Four-loop cusp anomalous dimension in QED

Standard

Four-loop cusp anomalous dimension in QED. / Grozin, Andrey.

In: Journal of High Energy Physics, Vol. 2018, No. 6, 73, 01.06.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Grozin, A 2018, 'Four-loop cusp anomalous dimension in QED', Journal of High Energy Physics, vol. 2018, no. 6, 73. https://doi.org/10.1007/JHEP06(2018)073

APA

Grozin, A. (2018). Four-loop cusp anomalous dimension in QED. Journal of High Energy Physics, 2018(6), [73]. https://doi.org/10.1007/JHEP06(2018)073

Vancouver

Grozin A. Four-loop cusp anomalous dimension in QED. Journal of High Energy Physics. 2018 Jun 1;2018(6):73. doi: 10.1007/JHEP06(2018)073

Author

Grozin, Andrey. / Four-loop cusp anomalous dimension in QED. In: Journal of High Energy Physics. 2018 ; Vol. 2018, No. 6.

BibTeX

@article{93977038cb804c86b3eec721ddb986fa,

title = "Four-loop cusp anomalous dimension in QED",

abstract = "The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the HQET field anomalous dimension γh are calculated analytically (the 4-loop one agrees with the recent numerical result [1]). The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the cusp anomalous dimension Γ(φ) are calculated analytically, exactly in φ (the φ → ∞ asymptotics of the 4-loop one agrees with the recent numerical result [2]). Combining these results with the recent 4-loop dF Fnl contributions to γh and to the small-φ expansion of Γ(φ) up to φ4 [3], we now have the complete analytical 4-loop result for the Bloch-Nordsieck field anomalous dimension in QED, and the small-φ expansion of the 4-loop QED cusp anomalous dimension up to φ4.",

keywords = "Effective Field Theories, Perturbative QCD, Renormalization Group, Wilson, {\textquoteright}t Hooft and Polyakov loops, QCD, Wilson, 't Hooft and Polyakov loops, RENORMALIZATION",

author = "Andrey Grozin",

note = "Publisher Copyright: {\textcopyright} 2018, The Author(s).",

year = "2018",

month = jun,

day = "1",

doi = "10.1007/JHEP06(2018)073",

language = "English",

volume = "2018",

journal = "Journal of High Energy Physics",

issn = "1029-8479",

publisher = "Springer US",

number = "6",

}

RIS

TY - JOUR

T1 - Four-loop cusp anomalous dimension in QED

AU - Grozin, Andrey

PY - 2018/6/1

Y1 - 2018/6/1

N2 - The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the HQET field anomalous dimension γh are calculated analytically (the 4-loop one agrees with the recent numerical result [1]). The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the cusp anomalous dimension Γ(φ) are calculated analytically, exactly in φ (the φ → ∞ asymptotics of the 4-loop one agrees with the recent numerical result [2]). Combining these results with the recent 4-loop dF Fnl contributions to γh and to the small-φ expansion of Γ(φ) up to φ4 [3], we now have the complete analytical 4-loop result for the Bloch-Nordsieck field anomalous dimension in QED, and the small-φ expansion of the 4-loop QED cusp anomalous dimension up to φ4.

AB - The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the HQET field anomalous dimension γh are calculated analytically (the 4-loop one agrees with the recent numerical result [1]). The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the cusp anomalous dimension Γ(φ) are calculated analytically, exactly in φ (the φ → ∞ asymptotics of the 4-loop one agrees with the recent numerical result [2]). Combining these results with the recent 4-loop dF Fnl contributions to γh and to the small-φ expansion of Γ(φ) up to φ4 [3], we now have the complete analytical 4-loop result for the Bloch-Nordsieck field anomalous dimension in QED, and the small-φ expansion of the 4-loop QED cusp anomalous dimension up to φ4.

KW - Effective Field Theories

KW - Perturbative QCD

KW - Renormalization Group

KW - Wilson, ’t Hooft and Polyakov loops

KW - QCD

KW - Wilson, 't Hooft and Polyakov loops

KW - RENORMALIZATION

UR - http://www.scopus.com/inward/record.url?scp=85048632738&partnerID=8YFLogxK

U2 - 10.1007/JHEP06(2018)073

DO - 10.1007/JHEP06(2018)073

M3 - Article

AN - SCOPUS:85048632738

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1029-8479

IS - 6

M1 - 73

ER -

ID: 14048149