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The Lagrangian of pseudoscalar, vector, and axial-vector mesons is determined by the explicit global chiral symmetry and hidden local chiral symmetry. There are fourteen interacting terms up to the dimension-four of covariant derivatives…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bing An Li , Yue-Liang Wu

In this paper, we present the full Lagrangian of mesons (pseudoscalars, vectors and axial-vectors) to $O(p^4)$ by using the explicit global chiral symmetry and hidden local symmetry in the chiral limit. In this approach, we see that there…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yong-Liang Ma , Qing Wang , Yue-Liang Wu

A scale-invariant chiral effective Lagrangian is constructed for octet pions and a dilaton figuring as Nambu-Goldstone bosons with vector mesons incorporated as hidden gauge fields. The Lagrangian is built to the next-to-leading order in…

High Energy Physics - Phenomenology · Physics 2017-06-21 Yan-Ling Li , Yong-Liang Ma , Mannque Rho

In a four-dimensional space I shall construct all of the conformally invariant, scalar-vector-tensor field theories that are consistent with conservation of charge, and flat space compatible. By the last assumption I mean that the…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Gregory W. Horndeski

The commonly used types of effective theory for vector mesons are reviewed and their relationships clarified. They are shown to correspond to different choices of field for spin-1 particles and the rules for transforming between them are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Michael C. Birse

Using two different methods inspired by duality transformations we present the equivalence between effective Lagrangians for massive vector mesons using a vector field and an antisymmetric tensor field. This completes the list of explicit…

High Energy Physics - Phenomenology · Physics 2015-06-25 Johan Bijnens , Elisabetta Pallante

The accuracy of effective chiral lagrangians including vector-mesons as (hidden symmetry) gauge fields is shown to be improved by taking into account SU(3)-breaking in the vector-meson sector. The masses, $M_V$, and couplings to the photon…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bramon , A. Grau , G. Pancheri

We show how to obtain a ``heavy'' meson effective lagrangian for the case where the number of heavy particles is not conserved. We apply the method in a simple example at tree level and perform then the reduction for the case of vector…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. Bijnens , P. Gosdzinsky , P. Talavera

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

In a four-dimensional space, I shall construct all of the conformally invariant scalar-tensor field theories, which are flat space compatible; i.e., well-defined and differentiable when evaluated for a flat metric tensor and constant scalar…

General Relativity and Quantum Cosmology · Physics 2017-06-16 Gregory W. Horndeski

In a space of 4-dimensions, I will examine constrained variational problems in which the Lagrangian, and constraint scalar density, are concomitants of a (pseudo-Riemannian) metric tensor and its first two derivatives. The Lagrange…

General Relativity and Quantum Cosmology · Physics 2016-09-15 Gregory W. Horndeski

The progress in determining the coupling constants of mesonic chiral Lagrangians is reviewed, with emphasis on the work performed in three successive European Networks (Eurodaphne I and II, Euridice). Reliable estimates of those constants…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gerhard Ecker

We present a general analysis of gauge invariant, exact and metric independent forms which can be constructed using higher rank field-strength tensors. The integrals of these forms over the corresponding space-time coordinates provides new…

High Energy Physics - Theory · Physics 2014-01-27 Ignatios Antoniadis , George Savvidy

In this paper I shall construct, in a four-dimensional space, all vector-tensor field theories that are conformally invariant, consistent with conservation of charge, and flat space compatible. By the last assumption I mean that the…

General Relativity and Quantum Cosmology · Physics 2017-11-07 Gregory W. Horndeski

We modify a chiral effective lagrangian recently suggested to describe interactions of the light pseudoscalars with mesons containing a heavy quark, so as to incorporate light vector resonances, such as $\rho$, etc. The modification uses…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. Casalbuoni , A. Deandrea , N. Di Bartolomeo , R. Gatto , F. Feruglio , G. Nardulli

Equivalence of the hidden local symmetry formulation with non-minimal interactions and the anti-symmetric tensor field method of $\rho$ and $a_1$ mesons in the chiral lagrangian is shown by using the auxiliary field method. Violation of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Masaharu Tanabashi

In this review we report on advances in topological soliton models of the nucleon. In chapter I we construct an effective lagrangian of QCD with the low mass mesons ($\pi,\rho,A_1$ and the scalar meson $\epsilon$) generalising the Skyrme…

High Energy Physics - Phenomenology · Physics 2009-09-25 Dimitri Kalafatis

We consider the vector meson mixing scheme and mass splitting within the framework of an extended $U(3)_L\bigotimes U(3)_R$ chiral effective field theory based on the hidden local symmetry approach where, the pseudoscalar and vector meson…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Gedalin , A. Moalem , L. Razdolskaya

We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that…

High Energy Physics - Theory · Physics 2024-06-11 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

We calculate the coefficients in the effective chiral Lagrangian from QCD, which includes pseudo-scalar mesons and vector mesons (with hidden symmetry), up to O(p4). This encompasses both the normal and anomalous parts. Our work builds on a…

High Energy Physics - Phenomenology · Physics 2024-06-17 Zi-Kan Geng , Qing Wang
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