Published September 2017 | Version v1
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The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Creators

  • 1. Bielefeld Univ. (Germany). Faculty of Physics
  • 2. Durham Univ. (United Kingdom). Inst. for Particle Physics Phenomenology
  • 3. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)
  • 4. Univ. del Bio-Bio, Chillan (Chile). Grupo de Cosmologia y Particulas Elementales

Description

We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-Nf term of the five-loop Beta function earlier, we here report on a confirmation of the all-Nf result that has in the meantime been published by another group. Furthermore, in order to push forward the 5-loop renormalization program regarding gauge parameter dependence, we present the linear terms of the complete set of anomalous dimensions, in an expansion in the covariant gauge parameter around the Feynman gauge.

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Additional details

Publishing Information

Imprint Pagination
17 p.
ISSN
0418-9833
Report number
DESY--17-142

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
49071679
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANALYTIC FUNCTIONS; ANOMALOUS DIMENSION; FERMIONS; FEYNMAN DIAGRAM; GAUGE INVARIANCE; IRREDUCIBLE REPRESENTATIONS; PARTICLE MULTIPLETS; RENORMALIZATION; REST MASS; SPINOR FIELDS; SU GROUPS; UNIFIED GAUGE MODELS; VECTOR FIELDS
Descriptors DEC
DIAGRAMS; FIELD THEORIES; FUNCTIONS; INFORMATION; INVARIANCE PRINCIPLES; LIE GROUPS; MASS; MATHEMATICAL MODELS; MULTIPLETS; PARTICLE MODELS; QUANTUM FIELD THEORY; SCALE DIMENSION; SYMMETRY GROUPS

Optional Information

Secondary number(s)
BI-TP--2017-13; IPPP--17-68