scholarly journals Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Katsumasa Nakayama ◽  
Hidenori Fukaya ◽  
Shoji Hashimoto
Keyword(s):  
Eigenvalue Density ◽  
Perturbative Regime ◽  
Lattice Computation

scholarly journals Highly efficient THz four-wave mixing in doped silicon

2021 ◽  
Vol 10 (1) ◽  
Author(s):  
Nils Dessmann ◽  
Nguyen H. Le ◽  
Viktoria Eless ◽  
Steven Chick ◽  
Kamyar Saeedi ◽  
...  
Keyword(s):  
Four Wave Mixing ◽  
Wave Mixing ◽  
Optical Nonlinearities ◽  
Third Order ◽  
Picosecond Pulses ◽  
Light Pulses ◽  
A Value ◽  
Doped Silicon ◽  
Perturbative Regime ◽  
Silicon Doped

AbstractThird-order non-linearities are important because they allow control over light pulses in ubiquitous high-quality centro-symmetric materials like silicon and silica. Degenerate four-wave mixing provides a direct measure of the third-order non-linear sheet susceptibility χ(3)L (where L represents the material thickness) as well as technological possibilities such as optically gated detection and emission of photons. Using picosecond pulses from a free electron laser, we show that silicon doped with P or Bi has a value of χ(3)L in the THz domain that is higher than that reported for any other material in any wavelength band. The immediate implication of our results is the efficient generation of intense coherent THz light via upconversion (also a χ(3) process), and they open the door to exploitation of non-degenerate mixing and optical nonlinearities beyond the perturbative regime.

scholarly journals AN ALGORITHMIC APPROACH TO QUANTUM FIELD THEORY

2006 ◽  
Vol 21 (03) ◽  
pp. 405-447 ◽  
Author(s):  
MASSIMO DI PIERRO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integral ◽  
Gauge Theories ◽  
Quantum Field ◽  
Algorithmic Approach ◽  
Main Emphasis ◽  
Lattice Computation ◽  
Theoretical Foundations ◽  
Minimal Residual

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper, we review the theoretical foundations and the most basic algorithms required to implement a typical lattice computation, including the Metropolis, the Gibbs sampling, the Minimal Residual, and the Stabilized Biconjugate inverters. The main emphasis is on gauge theories with fermions such as QCD. We also provide examples of typical results from lattice QCD computations for quantities of phenomenological interest.

Topologically massive chromodynamics in the perturbative regime

1985 ◽  
Vol 32 (8) ◽  
pp. 2081-2096 ◽  
Author(s):  
Robert D. Pisarski ◽  
Sumathi Rao
Keyword(s):  
Perturbative Regime

scholarly journals Eigenvalue density of the doubly correlated Wishart model: exact results

2015 ◽  
Vol 48 (17) ◽  
pp. 175204 ◽  
Author(s):  
Daniel Waltner ◽  
Tim Wirtz ◽  
Thomas Guhr
Keyword(s):  
Exact Results ◽  
Eigenvalue Density

scholarly journals On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Lung-Hui Chen
Keyword(s):  
Density Function ◽  
Functional Derivative ◽  
Index Of Refraction ◽  
Velocity Variation ◽  
Transmission Spectra ◽  
Motion Velocity ◽  
Translation Invariant ◽  
Eigenvalue Density ◽  
Position Variable ◽  
Invariant Properties

We study the translation invariant properties of the eigenvalues of scattering transmission problem. We examine the functional derivative of the eigenvalue density function Δ(x^) to the defining index of refraction n(x). By the limit behaviors in frequency sphere, we prove some results on the inverse uniqueness of index of refraction. In physics, Doppler’s effect connects the variation of the frequency/eigenvalue and the motion velocity/variation of position variable. In this paper, we proved the functional derivative ∂rΔx^=(1+nrx^)/π.

scholarly journals Future Measurements of the Nucleon Elastic Electromagnetic Form Factors at Jefferson Lab

2018 ◽  
Vol 172 ◽  
pp. 02004 ◽  
Author(s):  
Gerard Gilfoyle
Keyword(s):  
United States ◽  
Electron Beam ◽  
Form Factors ◽  
The United States ◽  
Precision Measurements ◽  
Electromagnetic Form Factors ◽  
Jefferson Lab ◽  
Atomic Nuclei ◽  
Perturbative Regime ◽  
Nucleon Form Factors

The elastic, electromagnetic form factors are fundamental observables that describe the internal structure of protons, neutrons, and atomic nuclei. Jefferson Lab in the United States has completed the 12 GeV Upgrade that will open new opportunities to study the form factors. A campaign to measure all four nucleon form factors (electric and magnetic ones for both proton and neutron) has been approved consisting of seven experiments in Halls A, B, and C. The increased energy of the electron beam will extend the range of precision measurements to higher Q2 for all four form factors together. This combination of measurements will allow for the decomposition of the results into their quark components and guide the development of a QCD-based understanding of nuclei in the non-perturbative regime. I will present more details on the 12 GeV Upgrade, the methods used to measure the form factors, and what we may learn.

Diffusion onGL(N,C)/U(N)and Eigenvalue Density forN→∞Limit

1998 ◽  
Vol 67 (2) ◽  
pp. 421-425
Author(s):  
Toshinao Akuzawa ◽  
Miki Wadati
Keyword(s):  
Eigenvalue Density
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