A Generalization of the Nielsen's β-Function

2018 ◽  
Vol 11 (2) ◽  
pp. 16-26 ◽  
Author(s):  
Kwara Nantomah
Keyword(s):  
Β Function

THE VANISHING β-FUNCTION OF N=4 SUPERSYMMETRIC YANG-MILLS THEORY

1982 ◽  
Vol 43 (C3) ◽  
pp. C3-326-C3-327
Author(s):  
K. S. Stelle
Keyword(s):  
Yang Mills ◽  
Β Function

TRI β FUNCTION

2020 ◽  
Vol 9 (5) ◽  
pp. 2717-2721
Author(s):  
J. Carlin ◽  
M. Muthukumari
Keyword(s):  
Β Function

scholarly journals ANALYTIC INVARIANT CHARGE IN QCD

2003 ◽  
Vol 18 (30) ◽  
pp. 5475-5519 ◽  
Author(s):  
A. V. NESTERENKO
Keyword(s):  
Perturbative Expansion ◽  
Quantum Field ◽  
Perturbative Approach ◽  
Interaction Processes ◽  
Running Coupling ◽  
Wide Range ◽  
Local Quantum ◽  
Concrete Realization ◽  
Β Function ◽  
Analytic Invariant

This paper gives an overview of recently developed model for the QCD analytic invariant charge. Its underlying idea is to bring the analyticity condition, which follows from the general principles of local Quantum Field Theory, in perturbative approach to renormalization group (RG) method. The concrete realization of the latter consists in explicit imposition of analyticity requirement on the perturbative expansion of β function for the strong running coupling, with subsequent solution of the corresponding RG equation. In turn, this allows one to avoid the known difficulties originated in perturbative approximation of the RG functions. Ultimately, the proposed approach results in qualitatively new properties of the QCD invariant charge. The latter enables one to describe a wide range of the strong interaction processes both of perturbative and intrinsically nonperturbative nature.

scholarly journals A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4627-4761 ◽  
Author(s):  
OLIVER J. ROSTEN
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Explicit Dependence ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Group A ◽  
Β Function ◽  
Exact Renormalization Group

Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU (N) Yang–Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the β function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these nonuniversal contributions is done in an entirely diagrammatic fashion.

THE ANALYTICAL FOUR-LOOP CORRECTIONS TO THE QED β-FUNCTION IN THE MS SCHEME AND TO THE QED ψ-FUNCTION: TOTAL REEVALUATION

Quarks '90 ◽  
1991 ◽  
Author(s):  
S. G. Gorishny ◽  
A. L. Kataev ◽  
S. A. Larin ◽  
L. R. Surguladze
Keyword(s):  
Ms Scheme ◽  
Β Function

β-Function in a non-covariant Yang-Mills theory

1978 ◽  
Vol 141 (1-2) ◽  
pp. 153-177 ◽  
Author(s):  
H.B. Nielsen ◽  
Masao Ninomiya
Keyword(s):  
Yang Mills ◽  
Β Function

scholarly journals The β-function for Yukawa theory at large Nf

2018 ◽  
Vol 2018 (8) ◽  
Author(s):  
Tommi Alanne ◽  
Simone Blasi
Keyword(s):  
Β Function ◽  
Yukawa Theory
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