scholarly journals QuasiBPSWilson loops, localization of loop equation by homology and exact beta function in the large-Nlimit of SU(N) Yang-Mills theory

2009 ◽  
Vol 2009 (05) ◽  
pp. 116-116 ◽  
Author(s):  
M Bochicchio
Keyword(s):  
Beta Function ◽  
Yang Mills ◽  
Loop Equation

scholarly journals Generalization of the Yang–Mills theory

2016 ◽  
Vol 31 (01) ◽  
pp. 1630003 ◽  
Author(s):  
G. Savvidy
Keyword(s):  
Beta Function ◽  
Coupling Constants ◽  
Standard Theory ◽  
Large Integer ◽  
Tree Level ◽  
Gauge Fields ◽  
Gauge Bosons ◽  
Yang Mills ◽  
Conformally Invariant ◽  
Vector Gauge

We suggest an extension of the gauge principle which includes tensor gauge fields. In this extension of the Yang–Mills theory the vector gauge boson becomes a member of a bigger family of gauge bosons of arbitrary large integer spins. The proposed extension is essentially based on the extension of the Poincaré algebra and the existence of an appropriate transversal representations. The invariant Lagrangian is expressed in terms of new higher-rank field strength tensors. It does not contain higher derivatives of tensor gauge fields and all interactions take place through three- and four-particle exchanges with a dimensionless coupling constant. We calculated the scattering amplitudes of non-Abelian tensor gauge bosons at tree level, as well as their one-loop contribution into the Callan–Symanzik beta function. This contribution is negative and corresponds to the asymptotically free theory. Considering the contribution of tensorgluons of all spins into the beta function we found that it is leading to the theory which is conformally invariant at very high energies. The proposed extension may lead to a natural inclusion of the standard theory of fundamental forces into a larger theory in which vector gauge bosons, leptons and quarks represent a low-spin subgroup. We consider a possibility that inside the proton and, more generally, inside hadrons there are additional partons — tensorgluons, which can carry a part of the proton momentum. The extension of QCD influences the unification scale at which the coupling constants of the Standard Model merge, shifting its value to lower energies.

scholarly journals CONSTRAINTS ON CONFORMAL WINDOWS FROM HOLOGRAPHIC DUALS

2011 ◽  
Vol 26 (30) ◽  
pp. 2227-2246 ◽  
Author(s):  
O. ANTIPIN ◽  
K. TUOMINEN
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Functional Form ◽  
Anomalous Dimension ◽  
Beta Function ◽  
Analytic Form ◽  
Yang Mills ◽  
Conformal Window ◽  
Holographic Duals ◽  
Dimensional Gravity

We analyze a beta function with the analytic form of Novikov–Shifman–Vainshtein–Zakharov result in the five-dimensional gravity-dilaton environment. We show how dilaton inherits poles and fixed points of such beta function through the zeros and points of extremum in its potential. Super Yang–Mills and supersymmetric QCD are studied in detail and Seiberg's electric-magnetic duality in the dilaton potential is explicitly demonstrated. Non-supersymmetric proposals of similar functional form are tested and new insights into the conformal window as well as determinations of scheme-independent value of the anomalous dimension at the fixed point are presented.

scholarly journals Regularization independent analysis of the origin of two loop contributions to N=1 Super Yang–Mills beta function

2011 ◽  
Vol 71 (5) ◽  
Author(s):  
H. G. Fargnoli ◽  
B. Hiller ◽  
A. P. Baêta Scarpelli ◽  
Marcos Sampaio ◽  
M. C. Nemes
Keyword(s):  
Beta Function ◽  
Yang Mills ◽  
Independent Analysis

scholarly journals Background independent exact renormalisation

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Kevin Falls
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Beta Function ◽  
Background Field ◽  
Flow Equation ◽  
Renormalisation Group ◽  
Gauge Invariant ◽  
Yang Mills ◽  
The One ◽  
Group Flow

AbstractA geometric formulation of Wilson’s exact renormalisation group is presented based on a gauge invariant ultraviolet regularisation scheme without the introduction of a background field. This allows for a manifestly background independent approach to quantum gravity and gauge theories in the continuum. The regularisation is a geometric variant of Slavnov’s scheme consisting of a modified action, which suppresses high momentum modes, supplemented by Pauli–Villars determinants in the path integral measure. An exact renormalisation group flow equation for the Wilsonian effective action is derived by requiring that the path integral is invariant under a change in the cutoff scale while preserving quasi-locality. The renormalisation group flow is defined directly on the space of gauge invariant actions without the need to fix the gauge. We show that the one-loop beta function in Yang–Mills and the one-loop divergencies of General Relativity can be calculated without fixing the gauge. As a first non-perturbative application we find the form of the Yang–Mills beta function within a simple truncation of the Wilsonian effective action.

MATRIX REGULARIZATION OF N = 4 SYM ON R × S3

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2199-2200 ◽  
Author(s):  
GORO ISHIKI
Keyword(s):  
Gauge Symmetry ◽  
Plane Wave ◽  
Regularization Method ◽  
Ward Identity ◽  
Continuum Limit ◽  
Beta Function ◽  
Yang Mills ◽  
Planar Limit ◽  
Matrix Regularization ◽  
The Continuum

We revealed a relationship between the plane wave matrix model (PWMM) and N =4 super Yang-Mills (SYM) theory on R × S3: N =4 SYM on R × S3 is equivalent to the theory around a certain vacuum of PWMM. It is suggested from this relation that N =4 SYM on R × S3 is regularized by PWMM in the planar limit. Because PWMM originally possesses the gauge symmetry and SU(2|4) symmetry, this regularization also preserves these symmetries. In order to check the validity of this matrix regularization method, we calculate the Ward identity and the beta function at the 1-loop level. We find that the Ward identity is satisfied and the beta function vanishes in the continuum limit. The former result is consistent with the gauge symmetry of PWMM. The latter suggests the possibility that the conformal symmety is restored in the continuum limit.

scholarly journals Non-perturbative QEG corrections to the Yang–Mills beta function

2010 ◽  
Vol 43 (9) ◽  
pp. 2393-2407 ◽  
Author(s):  
J.-E. Daum ◽  
U. Harst ◽  
M. Reuter
Keyword(s):  
Beta Function ◽  
Yang Mills
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