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The various dynamical scales below the pion mass involved in $\pi^{+}$ $\pi^{-}$ atoms are sequentially integrated out using non-relativistic effective field theory techniques. This allows us to systematically organise the corrections to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Eiras , J. Soto

The system of second-order equations of mean-field expansion is considered for Nambu--Jona-Lasinio model with chiral symmetry of SU(2)-group. The system includes equations for four-particle and three-particle functions and also equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Rochev

We derive the equations of motion of an action-dependent version of the Einstein-Hilbert Lagrangian, as a specific instance of the Herglotz variational problem. Action-dependent Lagrangians lead to dissipative dynamics, which cannot be…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Jordi Gaset , Arnau Mas

We present a relativistic molecular dynamics approach based on the Nambu--Jona-Lasinio Lagrangian. We derive the relativistic time evolution equations for an expanding plasma, discuss the hadronization cross section and how they act in such…

High Energy Physics - Phenomenology · Physics 2013-04-02 Rudy Marty , Jörg Aichelin

The \tau \to \omega,\phi \pi^- \nu_\tau decays of the \tau lepton are studied using the method of phenomenological SU(3) * SU(3) chiral Lagrangians. It is shown that the obtained value for the \tau \to \phi \pi \nu_\tau decay probability is…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. R. Nasriddinov , B. N. Kuranov , T. A. Merkulova

An improved update of the structure and decays of $\rho^0$, $\omega$ and $\phi$ mesons based on a chiral SU(3) Lagrangian, including anomaly terms is presented. We demonstrate that a consistent and quantitatively successful description of…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. Klingl , N. Kaiser , W. Weise

A surface model of Nambu and Goto is studied statistical mechanically by using the canonical Monte Carlo simulation technique on a spherical meshwork. The model is defined by the area energy term and a one-dimensional bending energy term in…

Statistical Mechanics · Physics 2007-11-21 Hiroshi Koibuchi

An investigation of dynamical chiral symmetry breaking on the light front is made in the Nambu--Jona-Lasinio model with one flavor and N colors. Analysis of the model suffers from extraordinary complexity due to the existence of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Itakura , S. Maedan

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

Based on the Weinberg lagrangian or, in a new language, the lagrangian of hidden local symmetry added with the term induced by the anomalous lagrangian of Wess and Zumino, the dynamics of the decays rho to 4 pi and omega to 5 pi is…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. N. Achasov , A. A. Kozhevnikov

A massive rigid particle model in $(3+1)$ dimensions is reformulated in terms of twistors. Beginning with a first-order Lagrangian, we establish a twistor representation of the Lagrangian for a massive particle with rigidity. The twistorial…

High Energy Physics - Theory · Physics 2018-06-04 Shinichi Deguchi , Takafumi Suzuki

An alternative model for the dissociation of the J/psi is proposed. Chiral symmetry is properly implemented. Abnormal parity interactions and mesonic form factors naturally arise from the underlying quark sub-structure. Analytic confinement…

High Energy Physics - Phenomenology · Physics 2009-08-18 A. Bourque , C. Gale

In this paper we give a geometric description of the Jacobi equations associated to a first-order Lagrangian field theory using a prolongation of the Lagrangian $L$ on a $k$-cosymplectic formulation. Moreover, using an appropriate…

Mathematical Physics · Physics 2025-11-07 David Martin de Diego , Najma Mosadegh

The mass shift a spin-1 particle moving in the nuclear medium will depend on its polarization direction. To study polarization-independent mass shifts in the medium, we explore methods to isolate each polarization direction of spin-1 mesons…

High Energy Physics - Phenomenology · Physics 2024-10-07 In Woo Park , Hiroyuki Sako , Kazuya Aoki , Philipp Gubler , Su Houng Lee

The vortex-like solutions are studied in the framework of the gauge model of disclinations in elastic continuum. A complete set of model equations with disclination driven dislocations taken into account is considered. Within the linear…

patt-sol · Physics 2009-10-31 M. Pudlak , V. A. Osipov

We construct an effective Lagrangian of heavy and light mesons with $1/M_Q$ correction. The Lagrangian is constructed model independent way by using only the information of the symmetry of QCD. Reparameterisation invariance at the meson…

High Energy Physics - Phenomenology · Physics 2009-10-22 N. Kitazawa , T. Kurimoto

Traditional cutoff regularization schemes of the Nambu--Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. L. S. Farias , G. Dallabona , G. Krein , O. A. Battistel

The decays $K^{+} \rightarrow \pi^{+} e^{+} e^{-}$, $K_{S} \rightarrow \pi^{0} e^{+} e^{-}$ and $K_{L} \rightarrow \pi^{0} e^{+} e^{-}$ are reinvestigated within the framework of chiral perturbation theory. The counterterms induced by…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Fajfer

The decay width $\tau\to\pi\omega\nu$ in the framework of the extended NJL model is calculated. The contributions of the intermediate vector mesons $\rho(770)$ and $\rho'(1450)$ are taken into account. The computed partial width and the…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. K. Volkov , A. B. Arbuzov , D. G. Kostunin

We study the long-distance relevance of vortices (instantons) in an $N$-component axially U(1)-gauged four-Fermi theory in $1+1$ dimensions, in which a naive use of $1/N$ expansion predicts the dynamical Higgs phenomenon. Its general…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Yamamoto