Large Nf for multiple representations

被引：0

作者：

Cacciapaglia, Giacomo ^{[1
]}

Vatani, Shahram ^{[1
]}

机构：

[1] Univ Claude Bernard Lyon 1, Univ Lyon, CNRS, IN2P3,UMR5822,IP2I, F-69622 Villeurbanne, France

来源：

EUROPEAN PHYSICAL JOURNAL C | 2021年 / 81卷 / 05期

关键词：

MASS ANOMALOUS DIMENSION; GAMMA-FUNCTION; BETA-FUNCTION; O(1/N-F(2));

D O I：

10.1140/epjc/s10052-021-09257-8

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present an extension of the large-Nf formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently from the fermion representation. This result validates the conjectured existence of an interactive UV fixed point for non-abelian gauge theories with large fermion multiplicity. Finally, we apply our results to chiral gauge theories.

引用

页数：9

共 43 条

[21] REMARKS ON MASS HIERARCHIES FROM TUMBLING GAUGE-THEORIES
GEORGI, H
HALL, L
WISE, MB
[J]. PHYSICS LETTERS B, 1981, 102 (05) : 315 - 318
[22] Large-Nc and large-NF limits of SU(Nc) gauge theories with fermions in different representations
Girmohanta, Sudhakantha
Ryttov, Thomas A.
Shrock, Robert
[J]. PHYSICAL REVIEW D, 2019, 99 (11)
[23] The QCD beta-function at O (1/N-f)
Gracey, JA
[J]. PHYSICS LETTERS B, 1996, 373 (1-3) : 178 - 184
[24] Large N flavor β-functions. A recap
Holdom, B.
[J]. PHYSICS LETTERS B, 2010, 694 (01) : 74 - 79
[25] Gauge contribution to the 1/NF expansion of the Yukawa coupling beta function
Kowalska, Kamila
Sessolo, Enrico Maria
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (04):
[26] Kowalska Kamila, 2017, PoS EPS-HEP2017, P542
[27] Leino V., ARXIV190804605
[28] Asymptotic safety guaranteed
Litim, Daniel F.
Sannino, Francesco
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (12):
[29] Asymptotically Safe Standard Model via Vectorlike Fermions
Mann, R. B.
Meffe, J. R.
Sannino, F.
Steele, T. G.
Wang, Z. W.
Zhang, C.
[J]. PHYSICAL REVIEW LETTERS, 2017, 119 (26)
[30] Asymptotically safe Pati-Salam theory
Molinaro, E.
Sannino, F.
Wang, Z. W.
[J]. PHYSICAL REVIEW D, 2018, 98 (11)

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