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The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Y. Tsue , K. Matsuda

We discuss the reaction $\pi^- e^- \to \pi^- e^- \pi^{0}$ with the purpose of obtaining information on the $\gamma \pi \to \pi\pi$ anomalous amplitude ${\cal F}_{3\pi}$. We compare a full calculation at ${\cal O}(p^6)$ in chiral…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Giller , A. Ocherashvili , T. Ebertshauser , M. A. Moinester , S. Scherer

As pointed out, chiral non-commutative theories exist, and examples can be constructed via string theory. Gauge anomalies require the matter content of individual gauge group factors, including U(1) factors, to be non-chiral. All ``bad''…

High Energy Physics - Theory · Physics 2009-11-07 Ken Intriligator , Jason Kumar

We propose an effective chiral Lagrangian with a chiral scalar introduced as a dilaton associated with broken conformal symmetry and responsible for the trace anomaly in QCD and discuss the properties of hadronic matter at high density and…

High Energy Physics - Phenomenology · Physics 2011-11-04 Chihiro Sasaki

The by now well-established scalar-isoscalar resonance $f_{0}(500)$ (the $\sigma$ meson) seems potentially relevant in the evaluation of thermodynamic quantities of a hadronic gas, since its mass is low. However, we recall that its…

Nuclear Theory · Physics 2015-09-23 Wojciech Broniowski , Francesco Giacosa , Viktor Begun

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

Anomalous sector of chiral Lagrangian is calculated in a gauge invariant, nonlocal, dynamical quark model. The Wess-Zumino term is proved coming from two kinds of sources, one is independent on and another dependent on dynamical quark self…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yong-Liang Ma , Qing Wang

$Z \to \gamma \gamma$ decay amplitude is considered and proven to be zero due to properties of polarization vectors and Bose statistics. Triangular diagrams for a pseudoscalar $\to \gamma \gamma$ and $Z \to \gamma \gamma$ processes with…

High Energy Physics - Phenomenology · Physics 2015-03-17 E. V. Zhemchugov

We present a study of the $\pi\pi$ scattering amplitude in the $\sigma$ and $\rho$ channels at finite temperature and nuclear density within a chiral unitary framework. Meson resonances are dynamically generated in our approach, which…

High Energy Physics - Phenomenology · Physics 2009-07-22 D. Cabrera , D. Fernandez-Fraile , A. Gomez Nicola

We investigate the properties of the amplitude induced by the anomaly. In a relatively high energy region those amplitudes are constructed by the vector meson poles and the anomaly terms, in which the anomaly terms can be essentially…

High Energy Physics - Phenomenology · Physics 2009-10-22 Masako Bando , Masayasu Harada

After a brief introduction to the overlap two examples relating to topological properties of chiral fermion systems in interaction with gauge fields are presented: It is shown how the overlap preserves the continuum structure of exact…

High Energy Physics - Lattice · Physics 2017-08-23 Herbert Neuberger

Inhomogeneous chiral phase is discussed in the presence of the magnetic field. A topological aspect is pointed out for the complex order parameter, in relation to the spectral asymmetry of the Dirac operator. It induces an anomalous baryon…

High Energy Physics - Phenomenology · Physics 2015-06-18 T. Tatsumi , K. Nishiyama , S. Karasawa

We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We…

High Energy Physics - Theory · Physics 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino

We consider the isospin one-half example system, with $D \,\pi , D\,\eta, D_s \bar K, D^* \pi , D^*\eta, D^*\bar K$ coupled channels in the $J^P = 1^-$ partial wave, chosen such that various phenomena that come with the opening of an…

High Energy Physics - Phenomenology · Physics 2023-03-08 Csaba L. Korpa , Matthias F. M. Lutz , Xiao-Yu Guo , Yonggoo Heo

Symmetries affected by the anomaly do not survive quantization and cannot be understood classically. They are of fundamental importance and offer an opportunity of expanding the theoretical framework. We examine the theory of the anomalous…

High Energy Physics - Phenomenology · Physics 2007-05-23 Olof Strandberg

We develop a quantum kinetic theory of the chiral condensate and meson quasi-particle excitations using the O(N) linear sigma model which describe the chiral phase transition both in and out of equilibrium in a unified way. A mean field…

Nuclear Theory · Physics 2008-12-11 M. Matsuo , T. Matsui

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

The form factor $g_{\rho \pi}^{(S)}(Q^{2})$ of the strange vector current transition matrix element $<\rho| \bar{s}\gamma_\mus|\pi>$ is calculated within the chiral quark model. A strange vector current of the constituent $U$- and D-quarks…

Nuclear Theory · Physics 2011-03-28 Hiroshi Ito , M. J. Ramsey-Musolf

The chiral nonlinear ($\sigma,\pi,\omega$) mean-field model is an extension of the conserving nonlinear (nonchiral) $\sigma$-$\omega$ hadronic mean-field model which is thermodynamically consistent, relativistic and Lorentz-covariant…

Nuclear Theory · Physics 2010-11-24 Schun T. Uechi , Hiroshi Uechi

We analyze various aspects of pion and kaon condensation in the framework of chiral perturbation theory. Considering a system at vanishing temperature and varying the isospin chemical potential and the strange quark chemical potential we…

High Energy Physics - Phenomenology · Physics 2015-10-21 Andrea Mammarella , Massimo Mannarelli