Fermionization, Convergent Perturbation Theory, and Correlations in the Yang-Mills Quantum Field Theory in Four Dimensions

We show that the Yang-Mills quantum field theory with momentum and spacetime cutoffs in four Euclidean dimensions is equivalent, term by term in an appropriately resummed perturbation theory, to a Fermionic theory with nonlocal interaction terms. When a further momentum cutoff is imposed, this Fermionic theory has a convergent perturbation expansion. To zeroth order in this perturbation expansion, the correlation function $E(x,y)$ of generic components of pairs of connections is given by an explicit, finite-dimensional integral formula, which we conjecture will behave as $$E(x,y) \sim |x - y|^{-2 - 2 d_G},$$ \noindent for $|x-y|>>0,$ where $d_G$ is a positive integer depending on the gauge group $G.$ In the case where $G=SU(n),$ we conjecture that $$d_G = {\rm dim}SU(n) - {\rm dim}S(U(n-1) \times U(1)),$$ \noindent so that the rate of decay of correlations increases as $n \to \infty.$Comment: Minor corrections of notation, style and arithmetic errors; correction of minor gap in the proof of Proposition 1.4 (the statement of the Proposition was correct); further remark and references adde

Recommendations and Goals for Evo-Devo Research

The rapidly growing field of evolutionary-developmental biology (evo-devo) arises from the fusion of formerly disjunct scientific disciplines that traditionally generate very different scientific products. What should the scientific product of evo-devo be? I propose it should be a testable evolutionary scenario. Evolutionary scenarios have suffered eclipse and even opprobrium in recent years, but analysis of genes that control development may make evo-devo scenarios testable, hence scientifically valid. Hypothesis-based studies are more likely than descriptive studies to generate testable evolutionary scenarios. Candidate-gene studies are risky if only one or a few genes are known in the pathway that is putatively responsible for the evolutionary innovation. General questions that may be addressed by evo-devo include the nature of genetic and evolutionary constraint and, conversely, why some clades show tendencies to evolve. High levels of developmental homeostasis may result in genetic constraint on evolution. Although genetic constraint is largely hypothetical, developmental homeostasis can be measured, so the possibility of its impact on evolutionary potential can be tested. I introduce the rock band model to provide a metaphor for the genetic control of development that may allow evolution to occur. The rock band model also illustrates conditions that may lead to greatly increased stability (resembling developmental homeostasis) rendering change unlikely. This paper is Floral Genome Project Contribution number 24

Direct numerical computation of disorder parameters

In the framework of various statistical models as well as of mechanisms for color confinement, disorder parameters can be developed which are generally expressed as ratios of partition functions and whose numerical determination is usually challenging. We develop an efficient method for their computation and apply it to the study of dual superconductivity in 4d compact U(1) gauge theory.Comment: 5 pages, 6 figures. Final revised version published in PR

Quantum spacetime and the renormalization group: Progress and visions

The quest for a consistent theory which describes the quantum microstructure of spacetime seems to require some departure from the paradigms that have been followed in the construction of quantum theories for the other fundamental interactions. In this contribution we briefly review two approaches to quantum gravity, namely, asymptotically safe quantum gravity and tensor models, based on different theoretical assumptions. Nevertheless, the main goal is to find a universal continuum limit for such theories and we explain how coarse-graining techniques should be adapted to each case. Finally, we argue that although seemingly different, such approaches might be just two sides of the same coin.Comment: 14 pages, 4 figures, Proceedings of "Progress and Visions in Quantum Theory in View of Gravity: Bridging foundations of physics and mathematics", Leipzig, 201

Two new species of Pseudohalonectria from palms

Two new species, Pseudohalonectria eubenangeensis and I? palmicola, are described from palms in rainforests in north Queensland, Australia. The new species are compared with the known species in the genus, all of which occur in freshwater habitats. This is the first record of species in this genus from terrestrial habitats and from monocotyledonous hosts.published_or_final_versio

Degradation of LaMnO{3-y} surface layer in LaMnO{3-y}/ metal interface

We report electrical measurements showing the degradation processes of LaMnO$_{3-y}$ (LaMnO) in LaMnO/normal metal interface in both point contact and planar-type junctions. Immediately after the preparation of the interface, the degradation process was followed by measuring the evolution of the junction resistance versus time. This process is characterized by the appearance of a second maximum in the resistance vs. temperature (R-T) dependence at temperatures lower than the Curie temperature T$_c$, at which the metal-insulator transition occurs in the bulk. These effects are explained in terms of the formation of a depleted interface layer in LaMnO caused by an out-diffusion of oxygen from the manganite surface to the normal metal. This assumption is confirmed by XPS measurement. Similar results on LaSrMnO$_{3-y}$ interfaces are also obtained.Comment: 4 pages, 3 figures, accepted for publication in Appl. Phys. Lett.(2002

Field Measurements of Penetrator Seismic Coupling in Sediments and Volcanic Rocks

Field experiments were conducted to determine how well a seismometer installed using a penetrator would be coupled to the ground. A dry-lake bed and a lava bed were chosen as test sites to represent geological environments of two widely different material properties. At each site, two half-scale penetrators were fired into the ground, a three-component geophone assembly was mounted to the aft end of each penetrator, and dummy penetrators were at various distances to generate seismic signals. These signals were detected by the penetrator-mounted geophone assembly and by a reference geophone assembly buried or anchored to surface rock and 1-m from the penetrator. The recorded signals were digitized, and cross-spectral analyses were performed to compare the observed signals in terms of power spectral density ratio, coherence, and phase difference. The analyses indicate that seismometers deployed by penetrators will be as well coupled to the ground as are seismometers installed by conventional methods for the frequency range of interest in earthquake seismology