More on "Little Lambda" in Ho\v{r}ava-Lifshitz Gravity

We analyze different claims on the role of the coupling constant lambda in so-called lambda-R models, a minimal generalization of general relativity inspired by Horava-Lifshitz gravity. The dimensionless parameter lambda appears in the kinetic term of the Einstein-Hilbert action, leading to a one-parameter family of classical theories. Performing a canonical constraint analysis for closed spatial hypersurfaces, we obtain a result analogous to that of Bellorin and Restuccia, who showed that all non-projectable lambda-R models are equivalent to general relativity in the asymptotically flat case. However, the tertiary constraint present for closed boundary conditions assumes a more general form. We juxtapose this with an earlier finding by Giulini and Kiefer, who ruled out a range of lambda-R models by a physical, cosmological argument. We show that their analysis can be interpreted consistently within the projectable sector of Horava-Lifshitz gravity, thus resolving the apparent contradiction.Comment: 21 pages, no figure

Event-related brain potentials in the study of inhibition: cognitive control, source localization and age-related modulations

In the previous 15 years, a variety of experimental paradigms and methods have been employed to study inhibition. In the current review, we analyze studies that have used the high temporal resolution of the event-related potential (ERP) technique to identify the temporal course of inhibition to understand the various processes that contribute to inhibition. ERP studies with a focus on normal aging are specifically analyzed because they contribute to a deeper understanding of inhibition. Three time windows are proposed to organize the ERP data collected using inhibition paradigms: the 200 ms period following stimulus onset; the period between 200 and 400 ms after stimulus onset; and the period between 400 and 800 ms after stimulus onset. In the first 200 ms, ERP inhibition research has primarily focused on N1 and P1 as the ERP components associated with inhibition. The inhibitory processing in the second time window has been associated with the N2 and P3 ERP components. Finally, in the third time window, inhibition has primarily been associated with the N400 and N450 ERP components. Source localization studies are analyzed to examine the association between the inhibition processes that are indexed by the ERP components and their functional brain areas. Inhibition can be organized in a complex functional structure that is not constrained to a specific time point but, rather, extends its activity through different time windows. This review characterizes inhibition as a set of processes rather than a unitary process

Asymptotic stability at infinity for differentiable vector fields of the plane

Let X:R2\Dr->R2 be a differentiable (but not necessarily C1) vector field, where r>0 and Dr={z\in R2:|z|\le r}. If for some e>0 and for all p\in R2\Dr, no eigenvalue of D_p X belongs to (-e,0]\cup {z\in\C:\mathcal{R}(z)\ge 0}, then (a)For all p\in R2\Dr, there is a unique positive semi--trajectory of X starting at p; (b)\mathcal{I}(X), the index of X at infinity, is a well defined number of the extended real line [-\infty,\infty); (c) There exists a constant vector v\in R2 such that if \mathcal{I}(X) is less than zero (resp. greater or equal to zero), then the point at infinity \infty of the Riemann sphere R2\cup\set{\infty} is a repellor (resp. an attractor) of the vector field X+v.Comment: 16 pages, 7 figure

Evading the Few TeV Perturbative Limit in 3-3-1 Models

Some versions of the electroweak SU(3)_L\otimesU(1)_X models cannot be treated within perturbation theory at energies of few TeV. An extended version for these models is proposed which is perturbative even at TeV scale posing no threatening inconsistency for test at future colliders. The extension presented here needs the addition of three octets of vector leptons, which leave three new leptonic isotriplets in the SU(2)_L\otimesU(1)_Y subgroup. With this representation content the running of the electroweak mixing angle, $\theta_W (\mu)$, is such that $\sin^2\theta_W(\mu)$ decreases with the increase of the energy scale $\mu$, when only the light states of the Standard Model group are considered. The neutral exotic gauge boson $Z^\prime$ marks then a new symmetry frontier.Comment: 15 pages, 2 figures, minor correction

Type II Seesaw and a Gauge Model for the Bimaximal Mixing Explanation of Neutrino Puzzles

We present a gauge model for the bimaximal mixing pattern among the neutrinos that explains both the atmospheric and solar neutrino data via large angle vacuum oscillation among the three known neutrinos. The model does not include righthanded neutrinos but additional Higgs triplets which acquire naturally small vev's due to the type II seesaw mechanism. A combination of global $L_e-L_{\mu}-L_{\tau}$ and $S_3$ symmetries constrain the mass matrix for both charged leptons and neutrinos in such a way that the bimaximal pattern emerges naturally at the tree level and needed splittings among neutrinos at the one loop level. This model predicts observable branching ratios for $\tau\to \mu \mu\mu$, which could be used to test it.Comment: Latex file, 8 pages, five figures include

Quimerismo 60,xx/60,xy e freemartismo em bovinos nascidos de partos gemelares heterossexuais.

Foram estudados citogeneticamente 42 bovinos nascidos de partos gemelares heterossexuais, sendo 10 casais, 19 fêmeas e três machos de várias raças, principalmente, Holandesa (17) e Pardo Suíça (11), pertencentes ao Instituto de Zootecnia-APTA, Nova Odessa, SP, e a produtores particulares de outras regiões do Estado. A análise citogenética foi realizada em metáfases obtidas após culturas de linfócitos. Em 90,5% (38) dos animais, foi observado o quimerismo 60,XX/ 60,XY com 1,8 a 90,2% de células femininas. Considerando todos os animais quiméricos, foram analisadas 3806 células, sendo 1268 XX (33,3%) e 2538 XY (66,7%). Em nove casais, as freqüências de células femininas foram 24,8 e 21,5% e as de masculinas de 75,2 e 78,5% para fêmeas e machos, respectivamente. Em um casal, não foi evidenciada troca de células, e a fêmea apresentou somente células de linhagem feminina e o macho, de linhagem masculina. Três das fêmeas avaliadas eram adultas e foram abatidas. Seus aparelhos genitais apresentaram vários graus de masculinização como: aumento do clitóris, subdesenvolvimento da vagina, da cérvix (ausente em uma fêmea), do útero, das tubas uterinas, presença de glândulas vesiculares e gônadas ovotestis, (testículos e pênis rudimentares foram encontrados em uma fêmea). O cariótipo 60,XX foi observado em apenas três fêmeas das 29 analisadas: duas delas apresentaram todas as características de fêmea normal e inclusive pariram com aproximadamente 30 meses de idade; a outra fêmea ainda não atingiu a idade de reprodução, mas parece apresentar função reprodutiva normal. Dos 13 machos analisados, 12 apresentaram quimerismo 60,XX/60,XY e um apresentou cariótipo normal (60,XY). A análise citogenética é um meio eficaz e pouco oneroso de constatar freemartismo em fêmea bovina gêmea com macho, permitindo o diagnóstico precoce e a oportunidade de eliminação do processo reprodutivo os animais portadores de quimerismo, de maneira a baixar os custo com manejo e a diminuir a freqüência desta anomalia nos rebanhos