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Leonardo Giusti - One of the best experts on this subject based on the ideXlab platform.
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non gaussianities in the topological Charge Distribution of the su 3 yang mills theory
Physical Review D, 2015Co-Authors: Marco Ce, Cristian Consonni, Georg P. Engel, Leonardo GiustiAbstract:We study the topological Charge Distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo simulations by implementing a naive discretization of the topological Charge evolved with the Yang--Mills gradient flow. This definition is far less demanding than the one suggested from Neuberger's fermions and, as shown in this paper, in the continuum limit its cumulants coincide with those of the universal definition appearing in the chiral Ward identities. Thanks to the range of lattice volumes and spacings considered, we can extrapolate the results for the second and fourth cumulant of the topological Charge Distribution to the continuum limit with confidence by keeping finite volume effects negligible with respect to the statistical errors. Our best results for the topological susceptibility is t_0^2*chi=6.67(7)*10^-4, where t_0 is a standard reference scale, while for the ratio of the forth cumulant over the second we obtain R=0.233(45). The latter is compatible with the expectations from the large Nc expansion, while it rules out the theta-behavior of the vacuum energy predicted by the dilute instanton model. Its large distance from 1 implies that, in the ensemble of gauge configurations that dominate the path integral, the fluctuations of the topological Charge are of quantum non-perturbative nature.
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non gaussianities in the topological Charge Distribution of the su 3 yang mills theory
Physical Review D, 2015Co-Authors: Cristian Consonni, Georg P. Engel, Leonardo GiustiAbstract:We study the topological Charge Distribution of the SU(3) Yang-Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo simulations by implementing a naive discretization of the topological Charge evolved with the Yang-Mills gradient flow. This definition is far less demanding than the one suggested from Neuberger's fermions and, as shown in this paper, in the continuum limit its cumulants coincide with those of the universal definition appearing in the chiral Ward identities. Thanks to the range of lattice volumes and spacings considered, we can extrapolate the results for the second and fourth cumulant of the topological Charge Distribution to the continuum limit with confidence by keeping finite volume effects negligible with respect to the statistical errors. Our best results for the topological susceptibility is ${t}_{0}^{2}\ensuremath{\chi}=6.67(7)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}4}$, where ${t}_{0}$ is a standard reference scale, while for the ratio of the fourth cumulant over the second, we obtain $R=0.233(45)$. The latter is compatible with the expectations from the large ${N}_{c}$ expansion, while it rules out the $\ensuremath{\theta}$ behavior of the vacuum energy predicted by the dilute instanton model. Its large distance from 1 implies that, in the ensemble of gauge configurations that dominate the path integral, the fluctuations of the topological Charge are of quantum nonperturbative nature.
Jun Sung Kim - One of the best experts on this subject based on the ideXlab platform.
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microscopic mechanism for asymmetric Charge Distribution in rashba type surface states and the origin of the energy splitting scale
Physical Review B, 2013Co-Authors: Beomyoung Kim, Panjin Kim, Wonsig Jung, Yeongkwan Kim, Yoonyoung Koh, Wonshik Kyung, Joonbum Park, M Matsunami, Shinichi Kimura, Jun Sung KimAbstract:Microscopic mechanism for the Rashba-type band splitting is examined in detail. We show how asymmetric Charge Distribution is formed when local orbital angular momentum (OAM) and crystal momentum get interlocked due to surface effects. An electrostatic energy term in the Hamiltonian appears when such OAM and crystal momentum dependent asymmetric Charge Distribution is placed in an electric ?eld produced from an inversion symmetry breaking (ISB). Analysis by using an effective Hamiltonian shows that, as the atomic spin-orbit coupling (SOC) strength increases from weak to strong, originally OAM-quenched states evolve into well-de?ned chiral OAM states and then to total angular momentum J-states. In addition, the energy scale of the band splitting changes from atomic SOC energy to electrostatic energy. To con?rm the validity of the model, we study OAM and spin structures of Au(111) system by using an effective Hamiltonian for the d-orbitals case. As for strong SOC regime, we choose Bi2Te2Se as a prototype system. We performed circular dichroism angle resolved photoemission spectroscopy experiments as well as ?rst-principles calculations. We ?nd that the effective model can explain various aspects of spin and OAM structures of the system.
