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The pion nucleon vertex function at finite temperature is studied in the framework of: (a) the thermal (linear) sigma model to leading (one-loop) order, and (b) a thermal QCD-Finite Energy Sum Rule. Results from both methods indicate that…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , C. van Gend , M. Loewe

We compute the magnetic field-induced modifications to the boson self-coupling and the boson-fermion coupling, in the static limit, using an effective model of QCD, the linear sigma model with quarks. The former is computed for arbitrary…

High Energy Physics - Phenomenology · Physics 2021-01-04 Alejandro Ayala , José Luis Hernández , L. A. Hernández , Ricardo L. S. Farias , R. Zamora

The chiral phase boundary of strong matter is determined in the T-\mu plane from the chiral quark model, applying a non-perturbatively renormalised treatment, involving chains of pion-bubbles and 1-loop fermion contributions. In the absence…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Jakovac , A. Patkos , Zs. Szep , P. Szepfalusy

We study the chiral phase transition at finite temperature in the linear sigma model by employing a self-consistent Hartree approximation. This approximation is introduced by imposing self-consistency conditions on the effective meson mass…

Nuclear Theory · Physics 2009-10-30 Heui-Seol Roh , T. Matsui

We consider the phase diagram of hadronic matter as a function of temperature, T , and baryon chemical potential, mu. Currently the dominant paradigm is a line of first order transitions which ends at a critical endpoint. In this work we…

High Energy Physics - Phenomenology · Physics 2019-05-08 Robert D. Pisarski , Vladimir V. Skokov , Alexei M. Tsvelik

We extend our recent work, in which the Dirac equation with a ``(asymptotically free) Coulomb + (Lorentz scalar $\gamma_0\sigma r$) linear '' potential is used to obtain the light quark wavefunction for $q\bar Q$ mesons in the limit $m_Q\to…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. R. Ahmady , R. R. Mendel , J. D. Talman

Feynman's functional formulation of statistical mechanics is used to study the renormalizability of the well known Linear Chiral Sigma Model in the presence of fermionic fields at finite temperature in an alternative way. It is shown that…

High Energy Physics - Theory · Physics 2009-11-07 H. C. de Godoy Caldas , M. C. Nemes

Standard methods in computer model calibration treat the calibration parameters as constant throughout the domain of control inputs. In many applications, systematic variation may cause the best values for the calibration parameters to…

Methodology · Statistics 2017-02-09 D. Andrew Brown , Sez Atamturktur

The effect of the finite system size on the QCD phase diagram was studied with various momentum space constraints within a mean-field quark-meson model. On the one hand side, the choice of the scenario -- low-momentum cutoff and…

High Energy Physics - Phenomenology · Physics 2025-04-25 Győző Kovács

We explore the Quantum Chromodynamics (QCD) phase diagram's complexities, including quark deconfinement transitions, liquid-gas phase changes, and critical points, using the chiral mean-field (CMF) model that is able to capture all these…

We refine the relativistic constituent quark model developed in our previous papers to include the confinement of quarks. It is done, first, by introducing the scale integration in the space of alpha-parameters, and, second, by cutting this…

High Energy Physics - Phenomenology · Physics 2010-05-12 Tanja Branz , Amand Faessler , Thomas Gutsche , Mikhail A. Ivanov , Jurgen G. Korner , Valery E. Lyubovitskij

Using the two-particle irreducible (2PI) $\Phi$-functional formalism for self-consistent approximations of a linear-$\sigma$ model for quarks and mesons in and out of equilibrium, the build-up of fluctuations of net-baryon number during the…

Nuclear Theory · Physics 2022-12-22 H. van Hees , A. Meistrenko , C. Greiner

The renormalization of the effective QCD-Hamiltonian theory for the quark-antiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed point-Hamiltonian brings…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Frederico , H. -C. Pauli

We study the relation between the continuum threshold as function of the temperature $s_0(T)$ within finite energy sum rules and the trace of the Polyakov loop $\Phi$ in the framework of a nonlocal SU(2) chiral quark model, establishing a…

High Energy Physics - Phenomenology · Physics 2017-02-15 J. P. Carlomagno , M. Loewe

The framed standard model (FSM) suggested earlier, which incorporates the Higgs field and 3 fermion generations as part of the framed gauge theory structure, is here developed further to show that it gives both quarks and leptons…

High Energy Physics - Phenomenology · Physics 2012-06-14 Michael J. Baker , J. Bordes , H. M. Chan , S. T. Tsou

By using the standard perturbation theory we study the mass as well as $\theta$ parameter dependence of the Seiberg-Witten theory with $SU(2)$ gauge group, supplemented with a $N=1$ supersymmetric as well as a smaller nonsupersymmetric…

High Energy Physics - Theory · Physics 2011-04-15 K. Konishi

Introducing, in the underlying gauge theory of the Standard Model, the frame vectors in internal space as field variables (framons), in addition to the usual gauge boson and matter fermions fields, one obtains: * the standard Higgs scalar…

High Energy Physics - Phenomenology · Physics 2015-05-21 HM Chan , ST Tsou

Inhomogeneous chiral-symmetry breaking phases at non-vanishing chemical potential and temperature are studied within a two-flavor quark-meson model in the chiral limit. The analysis is performed beyond the standard mean-field approximation…

High Energy Physics - Phenomenology · Physics 2014-07-30 Stefano Carignano , Michael Buballa , Bernd-Jochen Schaefer

We analyze the dependence of the QCD transition temperature on the quark (or pion) mass. We find that a linear sigma model, which links the transition to chiral symmetry restoration, predicts a much stronger dependence of T_c on m_pi than…

High Energy Physics - Phenomenology · Physics 2009-11-10 Adrian Dumitru , Dirk Röder , Jörg Ruppert

We illustrate that both of massless pseudoscalar meson fields and constitutent quark fields are dynamical field degrees of freedom in energy region between chiral symmetry spontaneously broken scale and quark confinement scale. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 X. -J. Wang , M. -L. Yan
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