Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model

Li Yuxiao; Shi Wanzhong; Liu Li

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(11) : 1003-1011

Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model

Physics department of Zhengzhou University,Zhengzhou 450052

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Abstract：
1+1-dimensional U(1) Higgs model on the circle is examined.Non-contractable loops are constructed and Sphaleron configurations are presented.

References

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G.'t Hooft,Phys.Rev.Lett,37（1976）8.[2]A.A.Belarin,A.M.Polyakov,A.S.Schwartz.and Yu.S.Tyupkin,Phys.Lett.,B59（1975）85.[3]N.S.Manton,Phys.Rev,D28（1983）2019;F.R.Klinkhamer and N.S.Manton Phys.Rev.,D30（1984）2212.[4]V.A.Kuzmin,V.A.Rubakov and M.E.Shaposhnikov,Phys.Lett.,B155（1985）36.[5]A.I.Bochkarev and M.E.shaposhnikov,Mod.Phys.Lett,A2（1987）991.[6]D.Yu.Grigoriev,V.A.Rubakov and M.E.Shaposhnikov,Phys.Lett,B216（1989）172;Nucl.Phys.B326（1989）737.[7]Y.Brihaye,S.Giller,D.Kosinski and J.Kunz,CERN-TH,6598/92.[8]N.S.Manton and T.M.Samols,Phys.Lett,B207（1989）179.[9]Jiu-QinyLiany,H.J.W.Miller-kirsten and D.H.Tchrakian,Phys.Lett,B282（1992）105.[10]R.Rajaraman,Solitons and instantons（North-Holland,Amsterdam,1982）.[11]E.T.Whittaker and G.N.Watson.Acourse of Modern Analysis（Cambridge UP.,Cambridge,4-thEdition1927）.

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Li Yuxiao, Shi Wanzhong and Liu Li. Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model[J]. Chinese Physics C, 1994, 18(11): 1003-1011.

Li Yuxiao, Shi Wanzhong and Liu Li. Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model[J]. Chinese Physics C, 1994, 18(11): 1003-1011. shu

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Received: 1900-01-01
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model

Corresponding author: Li Yuxiao,

Physics department of Zhengzhou University,Zhengzhou 450052

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-11-05

Abstract: 1+1-dimensional U(1) Higgs model on the circle is examined.Non-contractable loops are constructed and Sphaleron configurations are presented.