Invariant regularization of non-linear chiral theories

Slavnov, A. A.

doi:10.1016/0550-3213(71)90234-3

Cited by 216 publications

(198 citation statements)

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“…This possibility can be used for constructing the renormalization constant which satisfies the second condition in Eq. (43). For this purpose we consider an arbitrary renormalization constant Z and construct the function Z(α, x = 0) ≡ g(α).…”

Section: Resultsmentioning

confidence: 99%

“…In higher orders it is also necessary to consider terms with larger degrees of α 0 . For example, in the four-loop approximation we should also consider terms proportional to α 4 0 in the first equation of (43) and terms proportional to α 2 0 in the second equation of (43). This allows to obtain the next coefficients b 3 and g 2 .…”

Section: (This Expression Is Written In the Euclidean Space After Tmentioning

confidence: 99%

“…In this paper we study in details, how the exact relation (1) can be obtained using the Slavnov higher derivative regularization [43,44], which is mathematically consistent and does not break the supersymmetry in all orders [45,46]. Therefore, this regularization has theoretical advantages over the mathematically inconsistent DRED.…”

Section: Introductionmentioning

confidence: 99%

“…In order to regularize this theory by higher derivatives, it is necessary to insert into the first term of Eq. (2) a regularizing function R, such that R(0) = 1 and R(∞) = ∞, which contains higher derivatives [43,44]:…”

Section: Introductionmentioning

confidence: 99%

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NSVZ scheme with the higher derivative regularization for SQED

2013

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The exact NSVZ relation between a β-function of N = 1 SQED and an anomalous dimension of the matter superfields is studied within the Slavnov higher derivative regularization approach. It is shown that if the renormalization group functions are defined in terms of the bare coupling constant, this relation is always valid. In the renormalized theory the NSVZ relation is obtained in the momentum subtraction scheme supplemented by a special finite renormalization. Unlike the dimensional reduction, the higher derivative regularization allows to fix this finite renormalization. This is made by imposing the conditions Z 3 (α, µ = Λ) = 1 and Z(α, µ = Λ) = 1 on the renormalization constants of N = 1 SQED, where Λ is a parameter in the higher derivative term. The results are verified by the explicit three-loop calculation. In this approximation we relate the DR scheme and the NSVZ scheme defined within the higher derivative approach by the finite renormalization.

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Section: Resultsmentioning

confidence: 99%

Section: (This Expression Is Written In the Euclidean Space After Tmentioning

confidence: 99%