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Douglas E Wertepny - One of the best experts on this subject based on the ideXlab platform.
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regularization of the light cone gauge gluon propagator singularities using sub gauge conditions
Journal of High Energy Physics, 2015Co-Authors: Giovanni A Chirilli, Yuri V Kovchegov, Douglas E WertepnyAbstract:Author(s): Chirilli, GA; Kovchegov, YV; Wertepny, DE | Abstract: © 2015, The Author(s). Abstract: Perturbative QCD Calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral Calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a Sample Calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
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regularization of the light cone gauge gluon propagator singularities using sub gauge conditions
arXiv: High Energy Physics - Phenomenology, 2015Co-Authors: Giovanni A Chirilli, Yuri V Kovchegov, Douglas E WertepnyAbstract:Perturbative QCD Calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral Calculation of the gluon propagator, we rederive the known sub-gauge conditions for the theta-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator's light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a Sample Calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
Giovanni A Chirilli - One of the best experts on this subject based on the ideXlab platform.
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regularization of the light cone gauge gluon propagator singularities using sub gauge conditions
Journal of High Energy Physics, 2015Co-Authors: Giovanni A Chirilli, Yuri V Kovchegov, Douglas E WertepnyAbstract:Author(s): Chirilli, GA; Kovchegov, YV; Wertepny, DE | Abstract: © 2015, The Author(s). Abstract: Perturbative QCD Calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral Calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a Sample Calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
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regularization of the light cone gauge gluon propagator singularities using sub gauge conditions
arXiv: High Energy Physics - Phenomenology, 2015Co-Authors: Giovanni A Chirilli, Yuri V Kovchegov, Douglas E WertepnyAbstract:Perturbative QCD Calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral Calculation of the gluon propagator, we rederive the known sub-gauge conditions for the theta-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator's light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a Sample Calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
Yuri V Kovchegov - One of the best experts on this subject based on the ideXlab platform.
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regularization of the light cone gauge gluon propagator singularities using sub gauge conditions
Journal of High Energy Physics, 2015Co-Authors: Giovanni A Chirilli, Yuri V Kovchegov, Douglas E WertepnyAbstract:Author(s): Chirilli, GA; Kovchegov, YV; Wertepny, DE | Abstract: © 2015, The Author(s). Abstract: Perturbative QCD Calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral Calculation of the gluon propagator, we rederive the known sub-gauge conditions for the θ-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator’s light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a Sample Calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
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regularization of the light cone gauge gluon propagator singularities using sub gauge conditions
arXiv: High Energy Physics - Phenomenology, 2015Co-Authors: Giovanni A Chirilli, Yuri V Kovchegov, Douglas E WertepnyAbstract:Perturbative QCD Calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge corresponding to several known ways of regulating the gluon propagator. Using the functional integral Calculation of the gluon propagator, we rederive the known sub-gauge conditions for the theta-function gauges and identify the sub-gauge condition for the principal value (PV) regularization of the gluon propagator's light-cone poles. The obtained sub-gauge condition for the PV case is further verified by a Sample Calculation of the classical Yang-Mills field of two collinear ultrarelativistic point color charges. Our method does not allow one to construct a sub-gauge condition corresponding to the well-known Mandelstam-Leibbrandt prescription for regulating the gluon propagator poles.
Verhaegen M.h.g. - One of the best experts on this subject based on the ideXlab platform.
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Fast Calculation of Computer Generated Holograms for 3D Photostimulation through Compressive-Sensing Gerchberg–Saxton Algorithm
2019Co-Authors: Pozzi P., Maddalena L., Ceffa N.g., Soloviev O.a., Vdovine Gleb, Carroll E.c.m., Verhaegen M.h.g.Abstract:The use of spatial light modulators to project computer generated holograms is a common strategy for optogenetic stimulation of multiple structures of interest within a three-dimensional volume. A common requirement when addressing multiple targets sparsely distributed in three dimensions is the generation of a points cloud, focusing excitation light in multiple diffraction-limited locations throughout the Sample. Calculation of this type of holograms is most commonly performed with either the high-speed, low-performance random superposition algorithm, or the low-speed, high performance Gerchberg–Saxton algorithm. This paper presents a variation of the Gerchberg–Saxton algorithm that, by only performing iterations on a subset of the data, according to compressive sensing principles, is rendered significantly faster while maintaining high quality outputs. The algorithm is presented in high-efficiency and high-uniformity variants. All source code for the method implementation is available as Supplementary Materials and as open-source software. The method was tested computationally against existing algorithms, and the results were confirmed experimentally on a custom setup for in-vivo multiphoton optogenetics. The results clearly show that the proposed method can achieve computational speed performances close to the random superposition algorithm, while retaining the high performance of the Gerchberg–Saxton algorithm, with a minimal hologram quality los
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Fast Calculation of Computer Generated Holograms for 3D Photostimulation through Compressive-Sensing Gerchberg–Saxton Algorithm
'MDPI AG', 2019Co-Authors: Pozzi P., Maddalena L., Ceffa N.g., Soloviev O.a., Vdovine Gleb, Carroll E.c.m., Verhaegen M.h.g.Abstract:The use of spatial light modulators to project computer generated holograms is a common strategy for optogenetic stimulation of multiple structures of interest within a three-dimensional volume. A common requirement when addressing multiple targets sparsely distributed in three dimensions is the generation of a points cloud, focusing excitation light in multiple diffraction-limited locations throughout the Sample. Calculation of this type of holograms is most commonly performed with either the high-speed, low-performance random superposition algorithm, or the low-speed, high performance Gerchberg–Saxton algorithm. This paper presents a variation of the Gerchberg–Saxton algorithm that, by only performing iterations on a subset of the data, according to compressive sensing principles, is rendered significantly faster while maintaining high quality outputs. The algorithm is presented in high-efficiency and high-uniformity variants. All source code for the method implementation is available as Supplementary Materials and as open-source software. The method was tested computationally against existing algorithms, and the results were confirmed experimentally on a custom setup for in-vivo multiphoton optogenetics. The results clearly show that the proposed method can achieve computational speed performances close to the random superposition algorithm, while retaining the high performance of the Gerchberg–Saxton algorithm, with a minimal hologram quality lossNumerics for Control & IdentificationImPhys/Charged Particle Optic
An Ikan - One of the best experts on this subject based on the ideXlab platform.
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euler savari determination of radii of curvature of cycloid profiles
Russian Engineering Research, 2010Co-Authors: E A Efremenkov, An IkanAbstract:The radius of curvature of a cycloid tooth profile is determined on the basis of the Euler-Savari theorem, without using profile equations. The formulas obtained may be used to determine radii of curvature of other cycloid couplings in which one of the contact profiles is a circle. A Sample Calculation is presented.
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euler savari determination of radii of curvature of cycloid profiles
Russian Engineering Research, 2010Co-Authors: E A Efremenkov, An IkanAbstract:The radius of curvature of a cycloid tooth profile is determined on the basis of the Euler-Savari theorem, without using profile equations. The formulas obtained may be used to determine radii of curvature of other cycloid couplings in which one of the contact profiles is a circle. A Sample Calculation is presented.
