Quark self-energy in a truncated bag model: Study of high-order effects in perturbative QCD

1993 ◽  
Vol 47 (9) ◽  
pp. 4102-4113
Author(s):  
Thomas Sotirelis
2003 ◽  
Vol 29 (9) ◽  
pp. 2207-2226 ◽  
Author(s):  
I T Obukhovsky ◽  
V I Kukulin ◽  
Murat M Kaskulov ◽  
Peter Grabmayr ◽  
Amand Faessler

2021 ◽  
Author(s):  
Lida Safaei ◽  
Mohsen Hatami ◽  
Mahmood Borhani Zarandi

Abstract In this paper, we analytically solve the coupled equations of a PT -Symmetric NLDC by considering high-order dispersion and nonlinear effects (Raman Scattering and self-steeping) simultaneously in normal dispersion regime. To the best of knowledge no works has been done in previous studies to decoupled these equations and obtain an exact analytical solution. The new exact bright solitary solutions are derived. In addition, to study the stability and instability of these propagated solitons in a PT -Symmetric NLDC, perturbation theory is used. Numerical methods are applied to find perturbed eigenvalues and eigenfunctions. The Stability of obtained four perturbed eigenvalues and perturbed eigenfunctions for a PT -Symmetric NLDC equations regard to high-order effects are examined. Using these results and simulating the propagation of perturbed temporal bright solitons through PT -Symmetric NLDC show that perturbed solitons are mostly stable. This means that high-order dispersion and nonlinear effects canceled each other and do not affected the propagated solitons. Furthermore, the evolution of perturbed solitons energies match well the previous results and con rmed the stability of these solitons in a PT -Symmetric NLDC. As seen the energies of pulses in bar and cross behave in two manner 1) the exchange of energy is happened in some periods, but the shape of each pulse in bar and cross is preserved. Therefore, the solitons under this eigenfunction perturbation are mostly stable. 2) the evolution of energy in the bar and cross, demonstrate that there is no changes in their energies and they remain constant. It is straightforward to show that in spite of considering high-order effects, the perturbed soliton conserve the shape and it remain stable. The deliverables of this article not only demonstrate a novel approach to ultra-fast pulses, solitons and optical couplers, but more fundamentally, they could give insight for improving the new medical equipments technologies, enabling innovations in nonlinear optics and their usage in designing new communication systems and Photonic devices.


1988 ◽  
Vol 205 (2-3) ◽  
pp. 128-134 ◽  
Author(s):  
Kazuo Tsushima ◽  
Tetsuya Yamaguchi ◽  
Makoto Takizawa ◽  
Y. Kohyama ◽  
K. Kubodera

1984 ◽  
Vol 30 (11) ◽  
pp. 2426-2428
Author(s):  
Morihiro Kadoya ◽  
Tadashi Miyazaki
Keyword(s):  

1984 ◽  
Vol 3 (2) ◽  
pp. 231-244 ◽  
Author(s):  
X.H. Yang ◽  
A.K. Kerman
Keyword(s):  

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Hua Zhou ◽  
Qing Yu ◽  
Xu-Dong Huang ◽  
Xu-Chang Zheng ◽  
Xing-Gang Wu

AbstractIn this paper, we present a new analysis on the P-wave charmonium annihilation into two photons up to next-to-next-to-leading order (NNLO) QCD corrections by using the principle of maximum conformality (PMC). The conventional perturbative QCD prediction shows strong scale dependence and deviates largely from the BESIII measurements. After applying the PMC, we obtain a more precise scale-invariant pQCD prediction, which also agrees with the BESIII measurements within errors, i.e. $$R={\Gamma _{\gamma \gamma }(\chi _{c2})} /{\Gamma _{\gamma \gamma }(\chi _{c0})}=0.246\pm 0.013$$ R = Γ γ γ ( χ c 2 ) / Γ γ γ ( χ c 0 ) = 0.246 ± 0.013 , where the error is for $$\Delta \alpha _s(M_\tau )=\pm 0.016$$ Δ α s ( M τ ) = ± 0.016 . By further considering the color-octet contributions, even the central value can be in agreement with the data. This shows the importance of a correct scale-setting approach. We also give a prediction for the ratio involving $$\chi _{b0, b2} \rightarrow \gamma \gamma $$ χ b 0 , b 2 → γ γ , which could be tested in future Belle II experiment.


2018 ◽  
Author(s):  
Alicia Sanchez-Gorostiaga ◽  
Djordje Bajić ◽  
Melisa L. Osborne ◽  
Juan F. Poyatos ◽  
Alvaro Sanchez

AbstractUnderstanding the link between community composition and function is a major challenge in microbial ecology, with implications for the management of natural microbiomes and the design of synthetic consortia. For this purpose, it is critical to understand the extent to which community functions and properties can be predicted from species traits and what role is played by complex interactions. Inspired by the study of complex genetic interactions and fitness landscapes, here we have examined how the amylolytic function of combinatorial assemblages of seven starch-degrading soil bacteria depends on the functional contributions from each species and their interactions. Filtering our experimental results through the theory of enzyme kinetics, we show that high-order functional interactions dominate the amylolytic rate of our consortia, even though this function is biochemically simple, redundantly distributed in the community, and additive in the absence of inter-species interactions. As the community grows in size, the contribution of high-order functional interactions grows too, making the community function increasingly unpredictable. We can explain the prevalence of high order effects and their sign from the redundancy of ecological interactions in the network, in particular from redundant facilitation towards a high-performing community member. Our results suggest that even simple functions can be dominated by complex interactions, posing challenges for the predictability and bottom-up engineering of ecosystem function in complex multi-species communities.


2019 ◽  
Vol 120 ◽  
pp. 105699
Author(s):  
Yangbao Deng ◽  
Bing Wen ◽  
Shuguang Deng ◽  
Guangfu Zhang ◽  
Xiquan Fu

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