Wilsonian effective action for SU(2) Yang-Mills theory with(14)

The Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field is employed for the calculation of the corresponding Wilsonian effective action to one-loop order with covariant gauge fixing. The generation of a mass scale is observed, and the fl

For example,a reasonable lowest-order approximation of the RHS of Eq.

(B.8)

is

given by its local limit,K C (M C )?1K C =(n ·?λn ×?λµn )

1(2π)4p λp κp µp ν

31k δλκδµν+δλµδκν+δλνδκµ .(C.10)

From this formula,we can also deduce upon index contraction that

[k,Λ]d 4p p 6=1k , [k,Λ]d 4p p 4

=1k .(C.11)

The last integral is,of course,standard and can be used to prove Eq.(C.10)in addition to symmetry arguments.The same philosophy applies to the second type of integrals:

[k,Λ]

d 4p p 4=1(2π)4116π

2(Λ2?k 2).(C.12)References

[1]L.Faddeev and A.J.Niemi,Phys.Rev.Lett.82,1624(1999)[hep-th/9807069].

[2]Y.M.Cho,Phys.Rev.D21,1080(1980);Phys.Rev.D23,2415(1981).

[3]V.Periwal,hep-th/9808127.

[4]L.Faddeev and A.J.Niemi,Phys.Lett.B449,214(1999)[hep-th/9812090].

[5]ngmann and A.J.Niemi,Phys.Lett.B463,252(1999)[hep-th/9905147].

[6]Y.M.Cho,H.Lee and D.G.Pak,hep-th/9905215.

[7]L.Faddeev and A.J.Niemi,hep-th/0101078.

14

百度搜索“77cn”或“免费范文网”即可找到本站免费阅读全部范文。收藏本站方便下次阅读，免费范文网，提供经典小说教育文库Wilsonian effective action for SU(2) Yang-Mills theory with(14)在线全文阅读。