scholarly journals Thermal β function in Yang-Mills theory

1995 ◽  
Vol 51 (2) ◽  
pp. 774-780 ◽  
Author(s):  
Per Elmfors ◽  
Randy Kobes
Keyword(s):  
Yang Mills ◽  
Β Function

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.

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

The perturbative β-function in the Zumino model

2001 ◽  
Vol 79 (8) ◽  
pp. 1099-1104
Author(s):  
R Clarkson ◽  
D.G.C. McKeon
Keyword(s):  
Euclidean Space ◽  
Dimensional Euclidean Space ◽  
Supersymmetric Model ◽  
Yang Mills ◽  
Β Function ◽  
Zumino Model

We consider the perturbative β-function in a supersymmetric model in four-dimensional Euclidean space formulated by Zumino. It turns out to be equal to the β-function for N = 2 supersymmetric Yang–Mills theory despite differences that exist in the two models. PACS No.: 12.60Jv

β-FUNCTION IN A NON-COVARIANT YANG-MILLS THEORY

1991 ◽  
pp. 495-519
Author(s):  
H. B. NIELSEN ◽  
Masao NINOMIYA
Keyword(s):  
Yang Mills ◽  
Β Function

scholarly journals GENERALIZED DUAL SYMMETRY OF NON-ABELIAN THEORIES AND THE FREEZING OF αs

2006 ◽  
Vol 21 (22) ◽  
pp. 4479-4510 ◽  
Author(s):  
C. R. DAS ◽  
L. V. LAPERASHVILI ◽  
H. B. NIELSEN
Keyword(s):  
Phase Transition ◽  
Gluon Condensate ◽  
Energy Scale ◽  
Perturbative Expansion ◽  
Flux Tubes ◽  
Yang Mills ◽  
Dual Symmetry ◽  
Renormalization Group Equations ◽  
Transition Points ◽  
Β Function

The quantum Yang–Mills theory, describing a system of fields with nondual (chromoelectric g) and dual (chromomagnetic [Formula: see text]) charges and revealing the generalized dual symmetry, is developed by analogy with the Zwanziger formalism in QED. The renormalization group equations (RGE's) for pure non-Abelian theories are analyzed for both constants, α = g2/4π and [Formula: see text]. The pure [Formula: see text] gauge theory is investigated as an example. We consider not only monopoles, but also dyons. The behavior of the total SU(3) β-function is investigated in the whole region of α≡αs: 0≤α < ∞. It is shown that this β-function is antisymmetric under the interchange α ↔ 1/α and is given by the well-known perturbative expansion not only for α≪1, but also for α≫1. Using an idea of the Maximal Abelian Projection by 't Hooft, we have considered the formation of strings — the ANO flux tubes — in the Higgs model of scalar monopole (or dyon) fields. In this model we have constructed the behavior of the β-function in the vicinity of the point α = 1, where it acquires a zero value. Considering the phase transition points at α≈0.4 and α≈2.5, we give the explanation of the freezing of αs. The evolution of [Formula: see text] with energy scale μ and the behavior of V eff (μ) are investigated for both, perturbative and nonperturbative regions of QCD. It was shown that the effective potential has a minimum, ensured by the dual sector of QCD. The gluon condensate [Formula: see text], corresponding to this minimum, is predicted: [Formula: see text], in agreement with the well-known results.

scholarly journals A COMPARISON OF THE PROPER-TIME EQUATION AND THE RENORMALIZATION GROUP β-FUNCTION IN STRING THEORY

1995 ◽  
Vol 10 (21) ◽  
pp. 1565-1575
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Proper Time ◽  
Equations Of Motion ◽  
Equation Of Motion ◽  
The Other ◽  
Proportionality Factor ◽  
Yang Mills ◽  
Higher Covariant Derivative ◽  
Full Equation ◽  
Gauge Covariance ◽  
Β Function

It is known that there is a proportionality factor relating the β-function and the equations of motion viz. the Zamolodchikov metric. Usually this factor has to be obtained by other methods. The proper-time equation, on the other hand, is the full equation of motion. We explain the reasons for this and illustrate it by calculating corrections to Maxwell’s equation. The corrections are calculated to cubic order in the field strength, but are exact to all orders in derivatives. We also test the gauge covariance of the proper-time method by calculating higher (covariant) derivative corrections to the Yang-Mills equation.

scholarly journals Three-loop Yang–Mills β-function via the covariant background field method

2003 ◽  
Vol 657 ◽  
pp. 257-303 ◽  
Author(s):  
Jan-Peter Börnsen ◽  
Anton E.M. van de Ven
Keyword(s):  
Background Field ◽  
Field Method ◽  
Yang Mills ◽  
Background Field Method ◽  
Β Function
Sign in / Sign up

Export Citation Format

Share Document