Geodesic
Infrared asymptotics of power type for the gluon propagator in the axial gauge
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 324-339 Cet article a éte moissonné depuis la source Math-Net.Ru

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In a gauge theory of Yang–Mills type with zero mass, a study is made of the possibility of having a power-law infrared asymptotic behavior of the total gtuon propagator: $D(k)\sim1/(k^2)^{\beta+1}$, $k^2\to0$. The axial gauge is used, and an equation for the exponent of the infrared asymptotic behavior is obtained as a consequence of the Schwinger–Dyson equation and the Ward–Slavnov identity; dimensional regularization is used. Under certain assumptions, it is shown that there exists a spectrum of discrete values of the exponent of the infrared behavior that are asymptotically consistent in the limit $k^2\to0$ with the Sehwiager–Dyson equation and the Ward–Slavnov identity. The values of the exponent are found by numerical analysis. 
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     author = {A. I. Alekseev},
     title = {Infrared asymptotics of power type for the gluon propagator in the axial gauge},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {324--339},
     year = {1981},
     volume = {48},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a4/}
}
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A. I. Alekseev. Infrared asymptotics of power type for the gluon propagator in the axial gauge. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 324-339. http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a4/

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