This paper describes an extension and a new foundation of the Standard Model of particle physics based on a SU(4)-force called hyper-color, and on preon subparticles. The hyper-color force is a generalization of the S...This paper describes an extension and a new foundation of the Standard Model of particle physics based on a SU(4)-force called hyper-color, and on preon subparticles. The hyper-color force is a generalization of the SU(2)-based weak interaction and the SU(1)-based right-chiral self-interaction, in which the W-and the Z-bosons are Yukawa residual-field-carriers of the hyper-color force, in the same sense as the pions are the residual-field-carriers of the color SU(3) interaction. Using the method of numerical minimization of the SU(4)-action based on this model, the masses and the inner structure of leptons, quarks and weak bosons are calculated: the mass results are very close to the experimental values. We calculate also precisely the value of the Cabibbo angle, so the mixing matrices of the Standard model, CKM matrix for quarks and PMNS matrix for neutrinos can also be calculated. In total, we reduce the 29 parameters of the Standard Model to a total of 7 parameters.展开更多
In order to understand the properties of the spin system with orbital degeneracy,we first generalize the linearized semiclassical spin wave method for the SU(2) generators into the SU(4) case,and then investigate the ...In order to understand the properties of the spin system with orbital degeneracy,we first generalize the linearized semiclassical spin wave method for the SU(2) generators into the SU(4) case,and then investigate the elementary excitations of the orbital-spin systems in the SU(4) limit,The results show that,due to the reduction of the dimensionality of the excitations,the ordered state of the SU(4) spin-orbital model is unstable.Secondly,we study the effects of the Hund interaction on the flavour liquid state of the system.Our mean-field results suggest that,for a small Hund interaction,the flavour liquid state is still stable against the generalized spin-density wave state,but with sufficient deviation from the SU(4) limit ,the long-range order may be attained in two-dimensional systems.Finally,the implications for the experimental observations on the material LiNiO2 are discussed.展开更多
In order to understand the properties of the spin system with orbital degeneracy, we first study the ground state of the SU(4) spin-orbital model on a square lattice. The mean-field results suggest that for a small Hu...In order to understand the properties of the spin system with orbital degeneracy, we first study the ground state of the SU(4) spin-orbital model on a square lattice. The mean-field results suggest that for a small Hund's interaction, the flavor liquid state is stable against the solid state, but with sufficient deviation from the SU(4) limit the long-range order may be attained in 2D system. Fhrthermore, we employ a variational approach to calculate the phase diagram of the ground state and the temperature-dependent susceptibility by taking into account the Hund's interaction and the anisotropy in orbital wavefunctions. Finally, the implications for the experimental observations on the material,LiNiO2, are discussed.展开更多
We review application of the SU(4)model of strongly-correlated electrons to cuprate and iron-based superconductors.A minimal self-consistent generalization of BCS theory to incorporate antiferromag-netism on an equal ...We review application of the SU(4)model of strongly-correlated electrons to cuprate and iron-based superconductors.A minimal self-consistent generalization of BCS theory to incorporate antiferromag-netism on an equal footing with pairing and strong Coulomb repulsion is found to account system-atically for the major features of high-temperature superconductivity,with microscopic details of the parent compounds entering only parametrically.This provides a systematic procedure to separate es-sential from peripheral,suggesting that many features exhibited by the high-Te data set are of interest in their own right but are not central to the superconducting mechanism.More generally,we propose that the surprisingly broad range of conventional and unconventional superconducting and superfluid behavior observed across many fields of physics results from the systemnatic appearance of similar al-gebraic structures for the emergent ffoctive Harmiltonians,even though the microscopic Harmiltonians of the corresponding parent states may differ radically from each other.展开更多
We study charmed baryon resonances that are generated dynamically from a coupled-channel unitary approach that implements heavy-quark symmetry. Some states can already be identified with experimental observations, suc...We study charmed baryon resonances that are generated dynamically from a coupled-channel unitary approach that implements heavy-quark symmetry. Some states can already be identified with experimental observations, such as Λc(2595), Λc(2660), Σc(2902) or Λc(2941), while others need a compilation of more experimental data as well as an extension of the model to include higher order contributions. We also compare our model to previous SU(4) schemes.展开更多
文摘This paper describes an extension and a new foundation of the Standard Model of particle physics based on a SU(4)-force called hyper-color, and on preon subparticles. The hyper-color force is a generalization of the SU(2)-based weak interaction and the SU(1)-based right-chiral self-interaction, in which the W-and the Z-bosons are Yukawa residual-field-carriers of the hyper-color force, in the same sense as the pions are the residual-field-carriers of the color SU(3) interaction. Using the method of numerical minimization of the SU(4)-action based on this model, the masses and the inner structure of leptons, quarks and weak bosons are calculated: the mass results are very close to the experimental values. We calculate also precisely the value of the Cabibbo angle, so the mixing matrices of the Standard model, CKM matrix for quarks and PMNS matrix for neutrinos can also be calculated. In total, we reduce the 29 parameters of the Standard Model to a total of 7 parameters.
