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Chaotic functions are characterized by sensitivity to initial conditions, transitivity, and regularity. Providing new functions with such properties is a real challenge. This work shows that one can associate with any Boolean network a…

Discrete Mathematics · Computer Science 2011-12-08 J. M. Bahi , J. -F. Couchot , C. Guyeux , A. Richard

The triangle anomaly in massless and massive QED is investigated by adopting the symmetry-preserving loop regularization method proposed recently in \cite{LR}. The method is realized in the initial dimension of theory without modifying the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yong-Liang Ma , Yue-Liang Wu

Noether's calculus of invariant variations yields exact identities from functional symmetries. The standard application to an action integral allows to identify conservation laws. Here we rather consider generating functionals, such as the…

Statistical Mechanics · Physics 2021-08-16 Sophie Hermann , Matthias Schmidt

The kinetics of irreversible annihilation of charged particles performing overdamped motion induced by long-range interaction force, $F(r)\sim r^{-\lambda}$, is investigated. The system exhibits rich kinetic behaviors depending on the force…

Condensed Matter · Physics 2009-10-28 I. Ispolatov , P. Krapivsky

We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conserved mass we show that the spatio-temporal density…

Statistical Mechanics · Physics 2017-01-25 D. Karevski , G. M. Schütz

We report on several methodologically different NNLO determinations of the strong coupling constant from event shapes and related observables in e+e- annihilation. The event shape distributions are analyzed within a combined framework of…

High Energy Physics - Phenomenology · Physics 2010-11-19 Gionata Luisoni

Classical adiabatic invariants in actual adiabatic processes possess intrinsic dynamical fluctuations. The magnitude of such intrinsic fluctuations is often thought to be negligible. This widely believed physical picture is contested here.…

Quantum Physics · Physics 2013-07-02 Qi Zhang , Jiangbin Gong , C. H. Oh

The renormalisation group equation for $N$-point correlation functions can be interpreted in a geometrical manner as an equation for Lie transport of amplitudes in the space of couplings. The vector field generating the diffeomorphism has…

High Energy Physics - Theory · Physics 2015-06-26 Brian Dolan

We compute the one-loop effective action in \N=1 conformal SU(N) gauge theory which is an exactly marginal deformation of the \N=4 SYM theory. We consider an abelian background of constant \N = 1 gauge field and single chiral scalar. While…

High Energy Physics - Theory · Physics 2009-09-17 S. M. Kuzenko , A. A. Tseytlin

At total filling factor $\nu_T=1$, interlayer phase coherence in quantum Hall bilayers can result in a tunneling anomaly resembling the Josephson effect in the presence of strong fluctuations. The most robust experimental signature of this…

Mesoscale and Nanoscale Physics · Physics 2011-10-19 Timo Hyart , Bernd Rosenow

Cosmological observables of the primordial universe are encoded in the late-time field-theoretic wavefunction. For shift-symmetric scalars in de Sitter, a good approximation for many inflationary models, the wavefunction must be purely real…

High Energy Physics - Theory · Physics 2026-03-11 Alexander Farren , Ciaran McCulloch , Enrico Pajer , Xi Tong

We study the noise of the cotunneling current through one or several tunnel-coupled quantum dots in the Coulomb blockade regime. The various regimes of weak and strong, elastic and inelastic cotunneling are analyzed for quantum-dot systems…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene Sukhorukov , Guido Burkard , Daniel Loss

We study quantum processes with two or more adiabatic parameters. When the parameters are compactified, a derivative of the Hamiltonian gives a first Chern number, hence an integer. This topological formulation is applied to the AC…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun Goryo , Mahito Kohmoto

The resummation for the event-shape variable jet broadening is extended to next-to-next-to-leading logarithmic accuracy by computing the relevant jet and soft functions at one-loop order and the collinear anomaly to two-loop accuracy. The…

High Energy Physics - Phenomenology · Physics 2015-06-11 Thomas Becher , Guido Bell

In nonlinear electrodynamics, by implementing the causality principle as the requirement that the group velocity of elementary excitations over a background field should not exceed unity, and the unitarity principle as the requirement that…

High Energy Physics - Theory · Physics 2009-11-04 Anatoly E. Shabad , Vladimir V. Usov

In the practice of physics model building, the process of renormalization, resummation, and anomaly cancellation is to incrementally repair initially ill-defined Lagrangian quantum field theories. Impressive as this is, one would rather…

High Energy Physics - Theory · Physics 2026-03-26 Hisham Sati , Urs Schreiber

We consider the Adler-Bardeen anomaly of the U(1) axial current in abelian and non-abelian gauge theories and present its algebraic characterization as well as an explicit evaluation proving regularization scheme independence of the…

High Energy Physics - Theory · Physics 2007-05-23 Elisabeth Kraus

The critical behavior of infinite families of shift symmetric interacting theories with higher derivative kinetic terms (non unitary) is considered. Single scalar theories with shift symmetry are classified according to their upper critical…

High Energy Physics - Theory · Physics 2022-02-23 Mahmoud Safari , Andreas Stergiou , Gian Paolo Vacca , Omar Zanusso

We discuss hadron mass corrections and threshold resummation for deep-inelastic scattering $\ell N\rightarrow\ell' X$ and semi-inclusive annihilation $e^+e^-\rightarrow h X$ processes, and provide a prescription how to consistently combine…

High Energy Physics - Phenomenology · Physics 2015-03-05 Alberto Accardi , Daniele P. Anderle , Felix Ringer

The paper studies Non-Stationary Dynamic Factor Models such that the factors $\mathbf F_t$ are $I(1)$ and singular, i.e. $\mathbf F_t$ has dimension $r$ and is driven by a $q$-dimensional white noise, the common shocks, with $q<r$. We show…

Statistics Theory · Mathematics 2017-01-12 Matteo Barigozzi , Marco Lippi , Matteo Luciani