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We present a chiral effective model which exhibits all the known symmetry features of the QCD Lagrangian. The extended Linear Sigma Model (eLSM) includes (pseudo-)scalar and (axial-) vector mesons, glueballs, and baryons. It has proven to…

High Energy Physics - Phenomenology · Physics 2013-01-18 Anja Habersetzer

We study a semi-linear version of the Skyrme system due to Adkins and Nappi. The objects in this system are maps from $(1+3)$-dimensional Minkowski space into the $3$-sphere and 1-forms on $\mathbb{R}^{1+3}$, coupled via a Lagrangian…

Analysis of PDEs · Mathematics 2017-03-24 Andrew Lawrie , Casey Rodriguez

We develop a method for integrating out the heavy Kaluza-Klein modes of scalar type as well as those of vector and axial-vector types, in a class of hard-wall bottom-up approaches of holographic QCD models, including the Dirac-Born-Infeld…

High Energy Physics - Phenomenology · Physics 2014-06-19 Masayasu Harada , Yong-Liang Ma , Shinya Matsuzaki

We study the solitons of the symmetric space sine-Gordon theories that arise once the Pohlmeyer reduction has been imposed on a sigma model with the symmetric space as target. Under this map the solitons arise as giant magnons that are…

High Energy Physics - Theory · Physics 2009-04-30 Timothy J. Hollowood , J. Luis Miramontes

In this paper we present the extension of our unitary gauge invariant effective Lagrangian model to vector meson nucleon final states. This model already included the final states $\gamma N$, $\pi N$, $2\pi N$, $\eta N$, $K \Lambda$, and $K…

Nuclear Theory · Physics 2017-08-23 G. Penner , U. Mosel

The properties of $\rho$-mesons at finite temperature ($T$) are examined with an effective chiral lagrangian in which vector and axial-vector mesons are included as massive Yang-Mills fields of the chiral symmetry. It is shown that, at…

High Energy Physics - Phenomenology · Physics 2016-09-01 Chungsik Song

We propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show that a Skyrmion with higher-order terms proposed…

High Energy Physics - Theory · Physics 2017-09-12 Sven Bjarke Gudnason , Muneto Nitta

A generalized Lagrangian for the description of hadronic matter based on the linear $SU(3)_L \times SU(3)_R$ $\sigma$-model is proposed. Besides the baryon octet, the spin-0 and spin-1 nonets, a gluon condensate associated with broken scale…

Nuclear Theory · Physics 2009-10-30 P. Papazoglou , S. Schramm , J. Schaffner-Bielich , H. Stöcker , W. Greiner

We discuss the magnetic responses of vector meson masses based on the hidden local symmetry (HLS) model in constant magnetic field, described by the lightest two-flavor system including the pion, rho and omega mesons in the spectrum. The…

High Energy Physics - Phenomenology · Physics 2016-06-29 Mamiya Kawaguchi , Shinya Matsuzaki

Dynamics of solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), which is derived from a system of Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves, in which the…

Pattern Formation and Solitons · Physics 2014-01-14 E. M. Gromov , B. A. Malomed

Controlled Lagrangian and matching techniques are developed for the stabilization of relative equilibria and equilibria of discrete mechanical systems with symmetry as well as broken symmetry. Interesting new phenomena arise in the…

Optimization and Control · Mathematics 2007-05-23 Anthony M. Bloch , Melvin Leok , Jerrold E. Marsden , Dmitry V. Zenkov

The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr nonlinearity are demonstrated by means of the linear-stability analysis and in direct numerical simulations. The…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

A new Lagrangian model without nonlinear scalar self-interactions in the relativistic mean-field (RMF) theory is proposed. Introducing terms for scalar-vector interactions (SVI), we have developed a RMF Lagrangian model for finite nuclei…

Nuclear Theory · Physics 2008-11-26 M. M. Sharma

We model spacetime foam by a gas of virtual wormholes. For a free scalar field we derive the effective Lagrangian which accounts for the interaction with spacetime foam and contains two additional non-local terms. One term describes the…

General Relativity and Quantum Cosmology · Physics 2015-08-11 A. A. Kirillov , E. P. Savelova

We develop the technique of the variational approximation for solitons in two directions. First, one may have a physical model which does not admit the usual Lagrangian representation, as some terms can be discarded for various reasons. For…

Mathematical Physics · Physics 2009-11-07 D. J. Kaup , Boris A. Malomed

We extend the perturbative approach developed in an earlier work to deal with Lagrangians which have arbitrary higher order time derivative terms for both bosons and fermions. This approach enables us to find an effective Lagrangian with…

High Energy Physics - Theory · Physics 2009-11-07 Tai-Chung Cheng , Pei-Ming Ho , Mao-Chuang Yeh

In this letter we study soliton crystals in the $(2+1)$-dimensional analogue model of the $(3+1)$-dimensional Adkins--Nappi model of nuclear physics. The baby $\omega$-Skyrme model studied here is an $O(3)$ nonlinear $\sigma$ model coupled…

High Energy Physics - Theory · Physics 2024-07-12 Paul Leask

We consider the Standard Model, including a light scalar boson $h$, as an effective theory at the weak scale $v=246\,{\rm GeV}$ of some unknown dynamics of electroweak symmetry breaking. This dynamics may be strong, with $h$ emerging as a…

High Energy Physics - Phenomenology · Physics 2015-12-08 Gerhard Buchalla , Oscar Cata , Claudius Krause

Starting from the general Horndeski action, we derive the most general effective theory for scalar perturbations around flat space that allows us to screen fifth forces via the Vainshtein mechanism. The effective theory is described by a…

High Energy Physics - Theory · Physics 2013-08-09 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

We consider a collinear effective theory of highly energetic quarks with energy E, interacting with collinear and soft gluons by integrating out collinear degrees of freedom to subleading order. The collinear effective theory offers a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Junegone Chay , Chul Kim