scholarly journals Spontaneous and Controlled Macroscopic Chiral Symmetry Breaking by Means of Crystallization

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1796
Author(s):  
Gérard Coquerel ◽  
Marine Hoquante
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Operating Conditions ◽  
Temperature Cycle ◽  
Final State ◽  
Open Questions ◽  
The Impact ◽  
Kinetics Of ◽  
Influential Parameters

In this paper, macroscopic chiral symmetry breaking refers to as the process in which a mixture of enantiomers departs from 50–50 symmetry to favor one chirality, resulting in either a scalemic mixture or a pure enantiomer. In this domain, crystallization offers various possibilities, from the classical Viedma ripening or Temperature Cycle-Induced Deracemization to the famous Kondepudi experiment and then to so-called Preferential Enrichment. These processes, together with some variants, will be depicted in terms of thermodynamic pathways, departure from equilibrium and operating conditions. Influential parameters on the final state will be reviewed as well as the impact of kinetics of the R ⇔ S equilibrium in solution on chiral symmetry breaking. How one can control the outcome of symmetry breaking is examined. Several open questions are detailed and different interpretations are discussed.

Kinetics of chiral symmetry breaking in crystallization

1993 ◽  
Vol 115 (22) ◽  
pp. 10211-10216 ◽  
Author(s):  
Dilip K. Kondepudi ◽  
Kim L. Bullock ◽  
Jennifer A. Digits ◽  
John K. Hall ◽  
Jason M. Miller
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Kinetics Of

scholarly journals IMPACT OF DYNAMICAL CHIRAL SYMMETRY BREAKING ON MESON STRUCTURE AND INTERACTIONS

2011 ◽  
Vol 26 (03n04) ◽  
pp. 371-377 ◽  
Author(s):  
H. L. L. ROBERTS ◽  
L. CHANG ◽  
C. D. ROBERTS
Keyword(s):  
Form Factor ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Recent Progress ◽  
Chiral Symmetry Breaking ◽  
Pion Form Factor ◽  
Dynamical Chiral Symmetry Breaking ◽  
The Masses ◽  
The Impact

We provide a glimpse of recent progress in meson physics made via QCD's Dyson-Schwinger equations with: a perspective on confinement and dynamical chiral symmetry breaking (DCSB); a précis on the physics of in-hadron condensates; results for the masses of the π, σ, ρ, a1 mesons and their first-radial excitations; and an illustration of the impact of DCSB on the pion form factor.

scholarly journals The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Luis Albino ◽  
Adnan Bashir ◽  
Bruno El-Bennich ◽  
Eduardo Rojas ◽  
Fernando E. Serna ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Limit ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Coordinate Space ◽  
Scalar Form ◽  
Dynamical Chiral Symmetry Breaking ◽  
The Impact ◽  
Slavnov Taylor Identities

Abstract We extend earlier studies of transverse Ward-Fradkin-Green-Takahashi identities in QED, their usefulness to constrain the transverse fermion-boson vertex and their importance for multiplicative renormalizability, to the equivalent gauge identities in QCD. To this end, we consider transverse Slavnov-Taylor identities that constrain the transverse quark-gluon vertex and derive its eight associated scalar form factors. The complete vertex can be expressed in terms of the quark’s mass and wave-renormalization functions, the ghost-dressing function, the quark-ghost scattering amplitude and a set of eight form factors. The latter parametrize the hitherto unknown nonlocal tensor structure in the transverse Slavnov-Taylor identity which arises from the Fourier transform of a four-point function involving a Wilson line in coordinate space. We determine the functional form of these eight form factors with the constraints provided by the Bashir-Bermudez vertex and study the effects of this novel vertex on the quark in the Dyson-Schwinger equation using lattice QCD input for the gluon and ghost propagators. We observe significant dynamical chiral symmetry breaking and a mass gap that leads to a constituent mass of the order of 500 MeV for the light quarks. The flavor dependence of the mass and wave-renormalization functions as well as their analytic behavior on the complex momentum plane is studied and as an application we calculate the quark condensate and the pion’s weak decay constant in the chiral limit. Both are in very good agreement with their reference values.

scholarly journals A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 122
Author(s):  
Rudolf Golubich ◽  
Manfried Faber
Keyword(s):  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Vortex Model ◽  
Center Vortex ◽  
Vortex Detection

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

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

1D Mn(III) Coordination Polymers Exhibiting Chiral Symmetry Breaking and Weak Ferromagnetism

2021 ◽  
Author(s):  
Aoi Hara ◽  
Sotaro Kusumoto ◽  
Yoshihiro Sekine ◽  
Jack Harrowfield ◽  
Yang Kim ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Coordination Polymers ◽  
Chiral Symmetry Breaking ◽  
Weak Ferromagnetism ◽  
Chiral Ligands ◽  
One Dimensional

Mn(III) complexes with the non-chiral ligands, (E)-N-(2-((2-aminobenzylidene)amino)-2-methylpropyl)-5-X-2-hydroxybenzamide (HLX, X = H, Cl, Br, and I), crystallise as chiral conglomerates containing amide oxygen-bridged one-dimensional coordination polymers that exhibit weak ferromagnetism. The...

scholarly journals Chiral Symmetry Breaking during Crystallization: An Advection-Mediated Nonlinear Autocatalytic Process

2004 ◽  
Vol 93 (3) ◽  
Author(s):  
Julyan H. E. Cartwright ◽  
Juan Manuel García-Ruiz ◽  
Oreste Piro ◽  
C. Ignacio Sainz-Díaz ◽  
Idan Tuval
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Autocatalytic Process
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