Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime

doi:http://dx.doi.org/10.1088/1674-1137/41/10/103106

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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.
刊名	CHINESE PHYSICS C
	2017
卷号	41 期号:10 页码:103106
关键词	Gravitational Gauge Field Theory Maximal Symmetry Of Massless Dirac Fermion Extra Dimensions Mass Generation
DOI	http://dx.doi.org/10.1088/1674-1137/41/10/103106
英文摘要	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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21956]
专题	理论物理研究所_理论物理所1978-2010年知识产出
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.
推荐引用方式 GB/T 7714	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.