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We discuss the inhomogeneous pion condensed phase within the framework of chiral perturbation theory. We show how the general expression of the condensate can be obtained solving three coupled differential equations, expressing how the pion…

High Energy Physics - Phenomenology · Physics 2022-02-16 Massimo Mannarelli , Fabrizio Canfora , Stefano Carignano , Marcela Lagos , Aldo Vera

We show that the multicomponent meson systems can be described by chiral perturbation theory. We chiefly focus on a system of two pion gases at different isospin chemical potential, deriving the general expression of the chiral Lagrangian,…

High Energy Physics - Phenomenology · Physics 2019-05-22 Luca Lepori , Massimo Mannarelli

We investigate a baryonic structure in low-energy QCD via a model-independent way using the chiral perturbation theory at the leading order, in the presence of the baryon chemical potential $\mu_B$, the isospin chemical potential $\mu_I$,…

High Energy Physics - Phenomenology · Physics 2025-09-26 Yu Hamada , Muneto Nitta , Zebin Qiu

Chiral perturbation theory predicts the chiral anomaly to induce a so-called Chiral Soliton Lattice at sufficiently large magnetic fields and baryon chemical potentials. This state breaks translational invariance in the direction of the…

High Energy Physics - Theory · Physics 2024-01-29 Geraint W. Evans , Andreas Schmitt

Broken chiral symmetry has become the basis for a unified treatment of hadronic interactions at low energies. After reviewing mechanisms for spontaneous chiral symmetry breaking, I outline the construction of the low--energy effective field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gerhard Ecker

The properties of QCD matter at finite isospin densities are investigated employing holographic hard-wall and soft-wall AdS/QCD models. It is confirmed that at high enough isospin densities, charged pions start to condense and the pion…

High Energy Physics - Phenomenology · Physics 2024-09-02 Yidian Chen , Mingshan Ding , Danning Li , Kazem Bitaghsir Fadafan , Mei Huang

It was previously shown within chiral perturbation theory that the ground state of QCD in a sufficiently large magnetic field and at nonvanishing, but not too large, baryon chemical potential is a so-called chiral soliton lattice. The…

High Energy Physics - Theory · Physics 2022-10-19 Geraint W. Evans , Andreas Schmitt

We investigate isospin breaking in low-energy pion-nucleon scattering in the framework of chiral perturbation theory. This work extends the systematic analysis of [1] to the energy range above threshold. Various relations, which identically…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner

In this paper we investigate the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials. Spatially…

High Energy Physics - Phenomenology · Physics 2017-06-07 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov , V. C. Zhukovsky

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

These lectures give an introduction to baryon chiral perturbation theory. I show in detail how to construct the chiral effective pion-nucleon Lagrangian in the one loop approximation. Particular emphasis is put on the physics related to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulf-G. Meißner

We calculate isospin breaking in pion-nucleon scattering in the threshold region in the framework of covariant baryon chiral perturbation theory. All effects due to quark mass differences as well as real and virtual photons are consistently…

High Energy Physics - Phenomenology · Physics 2011-11-22 Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

In the framework of chiral perturbation theory we investigate whether, in the presence of nucleons, a many-particle system may lower its energy density by changing its mesonic vacuum from a homogeneous to a spiral configuration. Numerical…

High Energy Physics - Phenomenology · Physics 2011-12-02 Daniel Arnold

We study baryonic matter with isospin asymmetry, including fully dynamically its interplay with pion condensation. To this end, we employ the holographic Witten-Sakai-Sugimoto model and the so-called homogeneous ansatz for the gauge fields…

High Energy Physics - Phenomenology · Physics 2022-03-01 Nicolas Kovensky , Andreas Schmitt

The dynamics of fluids in which the constituent particles carry nonabelian charges can be described succinctly in terms of group-valued variables via a generalization of the co-adjoint orbit action for particles. This formalism, which is…

High Energy Physics - Theory · Physics 2013-10-30 D. Capasso , V. P. Nair , J. Tekel

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

In this talk we present investigation of the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials.…

High Energy Physics - Phenomenology · Physics 2018-08-16 T. G. Khunjua , V. C. Zhukovsky , K. G. Klimenko , R. N. Zhokhov

Making use of the quasi-coherent state developed by Eriksson et al., we can find a nucleon solution accompanied by the pion field with trivial topology. We compare our approach with other related works, and examine a coherent state…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masanori Morishita , Masaki Arima

The main elements and methods of chiral perturbation theory, the effective field theory of the Standard Model below the scale of spontaneous chiral symmetry breaking, are summarized. Applications to the interactions of mesons and baryons at…

High Energy Physics - Phenomenology · Physics 2010-12-02 Gerhard Ecker

When the isospin chemical potential exceeds the pion mass, charged pions condense in the zero-momentum state forming a superfluid. Chiral perturbation theory provides a very powerful tool for studying this phase. However, the formalism that…

High Energy Physics - Phenomenology · Physics 2017-02-28 Stefano Carignano , Luca Lepori , Andrea Mammarella , Massimo Mannarelli , Giulia Pagliaroli
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