scholarly journals Closed-form summation of renormalization-group-accessible logarithmic contributions to semileptonicBdecays and other perturbative processes

2002 ◽  
Vol 66 (1) ◽  
Author(s):  
M. R. Ahmady ◽  
F. A. Chishtie ◽  
V. Elias ◽  
A. H. Fariborz ◽  
N. Fattahi ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Closed Form

scholarly journals CASIMIR ENERGY OF 5D ELECTRO-MAGNETISM AND SPHERE LATTICE REGULARIZATION

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2245-2248 ◽  
Author(s):  
SHOICHI ICHINOSE
Keyword(s):  
Renormalization Group ◽  
Closed Form ◽  
Heat Kernel ◽  
Kernel Method ◽  
Casimir Energy ◽  
Closed String ◽  
Extra Space ◽  
Lattice Regularization ◽  
Expanded Form ◽  
Perturbative Treatment

Casimir energy is calculated in the 5D warped system. It is compared with the flat one. The position/ momentum propagator is exploited. A new regularization, called sphere lattice regularization, is introduced. It is a direct realization of the geometrical interpretation of the renormalization group. The regularized configuration is closed-string like. We do not take the KK-expansion approach. Instead the P/M propagator is exploited, combined with the heat-kernel method. All expressions are closed-form (not KK-expanded form). Rigorous quantities are only treated (non-perturbative treatment). The properly regularized form of Casimir energy, is expressed in the closed form. We numerically evaluate its Λ(4D UV-cutoff), ω(5D bulk curvature, warpedness parameter) and T(extra space IR parameter) dependence.

Closed-form irreducible differential formulations of the Wilson renormalization group

1983 ◽  
Vol 27 (6) ◽  
pp. 3311-3327 ◽  
Author(s):  
D. D. Vvedensky ◽  
T. S. Chang ◽  
J. F. Nicoll
Keyword(s):  
Renormalization Group ◽  
Closed Form ◽  
Wilson Renormalization Group

scholarly journals Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics

2003 ◽  
Vol 18 (19) ◽  
pp. 3417-3426 ◽  
Author(s):  
V. Elias ◽  
D. G. C. McKeon ◽  
T. G. Steele
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Closed Form ◽  
Cross Section ◽  
Method Of Characteristics ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
The Method Of Characteristics ◽  
Electron Positron Annihilation ◽  
Electron Positron

We discuss the application of the method of characteristics to the renormalization-group equation for the perturbative QCD series within the electron–positron annihilation cross-section. We demonstrate how one such renormalization-group improvement of this series is equivalent to a closed-form summation of the first four towers of renormalization-group accessible logarithms to all orders of perturbation theory.

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