan in early February, and as details came out over the following weeks we again asked Professor Hill if he would provide a review of the governor's plan. Professor Hill took on the challenge and here the Thomas B. Fordham Institute proudly presents "Steps in the Right Direction: Assessing "Ohio Achievement Everywhere" -- the Kasich Plan", which should interest lawmakers, policy makers, journalists, and others concerned about the education of Ohio's children. As the title notes, Professor Hill observes that Governor Kasich's reform plan will advance Ohio and it schools, but it could be better and bolder. Or, as Professor Hill concludes, "Governor Kasich's Achievement Everywhere moves Ohio in the right direction, but it needs to go further if the ultimate goal is a world-class education for all students.

Z -> b\bar{b} Versus Dynamical Electroweak Symmetry Breaking involving the Top Quark

In models of dynamical electroweak symmetry breaking which sensitively involve the third generation, such as top quark condensation, the effects of the new dynamics can show up experimentally in Z->b\bar{b}. We compare the sensitivity of Z->b\bar{b} and top quark production at the Tevatron to models of the new physics. Z->b\bar{b} is a relatively more sensitive probe to new strongly coupled U(1) gauge bosons, while it is generally less sensitive a probe to new physics involving color octet gauge bosons as is top quark production itself. Nonetheless, to accomodate a significant excess in Z->b\bar{b} requires choosing model parameters that may be ruled out within run I(b) at the Tevatron.Comment: LaTex file, 19 pages + 2 Figs., Fermilab-Pub-94/231-

Conjecture on the Physical Implications of the Scale Anomaly

Murray Gell-Mann, after co-inventing QCD, recognized the interplay of the scale anomaly, the renormalization group, and the origin of the strong scale, Lambda_{QCD}. I tell a story, then elaborate this concept, and for the sake of discussion, propose a conjecture that the physical world is scale invariant in the classical, \hbar -> 0, limit. This principle has implications for the dimensionality of space-time, the cosmological constant, the weak scale, and Planck scale.Comment: Invited talk delivered at the Santa Fe Institute on the Occasion of the Celebration of the 75th Birthday of Murray Gell-Mann. July 23, 200

Thermionic cathode evaluation study Interim report, 1 Jan. - 31 Mar. 1969

Diodes using thermionic cathodes and powdered nickel for cathode coatin