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The quark meson (linear sigma) model with linearized fluctuations displays at a critical end point the onset of a curve of first-order phase transitions (FOPTs) located at non-zero chemical potentials and temperatures below a certain…

High Energy Physics - Phenomenology · Physics 2017-02-01 Falk Wunderlich , Burkhard Kampfer

Fluctuations are included in a chiral nucleon-meson model within the framework of the functional renormalization group. The model, with parameters fitted to reproduce the nuclear liquid-gas phase transition, is used to study the phase…

Nuclear Theory · Physics 2015-06-16 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

Earlier work suggested that the in-medium $\pi N$ threshold isovector amplitude $b_1(\rho)$ gets renormalized in pionic atoms by about 30% away from its $\rho=0$ free-space value, relating such renormalization to the leading low-density…

Nuclear Theory · Physics 2019-04-12 E. Friedman , A. Gal

We continue our investigation of the QCD dynamics in terms of the Curci-Ferrari effective Lagrangian, a deformation of the Faddeev-Popov one in the Landau gauge with a tree-level gluon mass term. In a previous work we have studied the…

High Energy Physics - Phenomenology · Physics 2023-03-29 Marcela Peláez , Urko Reinosa , Julien Serreau , Nicolás Wschebor

Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. G. Steele , J. C. Breckenridge , M. Benmerrouche , V. Elias , A. H. Fariborz

The critical regions enveloping the critical end point (CEP) in the chemical potential-temperature plane of phase diagrams, have been mapped by drawing the contours of the normalized quark number susceptibility in the on-shell renormalized…

High Energy Physics - Phenomenology · Physics 2025-12-16 Akanksha Tripathi , Vivek Kumar Tiwari

Dynamical chiral symmetry breaking is described within the linear sigma model of QCD coupled to quarks. The main technical tool used for this intrinsically non--perturbative problem is an exact renormalization group equation for the quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. -U. Jungnickel

We compare two order parameters for the deconfinement transition, induced by thermal and density effects, commonly used in the literature, namely the thermal and density evolution of the continuum threshold $s_{0}$, within the frame of the…

High Energy Physics - Phenomenology · Physics 2017-09-06 J. P. Carlomagno , M. Loewe

We write down some relevant matrix elements for the scattering and decay processes of the pion by considering a quark-meson vertex function. The pion charge and transition form factors $F_\pi$, $F_{\pi\gamma}$, and $F_{\pi\gamma^*}$ are…

High Energy Physics - Phenomenology · Physics 2009-11-07 Chien-Wen Hwang

Deconfinement and chiral symmetry restoration are explored in a confining, renormalisable, Dyson-Schwinger equation model of two-flavour QCD. An order parameter for deconfinement is introduced and used to establish that, in the chiral…

Nuclear Theory · Physics 2010-03-04 Axel Bender , David Blaschke , Yuri Kalinovsky , Craig D. Roberts

The phase structure of baryonic matter is investigated with focus on the role of fluctuations beyond the mean-field approximation. The prototype test case studied is the chiral nucleon-meson model, with added comments on the chiral…

Nuclear Theory · Physics 2021-08-04 Len Brandes , Norbert Kaiser , Wolfram Weise

The pion decay constant $F_{\pi}$ plays an important role in QCD and in Chiral Perturbation Theory. It is hardly known, however, that a corresponding constant exists in the Schwinger model with $N_{\rm f} \geq 2$ degenerate fermion flavors.…

High Energy Physics - Lattice · Physics 2023-11-27 Jaime Fabián Nieto Castellanos , Ivan Hip , Wolfgang Bietenholz

We use the linear sigma model with quarks to study the QCD phase diagram from the point of view of chiral symmetry restoration. We compute the leading order effective potential for high and low temperatures and finite quark chemical…

High Energy Physics - Phenomenology · Physics 2018-01-31 Alejandro Ayala , Saul Hernandez-Ortiz , Luis A. Hernandez

We study the mean-field thermodynamics and the characteristics of the net-baryon number fluctuations at the phase boundaries for the chiral and deconfinement transitions in the Hybrid Quark-Meson-Nucleon model. The chiral dynamics is…

High Energy Physics - Phenomenology · Physics 2018-02-16 Michał Marczenko , Chihiro Sasaki

We perform an improvement in a thermodynamical consistent model with density dependent quark masses ($m'_{u,d,s}$) by introducing effects of quark confinement/deconfinement phase transition, at high density regime and zero temperature, by…

High Energy Astrophysical Phenomena · Physics 2023-11-10 Isabella Marzola , Sérgio B. Duarte , César H. Lenzi , Odilon Lourenço

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

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

In this work we study the quark-meson model within a real-time formulation of the functional renormalization group (FRG) on the Schwinger-Keldysh contour. First, we discuss in detail the symmetry of thermal equilibrium for the fermionic…

High Energy Physics - Phenomenology · Physics 2025-03-28 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

We discuss a novel and simple parametrisation of the pion vector form factor that transparently connects spacelike and timelike regions of the momentum transfer $q^2$. Our parametrisation employs the framework of conformal mapping and…

High Energy Physics - Phenomenology · Physics 2025-02-12 Matthew Kirk , Bastian Kubis , Méril Reboud , Danny van Dyk

The usual renormalization procedure for the variational approximation with a trial Gaussian ansatz for the $\lap$ model in 3+1 dimensions is re-analysed as a departing framework for the investigation of the parameters of the model. The…

High Energy Physics - Phenomenology · Physics 2015-07-03 Fabio L. Braghin

The Quark Meson Coupling Model which describes nuclear matter as a collection of non-overlapping MIT bags interacting by the self-consistent exchange of scalar and vector mesons is used to study nuclear matter at finite temperature. In its…

Nuclear Theory · Physics 2009-10-31 I. Zakout , H. R. Jaqaman