Calculation of Second Topological Moment <m^2> of Two Entangled Polymers

We set up a Chern-Simons theory for the entanglement of two polymers P_1 and P_2, and calculate the second topological moment , where m is the linking number. The result applies approximately to a polymer in an ensemble of many others, if these are considered as a single very long effective polymer.Comment: Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/30

Totem: a case study in HEP

It is being proved that the neurochip \Totem{} is a viable solution for high quality and real time computational tasks in HEP, including event classification, triggering and signal processing. The architecture of the chip is based on a "derivative free" algorithm called Reactive Tabu Search (RTS), highly performing even for low precision weights. ISA, VME or PCI boards integrate the chip as a coprocessor in a host computer. This paper presents: 1) the state of the art and the next evolution of the design of \Totem{}; 2) its ability in the Higgs search at LHC as an example.Comment: Latex, elsart.sty, 5 pages, talk presented by I.Lazzizzera at CHEP97 (Berlin, April 1997

Founding a mathematical diffusion model in linguistics. The case study of German syntactic features in the North-Eastern Italian dialects

We take as a case study the spread of Germanic syntactic features into Romance dialects of North-Eastern Italy, which occurred after the immigration of German people in the Tyrol during the High Middle Ages. An interactive map is produced using tools of what is called Geographic Data Science. A smooth two-dimensional surface $\mathcal{G}$ expresses locally which fraction of territory uses a given German language feature: it is obtained by interpolating a discrete function that says if at any surveyed locality that feature is used or not.\newline This surface $\mathcal{G}$ is thought of as the value at the present time of a function describing a diffusion-convection phenomenon in two dimensions (here said \emph{tidal} mode), which is subjected in a very natural way to the same equation, suitably contextualized, used in physics for a number of phenomenological facts like the heat diffusion. It is shown that solutions of this equation, evaluated at the present time, fit well with the data as interpolated by $\mathcal{G}$, thus providing convincing pictures of diffusion-convection of the linguistic features of the case study, albeit simplifications and approximations.\newline Very importantly, it is shown that Schmidt's 'waves' can be counted among the solutions of the diffusion equation: superimposing Schmidt 'waves' to a 'tidal flooding' can reproduce complexities of real linguistic diffusion events

Searching the Higgs with the Neurochip TOTEM

We show that neural network classifiers can be helpful in discriminating Higgs production events from the huge background at LHC, assuming the case of a mass value $M_H \sim 200$ GeV. We use the high performance neurochip TOTEM, trained by the Reactive Tabu Search algorithm (RTS), which could be used for on-line purposes. Two different sets of input variables are compared.Comment: 4 pages,1 figure, requres espcrc2.sty and epsfig.sty. Work prsented in The 5th Topical Seminar on ``The irresistible rise of the Standard Model'', San Miniato, Tuscany, Italy, April 21-25 199

Canonical Quantisation in n.A=0 gauges

We give a unified derivation of the propagator in the gauges $n.A=0$ for $n^2$ timelike, spacelike or lightlike. We discuss the physical states and other physical questions.Comment: 7 pages, DAMTP 93-33, ITP-SB-93-3

Dirac Quantization of the Chern-Simons Field Theory in the Coulomb Gauge

In this letter the Chern-Simons field theories are studied in the Coulomb gauge using the Dirac's canonical formalism for constrained systems. As a strategy, we first work out the constraints and then quantize, replacing the Dirac brackets with quantum commutators. We find that the Chern-Simons field theories become two dimensional models with no propagation along the time direction. Moreover, we prove that, despite of the presence of non-trivial self-interactions in the gauge fixed functional, the commutation relations between the fields are trivial at any order in perturbation theory in the absence of couplings with matter fields. If these couplings are present, instead, the commutation relations become rather involved, but it is still possible to study their main properties and to show that they vanish at the tree level.Comment: 15 pages, Latex+RevTex, no figure

Search for Second-Generation Scalar Leptoquarks in ppˉ\bm{p \bar{p}} Collisions at s\sqrt{s}=1.96 TeV

Results on a search for pair production of second generation scalar leptoquark in $p \bar{p}$ collisions at $\sqrt{s}$=1.96 TeV are reported. The data analyzed were collected by the CDF detector during the 2002-2003 Tevatron Run II and correspond to an integrated luminosity of 198 pb$^{-1}$. Leptoquarks (LQ) are sought through their decay into (charged) leptons and quarks, with final state signatures represented by two muons and jets and one muon, large transverse missing energy and jets. We observe no evidence for $LQ$ production and derive 95% C.L. upper limits on the $LQ$ production cross sections as well as lower limits on their mass as a function of $\beta$, where $\beta$ is the branching fraction for $LQ \to \mu q$.Comment: 9 pages (3 author list) 5 figure

Measurement of the ttbar Production Cross Section in ppbar Collisions at sqrt(s) = 1.96 TeV

We present a measurement of the top quark pair production cross section in ppbar collisions at sqrt(s)=1.96 TeV using 318 pb^{-1} of data collected with the Collider Detector at Fermilab. We select ttbar decays into the final states e nu + jets and mu nu + jets, in which at least one b quark from the t-quark decays is identified using a secondary vertex-finding algorithm. Assuming a top quark mass of 178 GeV/c^2, we measure a cross section of 8.7 +-0.9 (stat) +1.1-0.9 (syst) pb. We also report the first observation of ttbar with significance greater than 5 sigma in the subsample in which both b quarks are identified, corresponding to a cross section of 10.1 +1.6-1.4(stat)+2.0-1.3 (syst) pb.Comment: Accepted for publication in Physics Review Letters, 7 page