Hidden symmetry of the Landau-Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field

1987 ◽  
Vol 70 (1) ◽  
pp. 11-19 ◽  
Author(s):  
P. I. Holod
Keyword(s):  
Chiral Field ◽  
Dual Equation ◽  
Lifshitz Equation ◽  
Hidden Symmetry

scholarly journals POSSIBILITY OF FORMING A LARGE DCC IN ULTRA-RELATIVISTIC HEAVY-ION COLLISIONS

2000 ◽  
Vol 15 (15) ◽  
pp. 2269-2288
Author(s):  
SANATAN DIGAL ◽  
RAJARSHI RAY ◽  
SUPRATIM SENGUPTA ◽  
AJIT M. SRIVASTAVA
Keyword(s):  
Three Dimensional ◽  
Thermal Fluctuations ◽  
Heavy Ion ◽  
High Energy ◽  
Chiral Condensate ◽  
Relativistic Heavy Ion Collisions ◽  
Maximum Temperature ◽  
Chiral Field ◽  
Heavy Nuclei ◽  
True Vacuum

We demonstrate the possibility of forming a single, large domain of disoriented chiral condensate (DCC) in a heavy-ion collision. In our scenario, rapid initial heating of the parton system provides a driving force for the chiral field, moving it away from the true vacuum and forcing it to go to the opposite point on the vacuum manifold. This converts the entire hot region into a single DCC domain. Subsequent rolling down of the chiral field to its true vacuum will then lead to emission of a large number of (approximately) coherent pions. The requirement of suppression of thermal fluctuations to maintain the (approximate) coherence of such a large DCC domain, favors three-dimensional expansion of the plasma over the longitudinal expansion even at very early stages of evolution. This also constrains the maximum temperature of the system to lie within a window. We roughly estimate this window to be about 200–400 MeV. These results lead us to predict that extremely high energy collisions of very small nuclei (possibly hadrons) are better suited for observing signatures of a large DCC. Another possibility is to focus on peripheral collisions of heavy nuclei.

scholarly journals An $$ \mathcal{N} $$ = 1 Lagrangian for an $$ \mathcal{N} $$ = 3 SCFT

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gabi Zafrir
Keyword(s):  
Gauge Theory ◽  
Chiral Field ◽  
Coulomb Branch ◽  
Superconformal Symmetry ◽  
Marginal Deformations ◽  
Marginal Deformation

Abstract We propose that a certain 4d$$ \mathcal{N} $$ N = 1 SU(2) × SU(2) gauge theory flows in the IR to an $$ \mathcal{N} $$ N = 3 SCFT plus a single free chiral field. The specific $$ \mathcal{N} $$ N = 3 SCFT has rank 1 and a dimension three Coulomb branch operator. The flow is generically expected to land at the $$ \mathcal{N} $$ N = 3 SCFT deformed by the marginal deformation associated with said Coulomb branch operator. We also present a discussion about the properties expected of various RG invariant quantities from $$ \mathcal{N} $$ N = 3 superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another $$ \mathcal{N} $$ N = 1 model that we propose is related to a certain rank 3 $$ \mathcal{N} $$ N = 3 SCFT through the turning of certain marginal deformations.

scholarly journals Selection of a stochastic Landau-Lifshitz equation and the stochastic persistence problem

2019 ◽  
Vol 60 (8) ◽  
pp. 083512
Author(s):  
Jacky Cresson ◽  
Yasmina Kheloufi ◽  
Khadra Nachi ◽  
Frederic Pierret
Keyword(s):  
Lifshitz Equation ◽  
Selection Of

scholarly journals All-dielectric chiral-field-enhanced Raman optical activity

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Ting-Hui Xiao ◽  
Zhenzhou Cheng ◽  
Zhenyi Luo ◽  
Akihiro Isozaki ◽  
Kotaro Hiramatsu ◽  
...  
Keyword(s):  
Optical Activity ◽  
Metallic Nanoparticles ◽  
Near Field ◽  
Localized Surface Plasmon ◽  
Chiral Field ◽  
Resonance Spectroscopy ◽  
Conformational Structure ◽  
Dark Mode ◽  
Spontaneous Raman Scattering ◽  
Raman Optical Activity

AbstractRaman optical activity (ROA) is effective for studying the conformational structure and behavior of chiral molecules in aqueous solutions and is advantageous over X-ray crystallography and nuclear magnetic resonance spectroscopy in sample preparation and cost performance. However, ROA signals are inherently minuscule; 3–5 orders of magnitude weaker than spontaneous Raman scattering due to the weak chiral light–matter interaction. Localized surface plasmon resonance on metallic nanoparticles has been employed to enhance ROA signals, but suffers from detrimental spectral artifacts due to its photothermal heat generation and inability to efficiently transfer and enhance optical chirality from the far field to the near field. Here we demonstrate all-dielectric chiral-field-enhanced ROA by devising a silicon nanodisk array and exploiting its dark mode to overcome these limitations. Specifically, we use it with pairs of chemical and biological enantiomers to show >100x enhanced chiral light–molecule interaction with negligible artifacts for ROA measurements.

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