Renormalization-group-invariant 1/Ncorrections to nontrivalφ4theory

1994 ◽  
Vol 50 (10) ◽  
pp. 6599-6609 ◽  
Author(s):  
L. v. Smekal ◽  
K. Langfeld ◽  
H. Reinhardt ◽  
R. F. Langbein
Keyword(s):  
Renormalization Group ◽  
Group Invariant

scholarly journals The Kaon B-parameter in quenched QCD

2006 ◽  
Vol 21 (04) ◽  
pp. 865-868
Author(s):  
◽  
STEFAN SINT
Keyword(s):  
Renormalization Group ◽  
Lattice Qcd ◽  
Systematic Errors ◽  
Group Invariant ◽  
Invariant Parameter

I report on a recent determination by the ALPHA collaboration of the kaon B-parameter using lattice QCD with Wilson type quarks. An effort is made to control all systematic errors except for the quenched approximation. The preliminary result for the renormalization group invariant parameter is [Formula: see text], which translates to [Formula: see text] in the [Formula: see text] scheme with anticommuting γ5.

ASYMPTOTIC BEHAVIOR OF MASSIVE Φ4 THEORY

1996 ◽  
Vol 11 (31) ◽  
pp. 2503-2509 ◽  
Author(s):  
HEMYAN A. AL-KUWARI ◽  
M.O. TAHA
Keyword(s):  
Asymptotic Behavior ◽  
Renormalization Group ◽  
Effective Potential ◽  
Asymptotic Formulas ◽  
Group Invariant

We construct renormalization group invariant forms of the effective potential of massive Φ4 theory that yield its asymptotic behavior for large and small values of the field and mass variables. Some consequences of these asymptotic formulas are discussed.

DIMENSIONAL REGULARIZATION IN THE 1/N EXPANSION

1992 ◽  
Vol 07 (14) ◽  
pp. 3265-3289 ◽  
Author(s):  
MASSIMO CAMPOSTRINI ◽  
PAOLO ROSSI
Keyword(s):  
Renormalization Group ◽  
Dimensional Regularization ◽  
Critical Index ◽  
Complete Agreement ◽  
Coupling Constant ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Group Invariant ◽  
Minimal Subtraction Scheme ◽  
Supersymmetric Version

Two classes of renormalizable 1/N expandable two-dimensional models are analyzed to O(1/N) and the asymptotic behavior of the renormalized two-point functions is nonperturbatively evaluated. These results are taken as a benchmark to study the applicability of dimensional regularization and perturbative minimal subtraction renormalization to the context of the 1/N expansion. Perturbation theory is applied to O(1/N) diagrams to all orders in the weak coupling constant and, after resummation, the same finite renormalization group invariant asymptotic amplitudes are obtained. As a byproduct, the O(1/N) contributions to renormalization group Z functions in the minimal subtraction scheme are extracted and the critical index η is evaluated and compared to previous nonperturbative results, finding complete agreement. The appendix is devoted to the extension of these results to a supersymmetric version of the models.

scholarly journals CP-ODD PHASES IN SLEPTON PAIR PRODUCTION

1998 ◽  
Vol 13 (14) ◽  
pp. 2307-2318 ◽  
Author(s):  
SCOTT THOMAS
Keyword(s):  
Renormalization Group ◽  
Pair Production ◽  
Cross Section ◽  
Parameter Space ◽  
Relative Phase ◽  
Tree Level ◽  
Group Invariant ◽  
Left Handed ◽  
Messenger Scale

The effect of CP-odd supersymmetric phases on slepton pair production are considered. It is shown that CP-even observables in e+e- and e-e- collisions, such as the total selectron cross section, can depend on CP-odd supersymmetric phases through interference between different tree level amplitudes. Left handed selectron pair production in e-e- collisions is particularly sensitive to the relative phase between the bino and wino masses. This sensitivity is not limited to any kinematic regime and extends over all of neutralino parameter space. The relative phase between the bino and wino masses is a renormalization group invariant at one-loop, and therefore provides a clean probe for operators which violate gaugino universality at the messenger scale.

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