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microscopic mechanism for asymmetric Charge Distribution in rashba type surface states and the origin of the energy splitting scale
Physical Review B, 2013Co-Authors: Beomyoung Kim, Panjin Kim, Wonsig Jung, Yeongkwan Kim, Yoonyoung Koh, Wonshik Kyung, Joonbum Park, M Matsunami, Shinichi Kimura, Jun Sung KimAbstract:The microscopic mechanism for Rashba-type band splitting is examined in detail. We show how an asymmetric Charge Distribution is formed when the local orbital angular momentum (OAM) and crystal momentum get interlocked due to surface effects. An electrostatic energy term in the Hamiltonian appears when such an OAM- and crystal-momentum-dependent asymmetric Charge Distribution is placed in an electric field produced by inversion-symmetry breaking. Analysis by using an effective Hamiltonian shows that, as the atomic spin-orbit coupling (SOC) strength increases from weak to strong, the originally OAM-quenched states evolve into well-defined chiral OAM states and then to states of total angular momentum $J$. In addition, the energy scale of the band splitting changes from the atomic SOC energy to electrostatic energy. To confirm the validity of the model, we study OAM and spin structures of the Au(111) system by using an effective Hamiltonian for the $d$-orbital case. As for the strong-SOC regime, we choose Bi${}_{2}$Te${}_{2}$Se as a prototype system. We performed circular dichroism angle-resolved photoemission spectroscopy experiments as well as first-principles calculations. We find that the effective model can explain various aspects of the spin and OAM structures of the system.
Cristian Consonni - One of the best experts on this subject based on the ideXlab platform.
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non gaussianities in the topological Charge Distribution of the su 3 yang mills theory
Physical Review D, 2015Co-Authors: Marco Ce, Cristian Consonni, Georg P. Engel, Leonardo GiustiAbstract:We study the topological Charge Distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo simulations by implementing a naive discretization of the topological Charge evolved with the Yang--Mills gradient flow. This definition is far less demanding than the one suggested from Neuberger's fermions and, as shown in this paper, in the continuum limit its cumulants coincide with those of the universal definition appearing in the chiral Ward identities. Thanks to the range of lattice volumes and spacings considered, we can extrapolate the results for the second and fourth cumulant of the topological Charge Distribution to the continuum limit with confidence by keeping finite volume effects negligible with respect to the statistical errors. Our best results for the topological susceptibility is t_0^2*chi=6.67(7)*10^-4, where t_0 is a standard reference scale, while for the ratio of the forth cumulant over the second we obtain R=0.233(45). The latter is compatible with the expectations from the large Nc expansion, while it rules out the theta-behavior of the vacuum energy predicted by the dilute instanton model. Its large distance from 1 implies that, in the ensemble of gauge configurations that dominate the path integral, the fluctuations of the topological Charge are of quantum non-perturbative nature.
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non gaussianities in the topological Charge Distribution of the su 3 yang mills theory
Physical Review D, 2015Co-Authors: Cristian Consonni, Georg P. Engel, Leonardo GiustiAbstract:We study the topological Charge Distribution of the SU(3) Yang-Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo simulations by implementing a naive discretization of the topological Charge evolved with the Yang-Mills gradient flow. This definition is far less demanding than the one suggested from Neuberger's fermions and, as shown in this paper, in the continuum limit its cumulants coincide with those of the universal definition appearing in the chiral Ward identities. Thanks to the range of lattice volumes and spacings considered, we can extrapolate the results for the second and fourth cumulant of the topological Charge Distribution to the continuum limit with confidence by keeping finite volume effects negligible with respect to the statistical errors. Our best results for the topological susceptibility is ${t}_{0}^{2}\ensuremath{\chi}=6.67(7)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}4}$, where ${t}_{0}$ is a standard reference scale, while for the ratio of the fourth cumulant over the second, we obtain $R=0.233(45)$. The latter is compatible with the expectations from the large ${N}_{c}$ expansion, while it rules out the $\ensuremath{\theta}$ behavior of the vacuum energy predicted by the dilute instanton model. Its large distance from 1 implies that, in the ensemble of gauge configurations that dominate the path integral, the fluctuations of the topological Charge are of quantum nonperturbative nature.
Georg P. Engel - One of the best experts on this subject based on the ideXlab platform.
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non gaussianities in the topological Charge Distribution of the su 3 yang mills theory
Physical Review D, 2015Co-Authors: Marco Ce, Cristian Consonni, Georg P. Engel, Leonardo GiustiAbstract:We study the topological Charge Distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo simulations by implementing a naive discretization of the topological Charge evolved with the Yang--Mills gradient flow. This definition is far less demanding than the one suggested from Neuberger's fermions and, as shown in this paper, in the continuum limit its cumulants coincide with those of the universal definition appearing in the chiral Ward identities. Thanks to the range of lattice volumes and spacings considered, we can extrapolate the results for the second and fourth cumulant of the topological Charge Distribution to the continuum limit with confidence by keeping finite volume effects negligible with respect to the statistical errors. Our best results for the topological susceptibility is t_0^2*chi=6.67(7)*10^-4, where t_0 is a standard reference scale, while for the ratio of the forth cumulant over the second we obtain R=0.233(45). The latter is compatible with the expectations from the large Nc expansion, while it rules out the theta-behavior of the vacuum energy predicted by the dilute instanton model. Its large distance from 1 implies that, in the ensemble of gauge configurations that dominate the path integral, the fluctuations of the topological Charge are of quantum non-perturbative nature.
