Self duality solution with a Higgs field

Ibrahim Sener

doi:10.1088/1674-1137/42/10/103104

Chinese Physics C> 2018, Vol. 42> Issue(10) : 103104 DOI: 10.1088/1674-1137/42/10/103104

Self duality solution with a Higgs field

Ibrahim Sener

Abstract
HTML
Reference
Related

PDF

Abstract：
The self-duality concept for the Higgs field is handled in the presence of contact geometry in 5 dimensions. A non-trivial SO(3) Higgs field lives only on the fifth dimension of the contact manifold because of the contact structure, while the SD Yang-Mills field lives in the 4-dimensional hyperplane of the contact manifold. The Higgs and SD Yang-Mills fields do not interact with one another.
- self-duality ,
- Higgs field ,
- 5 dimensions ,
- contact manifold

References

[1]	A. Trautman, Internat. J. Theoret. Phys., 16(8):561-565 (1977)
[2]	E. Corrigan, C. Devchand, D. Fairlie, and J. Nuyts, Nucl. Phys. B, 214(3):452-464 (1983)
[3]	B. Grossman, T. W. Kephart, and J. D. Statsheff, Comm. Math. Phys., 96(4):431-437 (1984)
[4]	D. Baraglia and P. Hekmati, Adv. in Math., 294:562-595 (2016)
[5]	A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin, Phys. Lett. B, 59(1):85-87 (1975)
[6]	A. S. Schwarz, Phys. Lett. B, 67(2):172-174 (1977)
[7]	G. 't Hooft, Phys. Rev. D, 14:3432-3450 (1976)
[8]	D. H. Tchrakian, J. Math. Phys., 21(1):166-169 (1980)
[9]	G. Tian, Ann. of Math. (2), 151(1):193-268 (2000)
[10]	A. Deser, O. Lechtenfeld, and A. D. Popov, Nuc. Phys. B, 894:361-373 (2015)
[11]	T. A. Ivanova, O. Lechtenfeld, A. D. Popov, and Maike Torm Nuc. Phys. B, 882:205-218 (2014)
[12]	S. Brendle, ArXiv Mathematics e-prints (2003), math/0302094
[13]	İ. Şener, Commun. Theor. Phys., 66(4):379-384 (2016)
[14]	D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, (Birkhuser Basel, 2010)
[15]	İ. Şener, Chinese Physics C, 42(1):013107 (2018)
[16]	K. K. Uhlenbeck, Comm. Math. Phys., 83(1):11-29 (1982)
[17]	J. A. de Azcrraga and J. M. Izquierdo, Lie Groups, Lie Algebras, Cohomology and some Applications in Physics, (Cambridge:Cambridge University Press, 1995)
[18]	K. Yano, Tensor (New Series), 14:99-109 (1963)

[1]	N. Amangeldi , N. Burtebayev , G. Yergaliuly , Maulen Nassurlla , B. Balabekov , Abylay Tangirbergen , Awad A. Ibraheem , Mohamed A. Dewidar , Sh. Hamada . Breakup of ⁷Li in the field of ^118,120Sn nuclei and its effect on the elastic scattering channel. Chinese Physics C, 2026, 50(2): 1-12.
[2]	Minghui Ding , Fei Gao , Sebastian M. Schmidt . Anisotropic quark propagation and Zeeman effect in an external magnetic field. Chinese Physics C, 2026, 50(2): 1-19.
[3]	Ali Çiçi , Hüseyin Dağ . Resolving the W boson Mass in the Lepton Specific Two Higgs Doublet Model. Chinese Physics C, 2026, 50(3): 1-19.
[4]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[5]	Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz . Rotating and non-linear magnetic-charged black hole with an anisotropic matter field. Chinese Physics C, 2025, 49(10): 105106. doi: 10.1088/1674-1137/ade0a9
[6]	Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang . Testing the cosmic distance duality relation using Type Ia supernovae and radio quasars through model-independent methods. Chinese Physics C, 2025, 49(10): 105108. doi: 10.1088/1674-1137/ade4a3
[7]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[8]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[9]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

Ibrahim Sener. Self duality solution with a Higgs field[J]. Chinese Physics C, 2018, 42(10): 103104. doi: 10.1088/1674-1137/42/10/103104

Ibrahim Sener. Self duality solution with a Higgs field[J]. Chinese Physics C, 2018, 42(10): 103104. doi: 10.1088/1674-1137/42/10/103104 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-04-15

Article Metric

Article Views(2901)
PDF Downloads(34)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Self duality solution with a Higgs field

Ibrahim Sener

Received Date: 2018-04-15
Available Online: 2018-10-05

Abstract: The self-duality concept for the Higgs field is handled in the presence of contact geometry in 5 dimensions. A non-trivial SO(3) Higgs field lives only on the fifth dimension of the contact manifold because of the contact structure, while the SD Yang-Mills field lives in the 4-dimensional hyperplane of the contact manifold. The Higgs and SD Yang-Mills fields do not interact with one another.