scholarly journals Fierz-complete NJL model study. II. Toward the fixed-point and phase structure of hot and dense two-flavor QCD

2018 ◽  
Vol 97 (7) ◽  
Author(s):  
Jens Braun ◽  
Marc Leonhardt ◽  
Martin Pospiech
Keyword(s):  
Fixed Point ◽  
Phase Structure ◽  
Njl Model ◽  
Model Study

scholarly journals Phase structure of NJL model with weak renormalization group

2018 ◽  
Vol 931 ◽  
pp. 105-131 ◽  
Author(s):  
Ken-Ichi Aoki ◽  
Shin-Ichiro Kumamoto ◽  
Masatoshi Yamada
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Njl Model

YUKAWA MODEL IN CURVED SPACETIME

1995 ◽  
Vol 10 (15n16) ◽  
pp. 1091-1100
Author(s):  
E. ELIZALDE ◽  
S.D. ODINTSOV
Keyword(s):  
Fixed Point ◽  
Conformal Factor ◽  
Bound State ◽  
Usual Sense ◽  
Stable Fixed Point ◽  
Coupling Constant ◽  
Yukawa Model ◽  
Curved Spacetime ◽  
Cosmological Constant Problem ◽  
Njl Model

The Yukawa model in curved spacetime (renormalizable in the usual sense) is considered near the critical point, using the 1/N-expansion and renormalization group techniques. The equivalence of this model with the standard NJL model is proven. The behavior of the graviton-scalar bound state coupling constant near the ir stable fixed point ξ=1/6 is discussed. The effective potential is calculated and a dynamically generated fermionic mass is found. Some applications to quantum gravity which make explicit use of the 1/N-expansion are briefly discussed. In particular, a possible solution of the cosmological constant problem within the framework of conformal factor dynamics is pointed out.

scholarly journals Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Jens Braun ◽  
Marc Leonhardt ◽  
Martin Pospiech
Keyword(s):  
Njl Model ◽  
Model Study

PHASE STRUCTURE OF QCD-LIKE GAUGE THEORIES PLUS FOUR-FERMION INTERACTIONS

1991 ◽  
Vol 06 (37) ◽  
pp. 3385-3396 ◽  
Author(s):  
KEI-ICHI KONDO ◽  
SUSUMU SHUTO ◽  
KOICHI YAMAWAKI
Keyword(s):  
Fixed Point ◽  
Phase Structure ◽  
Gauge Theories ◽  
Anomalous Dimension ◽  
Gauge Coupling ◽  
Continuum Theory ◽  
Dyson Equation ◽  
The Other ◽  
Logarithmic Corrections ◽  
Gauge Interaction

We investigate the phase structure of (QCD-like) gauged Nambu-Jona-Lasinio model (QCD-like gauge theories plus four-fermion interactions) based on the ladder Schwinger-Dyson equation with one-loop running gauge coupling. Through analytical and numerial studies, we establish two-fixed points structure, one with a large anomalous dimension γm ≃ 2 and the other with a small one γm ≃ 0. We further obtain the power critical exponents through the equation of state, which, as they stand, imply that the former fixed point is a Gaussian fixed point. We emphasize that logarithmic corrections due to the gauge interaction is crucial to obtaining an interacting continuum theory at this fixed point.

Renormalization of the conformally reduced gravity with bilocal potential

2020 ◽  
Vol 35 (22) ◽  
pp. 2050123
Author(s):  
Flóra Gégény ◽  
Sándor Nagy
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Phase Structure ◽  
Anomalous Dimension ◽  
Reduced Gravity ◽  
Functional Renormalization Group ◽  
Renormalization Group Equations ◽  
Non Gaussian

The functional renormalization group equations are derived for the conformally reduced gravity, in the framework of the Wegner–Houghton equation. It is argued, that the blocking introduces bilocal terms into the action, which can account for the evolution of the anomalous dimension. The phase structure exhibits the known structure including an ultraviolet attractive non-Gaussian fixed point.

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