Instantons and Quark-Mass Generation - The How of Spontaneous Chiral Symmetry Breaking

1979 ◽  
pp. 623-630
Author(s):  
D. G. Caldi
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Mass Generation ◽  
Spontaneous Chiral Symmetry Breaking

scholarly journals Alternative Scheme of Spontaneous Chiral Symmetry Breaking

1986 ◽  
Vol 39 (3) ◽  
pp. 347 ◽  
Author(s):  
GA Christos
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Alternative Scheme ◽  
Goldstone Bosons ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Mass Ratios ◽  
Usual Scheme

We develop an alternative scheme of spontaneous chiral symmetry breaking which is characterized by four-quark condensates instead of (7jq),*O. In this scheme the Nambu-Goldstone bosons acquire a mass squared - m~uark' in comparison with mquark in the usual scheme. The quark mass ratios and the parameters of the scheme are determined by an application to the pseudoscalar nonet spectrum (including 'lT0_'Yj_'Yj' mixing). The decays Iji -+('lT0 , 'Yj, 'Yj}y and Iji' -+ 1ji('lT0 , 'Yj) are also considered. The results do not promote the alternative scheme.

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.

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