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Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime
Wu, YL; Wu, YL (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.; Wu, YL (reprint author), Univ Chinese Acad Sci, Int Ctr Theoret Phys Asia Pacific, Beijing 100049, Peoples R China.
2017
发表期刊CHINESE PHYSICS C
卷号41期号:10页码:103106
文章类型Article
摘要The relativistic Dirac equation in four-dimensional spacetime reveals a coherent relation between the dimensions of spacetime and the degrees of freedom of fermionic spinors. A massless Dirac fermion generates new symmetries corresponding to chirality spin and charge spin as well as conformal scaling transformations. With the introduction of intrinsic W-parity, a massless Dirac fermion can be treated as a Majorana-type or Weyl-type spinor in a six-dimensional spacetime that reflects the intrinsic quantum numbers of chirality spin. A generalized Dirac equation is obtained in the six-dimensional spacetime with a maximal symmetry. Based on the framework of gravitational quantum field theory proposed in Ref. [1] with the postulate of gauge invariance and coordinate independence, we arrive at a maximally symmetric gravitational gauge field theory for the massless Dirac fermion in six-dimensional spacetime. Such a theory is governed by the local spin gauge symmetry SP(1,5) and the global Poincare symmetry P(1,5)= SO(1,5) proportional to P-1,P-5 as well as the charge spin gauge symmetry SU(2). The theory leads to the prediction of doubly electrically charged bosons. A scalar field and conformal scaling gauge field are introduced to maintain both global and local conformal scaling symmetries. A generalized gravitational Dirac equation for the massless Dirac fermion is derived in the six-dimensional spacetime. The equations of motion for gauge fields are obtained with conserved currents in the presence of gravitational effects. The dynamics of the gauge-type gravifield as a Goldstone-like boson is shown to be governed by a conserved energy-momentum tensor, and its symmetric part provides a generalized Einstein equation of gravity. An alternative geometrical symmetry breaking mechanism for the mass generation of Dirac fermions is demonstrated.
关键词Gravitational Gauge Field Theory Maximal Symmetry Of Massless Dirac Fermion Extra Dimensions Mass Generation
学科领域Physics
资助者National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP)
DOIhttp://dx.doi.org/10.1088/1674-1137/41/10/103106
关键词[WOS]QUANTUM-THEORY ; BOSON ; MODEL ; LHC
语种英语
资助者National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; National Science Foundation of China (NSFC) [11690022, 11475237, 11121064] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB23030100] ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP) ; CAS Center for Excellence in Particle Physics (CCEPP)
WOS类目Physics, Nuclear ; Physics, Particles & Fields
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21956
专题理论物理所SCI论文
通讯作者Wu, YL (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.; Wu, YL (reprint author), Univ Chinese Acad Sci, Int Ctr Theoret Phys Asia Pacific, Beijing 100049, Peoples R China.
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Wu, YL,Wu, YL ,Wu, YL . Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime[J]. CHINESE PHYSICS C,2017,41(10):103106.
APA Wu, YL,Wu, YL ,&Wu, YL .(2017).Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime.CHINESE PHYSICS C,41(10),103106.
MLA Wu, YL,et al."Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime".CHINESE PHYSICS C 41.10(2017):103106.
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