Infinite reduction of couplings in non-renormalizable quantum field theory

I study the problem of renormalizing a non-renormalizable theory with a reduced, eventually finite, set of independent couplings. The idea is to look for special relations that express the coefficients of the irrelevant terms as unique functions of a reduced set of independent couplings lambda, such that the divergences are removed by means of field redefinitions plus renormalization constants for the lambda's. I consider non-renormalizable theories whose renormalizable subsector R is interacting and does not contain relevant parameters. The "infinite" reduction is determined by i) perturbative meromorphy around the free-field limit of R, or ii) analyticity around the interacting fixed point of R. In general, prescriptions i) and ii) mutually exclude each other. When the reduction is formulated using i), the number of independent couplings remains finite or slowly grows together with the order of the expansion. The growth is slow in the sense that a reasonably small set of parameters is sufficient to make predictions up to very high orders. Instead, in case ii) the number of couplings generically remains finite. The infinite reduction is a tool to classify the irrelevant interactions and address the problem of their physical selection.Comment: 40 pages; v2: more explanatory comments; appeared in JHE

Many-core applications to online track reconstruction in HEP experiments

Interest in parallel architectures applied to real time selections is growing in High Energy Physics (HEP) experiments. In this paper we describe performance measurements of Graphic Processing Units (GPUs) and Intel Many Integrated Core architecture (MIC) when applied to a typical HEP online task: the selection of events based on the trajectories of charged particles. We use as benchmark a scaled-up version of the algorithm used at CDF experiment at Tevatron for online track reconstruction - the SVT algorithm - as a realistic test-case for low-latency trigger systems using new computing architectures for LHC experiment. We examine the complexity/performance trade-off in porting existing serial algorithms to many-core devices. Measurements of both data processing and data transfer latency are shown, considering different I/O strategies to/from the parallel devices.Comment: Proceedings for the 20th International Conference on Computing in High Energy and Nuclear Physics (CHEP); missing acks adde

Diagnóstico nutricional de soja no sul de Mato Grosso do Sul.

A expressão do potencial de desenvolvimento e de rendimento de uma planta depende, dentre os fatores de produção, do ambiente, de adequada disponibilidade de nutrientes em quantidade e no momento que for necessário. Caso o solo não forneça quantidade suficiente dos mesmos, faz-se necessária a aplicação dos nutrientes em deficiência de forma a suplementar o fornecimento do solo. A quantidade de nutrientes a ser fornecida baseia-se no conhecimento das necessidades nutricionais da cultura e na capacidade de fornecimento desses pelo solo. A análise química do solo é a ferramenta mais utilizada para diagnóstico e recomendação de intervenção no processo de produção, como a aplicação de corretivos da acidez do solo e de fertilizantes. Com o objetivo de avaliar o estado nutricional de soja no Sul de Mato Grosso do Sul, 87 amostras de solo e grãos foram coletadas nas entrelinhas de lavouras comerciais, da variedade CD 202, na safra 2000/01, durante os estádios V a V , nas 1 4 profundidades 0-20 e 20-40 cm. Os resultados mostraram que: a) os nutrientes da mais limitantes foram Zn, K e P, respectivamente em 18,5, 12,6 e 10,3 % das lavouras amostradas; e b) concentrações elevadas de Al e baixas de Ca, nas camadas subsuperficiais do solo, foram limitações químicas em 16% das lavouras amostradas.bitstream/item/38717/1/BP200211.pd

On the trace identity in a model with broken symmetry

Considering the simple chiral fermion meson model when the chiral symmetry is explicitly broken, we show the validity of a trace identity -- to all orders of perturbation theory -- playing the role of a Callan-Symanzik equation and which allows us to identify directly the breaking of dilatations with the trace of the energy-momentum tensor. More precisely, by coupling the quantum field theory considered to a classical curved space background, represented by the non-propagating external vielbein field, we can express the conservation of the energy-momentum tensor through the Ward identity which characterizes the invariance of the theory under the diffeomorphisms. Our ``Callan-Symanzik equation'' then is the anomalous Ward identity for the trace of the energy-momentum tensor, the so-called ``trace identity''.Comment: 11 pages, Revtex file, final version to appear in Phys.Rev.

Test of Gauge-Yukawa Unification

Recently it has been proposed that, in the framework of quantum field theory, both the Standard Model gauge and Yukawa interactions arise from a single gauge interaction in higher dimensions with supersymmetry. This leads to the unification of the Standard Model gauge couplings and the third family Yukawa couplings at the GUT scale. In this work, we make a detailed study of this unification using the current experimental data, and find a good agreement in a significant region of the parameter space. Similar relations, required in Finite Grand Unification models, are also studied.Comment: 14 pages, 5 figure

Comparison of Two Trap Net Designs for Sampling Muskellunge

Sampling adequate numbers of muskellunge (Esox masquinongy) is necessary to evaluate stocking success and to collect information on various population metrics (e.g., growth, condition, relative abundance). However, muskellunge are often difficult to sample with standard fish sampling gears. We collected muskellunge in trap nets of two different designs (large trap nets [1.5-m × 1.8-m frames, 1.5-m diameter hoops, double throated, single 1.5-m × 30.5-m lead and 19-mm knotless mesh] and small trap nets [0.9-m × 1.5-m frames, 0.9-m diameter hoops, single throat, single 0.9-m × 15.2-m lead and 19-mm knotted mesh]. We also estimated abundance of muskellunge (\u3e600 mm total length) in three eastern South Dakota waters using marked and recaptured fish collected from the trap net comparisons. Sampling with both large and small trap nets was completed during thespring of 2013 and 2014 soon after ice-out. More muskellunge were collected in large than small trap nets at all three lakes. Mean total lengths of muskellunge did not differ significantly between large and small trap nets; however, length-frequency distribu- tions did differ between net designs. Regardless of trap net design, a small number of muskellunge were collected, likely due to low abundance (population range = 0.10 fish/ha to 0.47 fish/ha) in these populations. Thus, long-term monitoring is necessary to accurately assess populations and associated trends. Sampling with large trap nets during the spring combined with population estimates may improve the ability to monitor and manage muskellunge when compared to sampling with small trap nets

An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories

An algebraic criterion for the vanishing of the beta function for renormalizable quantum field theories is presented. Use is made of the descent equations following from the Wess-Zumino consistency condition. In some cases, these equations relate the fully quantized action to a local gauge invariant polynomial. The vanishing of the anomalous dimension of this polynomial enables us to establish a nonrenormalization theorem for the beta function $\beta_g$, stating that if the one-loop order contribution vanishes, then $\beta_g$ will vanish to all orders of perturbation theory. As a by-product, the special case in which $\beta_g$ is only of one-loop order, without further corrections, is also covered. The examples of the N=2,4 supersymmetric Yang-Mills theories are worked out in detail.Comment: 1+32 pages, LaTeX2e, typos correcte