文摘In order to understand the properties of the spin system with orbital degeneracy,we first generalize the linearized semiclassical spin wave method for the SU(2) generators into the SU(4) case,and then investigate the elementary excitations of the orbital-spin systems in the SU(4) limit,The results show that,due to the reduction of the dimensionality of the excitations,the ordered state of the SU(4) spin-orbital model is unstable.Secondly,we study the effects of the Hund interaction on the flavour liquid state of the system.Our mean-field results suggest that,for a small Hund interaction,the flavour liquid state is still stable against the generalized spin-density wave state,but with sufficient deviation from the SU(4) limit ,the long-range order may be attained in two-dimensional systems.Finally,the implications for the experimental observations on the material LiNiO2 are discussed.
文摘In order to understand the properties of the spin system with orbital degeneracy, we first study the ground state of the SU(4) spin-orbital model on a square lattice. The mean-field results suggest that for a small Hund's interaction, the flavor liquid state is stable against the solid state, but with sufficient deviation from the SU(4) limit the long-range order may be attained in 2D system. Fhrthermore, we employ a variational approach to calculate the phase diagram of the ground state and the temperature-dependent susceptibility by taking into account the Hund's interaction and the anisotropy in orbital wavefunctions. Finally, the implications for the experimental observations on the material,LiNiO2, are discussed.
基金We would like to thank Pengcheng Dal,E-bio Dagotto,Adrana Moreo,Takeshi Egami,John Quinn,Hai-Hu Wen,and Wel Ku for discussions and advice that have greatly enhanced our understanding of strongly correlated elec-tron systems.This work was partially supported by the National Key Program for S&T Research and Development(Grant No.2016YFA0400501)L.w.acknowledges grant support from the Basque Government(Grant No.IT986-16)and PGC2018-101355B-100(MCIU/AEI/FEDER,UE).This work was partially supported by LightCone Interactive LLC.
文摘We review application of the SU(4)model of strongly-correlated electrons to cuprate and iron-based superconductors.A minimal self-consistent generalization of BCS theory to incorporate antiferromag-netism on an equal footing with pairing and strong Coulomb repulsion is found to account system-atically for the major features of high-temperature superconductivity,with microscopic details of the parent compounds entering only parametrically.This provides a systematic procedure to separate es-sential from peripheral,suggesting that many features exhibited by the high-Te data set are of interest in their own right but are not central to the superconducting mechanism.More generally,we propose that the surprisingly broad range of conventional and unconventional superconducting and superfluid behavior observed across many fields of physics results from the systemnatic appearance of similar al-gebraic structures for the emergent ffoctive Harmiltonians,even though the microscopic Harmiltonians of the corresponding parent states may differ radically from each other.
基金supported by the National Natural Science Foundation of China(12034004 and 11774306)the K.C.Wong Education Foundation(GJTD2020–01)+3 种基金the Strategic Priority Research Program of Chinese Academy of Sciences(XDB28000000)funded by the European Research Council(ERC)under the European Unions Horizon 2020 Research and Innovation Program(771537)supported by the Deutsche Forschungsgemeinschaft through project A06 of SFB 1143(247310070)The numerical simulations in this work are based on the GraceQ project(www.gracequantum.org)。
基金Supported by EU contract FLAVIAnet MRTN-CT-2006-035482, by the contract FIS2008-01143 from MEC (Spain) and FEDERby the Generalitat de Catalunya contract 2005SGR-00343, and the Junta de Andalucía grants FQM225, FQM481 and P06-FQM-01735This research is part of the EU Integrated Infrastructure Initiative Hadron Physics Project under contractnumber RII3-CT-2004-506078
文摘We study charmed baryon resonances that are generated dynamically from a coupled-channel unitary approach that implements heavy-quark symmetry. Some states can already be identified with experimental observations, such as Λc(2595), Λc(2660), Σc(2902) or Λc(2941), while others need a compilation of more experimental data as well as an extension of the model to include higher order contributions. We also compare our model to previous SU(4) schemes.
