The decoupling theorem and minimal subtraction

1981 ◽  
Vol 100 (5) ◽  
pp. 403-406 ◽  
Author(s):  
Burt A. Ovrut ◽  
Howard J. Schnitzer
Keyword(s):  
1982 ◽  
Vol 119 (4-6) ◽  
pp. 407-411 ◽  
Author(s):  
K.G. Chetyrkin ◽  
S.G. Gorishny ◽  
F.V. Tkachov

1981 ◽  
Vol 179 (3) ◽  
pp. 381-416 ◽  
Author(s):  
Burt A. Ovrut ◽  
Howard J. Schnitzer

Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro

As the main purpose of renormalization is not to remove divergences but to get essential information about the finite part of effective action, this chapter discusses some of the existing methods of solving this problem; such methods can be denoted the renormalization group. First, the minimal subtraction renormalization group in curved space is formulated. Next, the chapter shows how the overall μ‎-independence of the effective action enables one to interpret μ‎-dependence in some situations. As an example, the effective potential is restored from the renormalization group and compared with the expression calculated directly in chapter 13. In addition, the global conformal (scaling) anomaly is derived from the renormalization group.


2004 ◽  
Vol 19 (11) ◽  
pp. 1771-1791 ◽  
Author(s):  
SAMEER M. IKHDAIR ◽  
RAMAZAN SEVER

We calculate the [Formula: see text] mass spectrum, the splitting values and some other properties in the framework of the semirelativistic equation by applying the shifted large-N expansion technique. We use seven different central potentials together with an improved QCD-motivated interquark potentials calculated to two loops in the modified minimal-subtraction [Formula: see text] scheme. The parameters of these potentials are fitted to generate the semirelativistic bound states of [Formula: see text] quarkonium system in close conformity with the experimental and the present available calculated center-of-gravity (c.o.g.) data. Calculations of the energy bound states are carried out up to third order. Our results are in excellent fit with the results of the other works.


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