Massive self-duality solution associated with invariant one-forms

Ibrahim Sener

doi:10.1088/1674-1137/42/1/013107

Chinese Physics C> 2018, Vol. 42> Issue(1) : 013107 DOI: 10.1088/1674-1137/42/1/013107

Massive self-duality solution associated with invariant one-forms

Ibrahim Sener

Abstract
HTML
Reference
Related

PDF

Abstract：
A massive self-duality solution associated with invariant 1-forms is presented. At the zero mass limit the massive self-dual theory of the SO(3) gauge group on 4 dimensions cannot be reduced to that of massless self-duality. In such a case the self-dual connection turns to the flat connection and one cannot obtain a massless theory in such an approach.
- massive gauge fields ,
- self-duality ,
- invariant one-forms

References

[1]	J. Reiff and M. Veltman, Nucl. Phys. B, 13 (3):545-564 (1969)
[2]	G.tHooft, Nucl. Phys. B, 33 (1):173-199 (1971)
[3]	C. N. Yang and R. L. Mills, Phys. Rev., 96:191-195 (1954)
[4]	L. Faddeev and V. Popov, Phys. Lett. B, 25 (1):29-30 (1967)
[5]	H. van Dam and M. Veltman, Nucl. Phys. B, 22 (2):397-411 (1970)
[6]	A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin, Phys. Lett. B, 59 (1):85-87 (1975)
[7]	G.t Hooft, Phys. Rev. D, 14:3432-3450 (1976)
[8]	P. W. Higgs, Phys. Rev. Lett., 13:508-509 (1964)
[9]	F. Englert and R. Brout, Phys. Rev. Lett., 13:321-323 (1964)
[10]	T. W. B. Kibble, Phys. Rev., 155 (5):1554-1561 (1967)
[11]	M. F. Atiyah, Geometry of Yang-Mills Fields (Accademia Nazionale Dei Lincei Scuola Normale Superiore, 1979)
[12]	J. Figueroa-O'Farrill, J. Geom. Phys., 32 (2):227-240 (1999)
[13]	A. Proca, Journal de Physique et le Radium, 7:347-353 (1936)
[14]	K. Huang, Quarks, Leptons and Gauge Fields (World Scientific, 1992)

[1]	. Rephasing invariant formulae for CP phases in general parameterizations of flavor mixing matrix and exact sum rules with unitarity triangles. Chinese Physics C, 2026, 50(2): 1-5.
[2]	Wang-Fa Li , Junmou Chen , Qian-Jiu Wang , Zhao-Huan Yu . A Numerical Study on Gauge Symmetry of Electroweak Amplitudes. Chinese Physics C, 2026, 50(2): 1-16.
[3]	Liuxin Zhao , Honglei Li , Zhi-Long Han , Fei Huang , Xinyi Yan . Extra charged gauge boson W′ in Alternative Left-Right Model at future muon collider. Chinese Physics C, 2025, 49(12): 123102. doi: 10.1088/1674-1137/adec51
[4]	Xufen Zhang , De-Cheng Zou , Chao-Ming Zhang , Ming Zhang , Rui-Hong Yue . Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory. Chinese Physics C, 2025, 49(10): 105109. doi: 10.1088/1674-1137/ade661
[5]	Tetsuaki Moriguchi , Momo Mukai , Naoto Kaname , Akira Ozawa , Shinji Suzuki , Yasushi Abe , Hiroki Arakawa , Tomoya Fujii , Daiki Hamakawa , Sakumi Harayama , Shun Hosoi , Yasuto Inada , Kumi Inomata , Reo Kagesawa , Daisuke Kajiki , Daiki Kamioka , Masanori Kanda , Atsushi Kitagawa , Takaaki Kobayashi , Daisuke Nagae , Sarah Naimi , Kunimitsu Nishimuro , Shunichiro Omika , Misaki Otsu , Mamoru Sakaue , Shinji Sato , Hibiki Seki , Naru Shinozaki , Takeshi Suzuki , Keisuke Tomita , Takayuki Yamaguchi , Yoshitaka Yamaguchi , Asahi Yano , Kenjiro Yokota . Improvements of time-of-flight detector utilizing a thin foil and crossed static electric and magnetic fields. Chinese Physics C, 2025, 49(10): 104001. doi: 10.1088/1674-1137/ade95b
[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

Access

Get Citation

Ibrahim Sener. Massive self-duality solution associated with invariant one-forms[J]. Chinese Physics C, 2018, 42(1): 013107. doi: 10.1088/1674-1137/42/1/013107

Ibrahim Sener. Massive self-duality solution associated with invariant one-forms[J]. Chinese Physics C, 2018, 42(1): 013107. doi: 10.1088/1674-1137/42/1/013107 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-08-31
Revised: 2017-11-07

Article Metric

Article Views(3162)
PDF Downloads(39)
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

Massive self-duality solution associated with invariant one-forms

Ibrahim Sener

Received Date: 2017-08-31
Accepted Date: 2017-11-07
Available Online: 2018-01-05

Abstract: A massive self-duality solution associated with invariant 1-forms is presented. At the zero mass limit the massive self-dual theory of the SO(3) gauge group on 4 dimensions cannot be reduced to that of massless self-duality. In such a case the self-dual connection turns to the flat connection and one cannot obtain a massless theory in such an approach.