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We present both the Lagrangian and Hamiltonian procedures for treating higher-order equations of motion for mechanical models by adopting the Riemann-Liouville Fractional integral to describe their action. We point out and discuss its…

Classical Physics · Physics 2018-08-28 C. F. L. Godinho , Nelson Panza , J. A. Helayël Neto

The effective Lagrangian approach allows us to constrain fermion magnetic and electric moments using LEP-I data. We improve some of the previous limits on these moments.

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Escribano , E. Massó

We consider the two-point function of the gauge field in Lorentz-breaking theories with higher-derivative extension of the Dirac Lagrangian. We show that the Carroll-Field-Jackiw term naturally arises in this theory as a quantum correction…

High Energy Physics - Theory · Physics 2015-08-31 J. R. Nascimento , A. Yu. Petrov , C. Marat Reyes

When a new heavy particle is discovered at the LHC or at a future high-energy collider, it will be interesting to study its decays into Standard Model particles using an effective field-theory framework. We point out that the proper…

High Energy Physics - Phenomenology · Physics 2021-02-25 Stefan Alte , Matthias König , Matthias Neubert

A short introduction to quark models with four fermion terms and their predictions for the parameters of low-energy effective Lagrangians is given. Special attention is paid to predictions that are as general as possible. Contribution to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan Bijnens

In this paper, we study the Lagrangian functions for a class of second-order differential systems arising from physics. For such systems, we present necessary and sufficient conditions for the existence of Lagrangian functions. Based on the…

Numerical Analysis · Mathematics 2024-11-26 Yihan Shen , Yajuan Sun

We reanalyze the Hubbard-I approximation by showing that it is equivalent to an effective Hamiltonian describing Fermionic charge fluctuations, which can be solved by Bogoliubov transformation. As the most important correction in the limit…

Strongly Correlated Electrons · Physics 2009-10-31 A. Dorneich , M. G. Zacher , C. Groeber , R. Eder

We {\em derive} the exact configuration space path integral, together with the way how to evaluate it, from the Hamiltonian approach for any quantum mechanical system in flat spacetime whose Hamiltonian has at most two momentum operators.…

High Energy Physics - Theory · Physics 2007-05-23 K. Skenderis , P. van Nieuwenhuizen

We propose a refined scheme of deriving an effective low-energy Hamiltonian for materials with strong electronic Coulomb correlations beyond density functional theory (DFT). By tracing out the electronic states away from the target degrees…

Strongly Correlated Electrons · Physics 2017-08-09 Motoaki Hirayama , Takashi Miyake , Masatoshi Imada , Silke Biermann

Starting from a relativistic formulation of the pion-nucleon-delta system, the most general structure of 1/M corrections for a heavy baryon chiral lagrangian including spin 3/2 resonances is given. The heavy components of relativistic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor

Starting from Feynman's Lagrangian description of quantum mechanics, we propose a method to construct explicitly the propagator for the Wigner distribution function of a single system. For general quadratic Lagrangians, only the classical…

Quantum Physics · Physics 2017-05-11 Dries Sels , Fons Brosens , Wim Magnus

In this letter, we analyze the topological response of a fermionic model defined on the Lieb lattice in presence of an electromagnetic field. The tight-binding model is built in terms of three species of spinless fermions and supports a…

Strongly Correlated Electrons · Physics 2018-02-23 N. Menezes , C. Morais Smith , Giandomenico Palumbo

We investigate the existence and behavior of oscillons in theories in which higher derivative terms are present in the Lagrangian, such as galileons. Such theories have emerged in a broad range of settings, from higher-dimensional models,…

High Energy Physics - Theory · Physics 2018-12-19 Jeremy Sakstein , Mark Trodden

The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of few atomically thick layers and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced…

Strongly Correlated Electrons · Physics 2024-06-04 E. V. Gorbar , V. P. Gusynin , M. R. Parymuda

Second order degenerate Cl\`ement and Sar{\i}o\u{g}lu-Tekin Lagrangians are casted into forms of various first order Lagrangians. Hamiltonian analysis of these equivalent formalisms are performed by means of Dirac-Bergmann constraint…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Filiz Çağatay Uçgun , Oğul Esen , Hasan Gümral

We study several problems related to the construction and the use of effective Lagrangians by considering an extension of the standard model that includes a heavy scalar singlet coupled to the leptonic doublet. Starting from the full…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mikhail Bilenky , Arcadi Santamaria

A new domain decomposition method for Maxwell's equations in conductive media is presented. Using this method reconstruction algorithms are developed for determination of dielectric permittivity function using time-dependent scattered data…

Numerical Analysis · Mathematics 2022-10-27 Larisa Beilina , Eric Lindström

We construct an effective Lagrangian for the hadronic decays of a heavy excited $s$-wave-spin-one quarkonium into its ground state. We show that reasonable fits to the measured invariant mass spectra in the $J/\psi$ and $\Upsilon$ systems…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Mannel , Res Urech

We study the approximation of chiral quark models with simpler models, obtained via gradient expansion. The resulting Lagrangian of the type of the linear sigma-model contains, at the lowest level, an additional term with two derivatives.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Wojciech Broniowski , Bojan Golli

Dirac fermions have a central role in high energy physics but it is well known that they emerge also as quasiparticles in several condensed matter systems supporting topological order. We present a general method for deriving the…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Giandomenico Palumbo , Roberto Catenacci , Annalisa Marzuoli