1,548 research outputs found

    A gauge theory of quantum mechanics

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    An Abelian gerbe is constructed over classical phase space. The 2-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Poincare-Cartan form. The U(1) gauge group on the gerbe has a natural interpretation as the invariance group of the Schroedinger equation on phase space.Comment:

    A Classical Bound on Quantum Entropy

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    A classical upper bound for quantum entropy is identified and illustrated, 0Sqln(eσ2/2)0\leq S_q \leq \ln (e \sigma^2 / 2\hbar), involving the variance σ2\sigma^2 in phase space of the classical limit distribution of a given system. A fortiori, this further bounds the corresponding information-theoretical generalizations of the quantum entropy proposed by Renyi.Comment: Latex2e, 7 pages, publication versio

    The Cretaceous-Tertiary boundary marine extinction and global primary productivity collapse

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    The extinction of marine phyto-and zoo-plankton across the K-T boundary has been well documented. Such an event may have resulted in decreased photosynthetic fixation of carbon in surface waters and a collapse of the food chain in the marine biosphere. Because the vertical and horizontal distribution of the carbon isotopic composition of total dissolved carton (TDC) in the modern ocean is controlled by the transfer of organic carbon from the surface to deep reservoirs, it follows that a major disruption of the marine biosphere would have had a major effect on the distribution of carbon isotopes in the ocean. Negative carbon isotope excursions have been identified at many marine K-T boundary sequences worldwide and are interpreted as a signal of decreased oceanic primary productivity. However, the magnitude, duration and consequences of this productivity crisis have been poorly constrained. On the basis of planktonic and benthic calcareous microfossil carbon isotope and other geochemical data from DSDP Site 577 located on the Shatsky Rise in the north-central Pacific, as well as other sites, researchers have been able to provide a reasonable estimate of the duration and magnitude of this event

    RG flows, cycles, and c-theorem folklore

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    Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple examples, that this is not necessarily true. Simultaneous monotonic and cyclic flows can be compatible if the flow-function is multi-valued in the couplings.Comment: 3 pages, 5 figure

    Noncommutative Geometry Framework and The Feynman's Proof of Maxwell Equations

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    The main focus of the present work is to study the Feynman's proof of the Maxwell equations using the NC geometry framework. To accomplish this task, we consider two kinds of noncommutativity formulations going along the same lines as Feynman's approach. This allows us to go beyond the standard case and discover non-trivial results. In fact, while the first formulation gives rise to the static Maxwell equations, the second formulation is based on the following assumption m[xj,xk˙]=iδjk+imθjkf.m[x_{j},\dot{x_{k}}]=i\hbar \delta_{jk}+im\theta_{jk}f. The results extracted from the second formulation are more significant since they are associated to a non trivial θ\theta -extension of the Bianchi-set of Maxwell equations. We find divθB=ηθdiv_{\theta}B=\eta_{\theta} and Bst+ϵkjsEjxk=A1d2fdt2+A2dfdt+A3,\frac{\partial B_{s}}{\partial t}+\epsilon_{kjs}\frac{\partial E_{j}}{\partial x_{k}}=A_{1}\frac{d^{2}f}{dt^{2}}+A_{2}\frac{df}{dt}+A_{3}, where ηθ\eta_{\theta}, A1A_{1}, A2A_{2} and A3A_{3} are local functions depending on the NC θ\theta -parameter. The novelty of this proof in the NC space is revealed notably at the level of the corrections brought to the previous Maxwell equations. These corrections correspond essentially to the possibility of existence of magnetic charges sources that we can associate to the magnetic monopole since divθB=ηθdiv_{\theta}B=\eta_{\theta} is not vanishing in general.Comment: LaTeX file, 16 page

    Chk1 requirement for high global rates of replication fork progression during normal vertebrate S phase

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    Chk1 protein kinase maintains replication fork stability in metazoan cells in response to DNA damage and DNA replication inhibitors. Here, we have employed DNA fiber labeling to quantify, for the first time, the extent to which Chk1 maintains global replication fork rates during normal vertebrate S phase. We report that replication fork rates in Chk1¿/¿ chicken DT40 cells are on average half of those observed with wild-type cells. Similar results were observed if Chk1 was inhibited or depleted in wild-type DT40 cells or HeLa cells by incubation with Chk1 inhibitor or small interfering RNA. In addition, reduced rates of fork extension were observed with permeabilized Chk1¿/¿ cells in vitro. The requirement for Chk1 for high fork rates during normal S phase was not to suppress promiscuous homologous recombination at replication forks, because inhibition of Chk1 similarly slowed fork progression in XRCC3¿/¿ DT40 cells. Rather, we observed an increased number of replication fibers in Chk1¿/¿ cells in which the nascent strand is single-stranded, supporting the idea that slow global fork rates in unperturbed Chk1¿/¿ cells are associated with the accumulation of aberrant replication fork structure

    Dirac brackets from magnetic backgrounds

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    In symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in generalised complex geometry, such magnetic terms in the symplectic form arise naturally by means of B-transformations. Here we prove that, regarding classical phase space as a generalised complex manifold, the transformation law for the symplectic form under the action of a weak magnetic field gives rise to Dirac's prescription for Poisson brackets in the presence of constraints.Comment: 9 page
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