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non gaussianities in the topological Charge Distribution of the su 3 yang mills theory
Physical Review D, 2015Co-Authors: Cristian Consonni, Georg P. Engel, Leonardo GiustiAbstract:We study the topological Charge Distribution of the SU(3) Yang-Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo simulations by implementing a naive discretization of the topological Charge evolved with the Yang-Mills gradient flow. This definition is far less demanding than the one suggested from Neuberger's fermions and, as shown in this paper, in the continuum limit its cumulants coincide with those of the universal definition appearing in the chiral Ward identities. Thanks to the range of lattice volumes and spacings considered, we can extrapolate the results for the second and fourth cumulant of the topological Charge Distribution to the continuum limit with confidence by keeping finite volume effects negligible with respect to the statistical errors. Our best results for the topological susceptibility is ${t}_{0}^{2}\ensuremath{\chi}=6.67(7)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}4}$, where ${t}_{0}$ is a standard reference scale, while for the ratio of the fourth cumulant over the second, we obtain $R=0.233(45)$. The latter is compatible with the expectations from the large ${N}_{c}$ expansion, while it rules out the $\ensuremath{\theta}$ behavior of the vacuum energy predicted by the dilute instanton model. Its large distance from 1 implies that, in the ensemble of gauge configurations that dominate the path integral, the fluctuations of the topological Charge are of quantum nonperturbative nature.
Beomyoung Kim - One of the best experts on this subject based on the ideXlab platform.
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microscopic mechanism for asymmetric Charge Distribution in rashba type surface states and the origin of the energy splitting scale
Physical Review B, 2013Co-Authors: Beomyoung Kim, Panjin Kim, Wonsig Jung, Yeongkwan Kim, Yoonyoung Koh, Wonshik Kyung, Joonbum Park, M Matsunami, Shinichi Kimura, Jun Sung KimAbstract:Microscopic mechanism for the Rashba-type band splitting is examined in detail. We show how asymmetric Charge Distribution is formed when local orbital angular momentum (OAM) and crystal momentum get interlocked due to surface effects. An electrostatic energy term in the Hamiltonian appears when such OAM and crystal momentum dependent asymmetric Charge Distribution is placed in an electric ?eld produced from an inversion symmetry breaking (ISB). Analysis by using an effective Hamiltonian shows that, as the atomic spin-orbit coupling (SOC) strength increases from weak to strong, originally OAM-quenched states evolve into well-de?ned chiral OAM states and then to total angular momentum J-states. In addition, the energy scale of the band splitting changes from atomic SOC energy to electrostatic energy. To con?rm the validity of the model, we study OAM and spin structures of Au(111) system by using an effective Hamiltonian for the d-orbitals case. As for strong SOC regime, we choose Bi2Te2Se as a prototype system. We performed circular dichroism angle resolved photoemission spectroscopy experiments as well as ?rst-principles calculations. We ?nd that the effective model can explain various aspects of spin and OAM structures of the system.
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microscopic mechanism for asymmetric Charge Distribution in rashba type surface states and the origin of the energy splitting scale
Physical Review B, 2013Co-Authors: Beomyoung Kim, Panjin Kim, Wonsig Jung, Yeongkwan Kim, Yoonyoung Koh, Wonshik Kyung, Joonbum Park, M Matsunami, Shinichi Kimura, Jun Sung KimAbstract:The microscopic mechanism for Rashba-type band splitting is examined in detail. We show how an asymmetric Charge Distribution is formed when the local orbital angular momentum (OAM) and crystal momentum get interlocked due to surface effects. An electrostatic energy term in the Hamiltonian appears when such an OAM- and crystal-momentum-dependent asymmetric Charge Distribution is placed in an electric field produced by inversion-symmetry breaking. Analysis by using an effective Hamiltonian shows that, as the atomic spin-orbit coupling (SOC) strength increases from weak to strong, the originally OAM-quenched states evolve into well-defined chiral OAM states and then to states of total angular momentum $J$. In addition, the energy scale of the band splitting changes from the atomic SOC energy to electrostatic energy. To confirm the validity of the model, we study OAM and spin structures of the Au(111) system by using an effective Hamiltonian for the $d$-orbital case. As for the strong-SOC regime, we choose Bi${}_{2}$Te${}_{2}$Se as a prototype system. We performed circular dichroism angle-resolved photoemission spectroscopy experiments as well as first-principles calculations. We find that the effective model can explain various aspects of the spin and OAM structures of the system.