scholarly journals Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons

2010 ◽  
Vol 82 (1) ◽  
Author(s):  
Susanna Gallas ◽  
Francesco Giacosa ◽  
Dirk H. Rischke
Keyword(s):  
Sigma Model ◽  
Linear Sigma Model ◽  
Vector Mesons ◽  
Chiral Partner

scholarly journals Glueball in a chiral linear sigma model with vector mesons

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
Stanislaus Janowski ◽  
Denis Parganlija ◽  
Francesco Giacosa ◽  
Dirk H. Rischke
Keyword(s):  
Sigma Model ◽  
Linear Sigma Model ◽  
Vector Mesons

scholarly journals Degeneracy Patterns of Chiral Companions at Finite Temperature

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1400
Author(s):  
Juan M. Torres-Rincon
Keyword(s):  
Chiral Symmetry ◽  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Sigma Model ◽  
Smooth Transition ◽  
Linear Sigma Model ◽  
Spontaneous Breaking ◽  
Low Energies ◽  
Effective Theories ◽  
Chiral Partner

Chiral symmetry represents a fundamental concept lying at the core of particle and nuclear physics. Its spontaneous breaking in vacuum can be exploited to distinguish chiral hadronic partners, whose masses differ. In fact, the features of this breaking serve as guiding principles for the construction of effective approaches of QCD at low energies, e.g., the chiral perturbation theory, the linear sigma model, the (Polyakov)–Nambu–Jona-Lasinio model, etc. At high temperatures/densities chiral symmetry can be restored bringing the chiral partners to be nearly degenerated in mass. At vanishing baryochemical potential, such restoration follows a smooth transition, and the chiral companions reach this degeneration above the transition temperature. In this work I review how different realizations of chiral partner degeneracy arise in different effective theories/models of QCD. I distinguish the cases where the chiral states are either fundamental degrees of freedom or (dynamically-generated) composed states. In particular, I discuss the intriguing case in which chiral symmetry restoration involves more than two chiral partners, recently addressed in the literature.

scholarly journals PION-NUCLEON SCATTERING WITHIN A GAUGED LINEAR SIGMA MODEL WITH PARITY-DOUBLED NUCLEONS

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2388-2393 ◽  
Author(s):  
SUSANNA WILMS ◽  
FRANCESCO GIACOSA ◽  
DIRK H. RISCHKE
Keyword(s):  
Sigma Model ◽  
Chiral Condensate ◽  
Linear Sigma Model ◽  
Tree Level ◽  
Model Parameters ◽  
Nucleon Scattering ◽  
Pion Nucleon ◽  
Scattering Lengths ◽  
Chiral Partner ◽  
Gauged Linear Sigma Model

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main contribution to the nucleon mass comes from the chiral condensate or from the mixing with its chiral partner. We find that there seems to be no set of model parameters that allows for a simultaneous description of all experimentally measured scattering lengths and range parameters. This indicates the need to improve the dynamical ingredients of the model.

scholarly journals Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons

2013 ◽  
Vol 87 (1) ◽  
Author(s):  
D. Parganlija ◽  
P. Kovács ◽  
Gy. Wolf ◽  
F. Giacosa ◽  
D. H. Rischke
Keyword(s):  
Sigma Model ◽  
Axial Vector ◽  
Linear Sigma Model ◽  
Vector Mesons

scholarly journals A LINEAR SIGMA MODEL WITH THREE FLAVORS AND VECTOR AND AXIAL-VECTOR MESONS

2011 ◽  
Vol 26 (03n04) ◽  
pp. 607-609 ◽  
Author(s):  
DENIS PARGANLIJA ◽  
FRANCESCO GIACOSA ◽  
DIRK H. RISCHKE ◽  
PÉTER KOVÁCS ◽  
GYŐRGY WOLF
Keyword(s):  
Degrees Of Freedom ◽  
Sigma Model ◽  
Scalar Meson ◽  
Axial Vector ◽  
Linear Sigma Model ◽  
Vector Mesons ◽  
Preliminary Results

We outline the extension of the globally chirally invariant Nf = 2 linear sigma model with vector and axial-vector degrees of freedom to Nf = 3. We present preliminary results concerning the scalar meson masses.

scholarly journals Scalar mesons in a linear sigma model with (axial-)vector mesons

2013 ◽  
Author(s):  
D. Parganlija ◽  
P. Kovács ◽  
Gy. Wolf ◽  
F. Giacosa ◽  
D. H. Rischke
Keyword(s):  
Sigma Model ◽  
Axial Vector ◽  
Linear Sigma Model ◽  
Vector Mesons ◽  
Scalar Mesons
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