RELATIVISTIC HYDRODYNAMICS WITH SPONTANEOUS CHIRAL SYMMETRY BREAKING

2003 ◽  
Vol 12 (05) ◽  
pp. 675-681
Author(s):  
SUN ZHANG ◽  
FAN WANG
Keyword(s):  
Phase Transition ◽  
Dispersion Relation ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Hydrodynamic Equation ◽  
Chiral Symmetry Breaking ◽  
Relativistic Hydrodynamics ◽  
Pion Condensation ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Background State

We study the hydrodynamics of the nuclear matter of two flavors of light quarks with spontaneous chiral symmetry breaking based on the Poisson bracket method. The effects of mass are included and the full hydrodynamic equation for pions is given. The in-medium dispersion relation of pions in the neutron rich background state and the possibility of the phase transition to pion condensation are also discussed.

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

A MONTE CARLO STUDY OF SPONTANEOUS CHIRAL SYMMETRY BREAKING IN LATTICE GAUGE THEORIES

1986 ◽  
Vol 01 (04) ◽  
pp. 953-969
Author(s):  
N.S. CRAIGIE ◽  
E. KATZNELSON ◽  
S. MAHMOOD
Keyword(s):  
Monte Carlo ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Correlation Functions ◽  
Short Distance ◽  
Chiral Symmetry Breaking ◽  
Monte Carlo Study ◽  
Small Mass ◽  
Theoretical Problem ◽  
Spontaneous Chiral Symmetry Breaking

Spontaneous chiral symmetry breaking in lattice QCD is studied by calculating special four fermion correlation functions using the Monte Carlo method. In the continuum theory in the limit of short distance and small mass these functions are related to the order parameter [Formula: see text]. We found a range of quark mass for which the predicted relations approximately hold, using the Susskind formulation of fermions. However, we encountered a theoretical problem in the latter formulation concerning the short distance behavior of the correlation functions of different spin and flavor. This may cast some doubt on the interpretation of spin and flavor in this formulation.

scholarly journals CHIRAL DYNAMICS IN NUCLEONS AND NUCLEI

1995 ◽  
Vol 04 (02) ◽  
pp. 193-344 ◽  
Author(s):  
V. BERNARD ◽  
N. KAISER ◽  
ULF-G. MEIßNER
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Spontaneous Chiral Symmetry Breaking

We review the implications of the spontaneous chiral symmetry breaking in QCD for processes involving one, two, or more nucleons.

Strong evidence for spontaneous chiral symmetry breaking in (quenched) QCD

1984 ◽  
Vol 136 (1-2) ◽  
pp. 80-86 ◽  
Author(s):  
I.M. Barbour ◽  
P. Gibbs ◽  
J.P. Gilchrist ◽  
H. Schneider ◽  
G. Schierholz ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Strong Evidence ◽  
Chiral Symmetry Breaking ◽  
Spontaneous Chiral Symmetry Breaking

scholarly journals Chiral Symmetry Breaking Phenomenon Caused by a Phase Transition

Symmetry ◽  
2010 ◽  
Vol 2 (1) ◽  
pp. 112-135 ◽  
Author(s):  
Rui Tamura ◽  
Sekai Iwama ◽  
Hiroki Takahashi
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking
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