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Chiral symmetry breaking in QCD leads to the emergence of pions as Goldstone bosons. Their existence in turn affects the Green functions of the theory. Here we study the effect of pion corrections on the light quark's Green function in…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlo Ewerz

We derive expression for the large b_perp asymptotic of the 3D parton distributions q(x,b_perp) in the pion. The asymptotic depends exclusively on the mass scales F_pi and m_pi. Therefore it provides us with a nice example of a strict…

High Energy Physics - Phenomenology · Physics 2011-05-27 I. A. Perevalova , M. V. Polyakov , A. N. Vall , A. A. Vladimirov

The pion structure function is investigated in a simple model, where pion and constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi-> gamma* pi scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Bissey , J. R. Cudell , J. Cugnon , M. Jaminon , J. P. Lansberg , P. Stassart

In this paper, we discuss a decoupling of the Goldstone bosons from highly excited hadrons in relation to the restoration of chiral symmetry in such hadrons. We use a generalised Nambu-Jona-Lasinio model with the interaction between quarks…

High Energy Physics - Phenomenology · Physics 2009-11-11 L. Ya. Glozman , A. V. Nefediev

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 Sakai-Sugimoto model provides a holographic description for chiral symmetry breaking. We use this model to investigate chirally broken phases in an external magnetic field at finite isospin and baryon chemical potentials. The equations…

High Energy Physics - Theory · Physics 2009-05-29 Anton Rebhan , Andreas Schmitt , Stefan A. Stricker

Assuming dynamical spontaneous breakdown of chiral symmetry for massless gauge theory without scalar fields, we present a method how to construct an effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions by using…

High Energy Physics - Theory · Physics 2007-05-23 T. Matsuki , M. Shiotani , R. W. Haymaker

In this paper, we present a holographic realization of spontaneous chiral symmetry breaking and confinement. The latter is realized by building a solution of 5d Einstein-dilaton gravity leading to a confining quark antiquark potential. The…

High Energy Physics - Phenomenology · Physics 2023-08-16 Alfonso Ballon-Bayona , Tobias Frederico , Luis A. H. Mamani , Wayne de Paula

We show that baryon number symmetry is spontaneously broken in a class of three-dimensional, ${\cal N}=1$ supersymmetric theories with a discrete mass spectrum. These models serve as lower-dimensional, less-supersymmetric analogs of the…

High Energy Physics - Theory · Physics 2025-10-06 Antón F. Faedo , Carlos Hoyos , Javier G. Subils

We propose a novel lattice calculation of spontaneous chiral symmetry breaking in QED model with 2+1 dimensional fermion brane. Considering the relativistic action with gauge symmetry we rigorously carry out path integral in Monte-Carlo…

High Energy Physics - Lattice · Physics 2012-11-29 Eigo Shintani , Tetsuya Onogi

We consider pion condensation in QCD at finite isospin density $\mu_I$ and zero temperature using two-flavor chiral perturbation theory ($\chi$PT). The pressure is calculated to next-to-leading order (NLO) in the low-energy expansion. In…

High Energy Physics - Phenomenology · Physics 2024-02-26 Jens O. Andersen , Qing Yu , Hua Zhou

The momentum-space bosonization method of a Nambu and Jona-Lasinio type model with vector and axial-vector mesons is applied to $\pi\pi$ scattering. Unlike the case in earlier published papers, we obtain the $\pi\pi$ scattering amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , A. H. Blin , B. Hiller , Y. P. Ivanov , A. A. Osipov , Ulf-G. Meißner

Goldstone modes are the only pseudoscalar mesons to possess a nonzero leptonic decay constant in the chiral limit when chiral symmetry is dynamically broken. The decay constants of their radial excitations vanish. These features and aspects…

Nuclear Theory · Physics 2010-03-04 A. Hoell , A. Krassnigg , C. D. Roberts

For an exact chiral symmetry which is spontaneously broken at zero temperature, we show that at nonzero temperature, generally pions travel at {\it less} than the speed of light. This effect first appears at next to leading order in an…

High Energy Physics - Phenomenology · Physics 2010-01-06 Robert D. Pisarski , Michel Tytgat

We investigate the pressure of the pion, which should be equal to zero to ensure the stability of the pion, within the framework of the chiral quark model beyond the chiral limit. The pressure of the pion turns out to vanish nontrivially by…

High Energy Physics - Phenomenology · Physics 2015-06-23 Hyeon-Dong Son , Hyun-Chul Kim

The spontaneous breaking of boost invariance is ubiquitous in nature, yet the associated Goldstone bosons are nowhere to be seen. We discuss why some subtleties are to be expected in the Goldstone phenomenon for spontaneously broken boosts,…

High Energy Physics - Theory · Physics 2020-08-26 Lasma Alberte , Alberto Nicolis

The mass gap equation for spontaneous chiral symmetry breaking is studied directly in Minkowsky space. In hadronic physics, spontaneous chiral symmetry breaking is crucial to generate a constituent mass for the quarks, and to produce the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pedro Bicudo

Based on the (approximate) chiral symmetry of QCD Lagrangian and the bound state assumption of effective meson fields, a nonlinearly realized effective chiral Lagrangian for meson fields is obtained from integrating out the quark fields by…

High Energy Physics - Phenomenology · Physics 2011-09-13 Yuan-Ben Dai , Yue-Liang Wu

We discuss the Ward identity and the low-energy theorem for the divergence of the axial-vector current in the massless Thirring model with fermion fields quantized in the chirally broken phase (Eur. Phys. J. C20, 723 (2001)). The Ward…

High Energy Physics - Theory · Physics 2007-05-23 M. Faber , A. N. Ivanov

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