Study of adsorption complexes of aceto- and propionitrile on a SiO2 surface using self-consistent perturbation theory

1983 ◽  
Vol 18 (3) ◽  
pp. 300-303
Author(s):  
Yu. I. Gorlov ◽  
V. V. Brei ◽  
M. M. Konoplya
Keyword(s):  
Perturbation Theory ◽  
Sio2 Surface ◽  
Self Consistent ◽  
Adsorption Complexes

Self-Consistent Auxiliary Density Perturbation Theory

2021 ◽  
Author(s):  
Francisco A. Delesma ◽  
Rogelio I. Delgado-Venegas ◽  
Dennis R. Salahub ◽  
Jorge M. del Campo ◽  
Jesús N. Pedroza-Montero ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Density Perturbation ◽  
Self Consistent

scholarly journals DIFFICULTIES OF AN INFRARED EXTENSION OF DIFFERENTIAL RENORMALIZATION

1994 ◽  
Vol 09 (07) ◽  
pp. 1067-1096 ◽  
Author(s):  
L. V. AVDEEV ◽  
D. I. KAZAKOV ◽  
I. N. KONDRASHUK
Keyword(s):  
Perturbation Theory ◽  
Fourier Transformation ◽  
Two Dimensions ◽  
Test Scheme ◽  
Two Dimensional ◽  
Differential Identities ◽  
Feynman Integrals ◽  
Differential Renormalization ◽  
Self Consistent ◽  
Infrared Singularities

We investigate the possibility of generalizing the differential renormalization of D. Z. Freedman, K. Johnson and J. I. Latorre in an invariant fashion to theories with infrared divergencies via an infrared [Formula: see text] operation. Two-dimensional σ models and the four-dimensional ɸ4-theory diagrams with exceptional momenta are used as examples, while dimensional renormalization serves as a test scheme for comparison. We write the basic differential identities of the method simultaneously in co-ordinate and momentum space, introducing two scales which remove ultraviolet and infrared singularities. A consistent set of Fourier-transformation formulae is derived. However, the values for tadpole-type Feynman integrals in higher orders of perturbation theory prove to be ambiguous, depending on the order of evaluation of the subgraphs. In two dimensions, even earlier than this ambiguity manifests itself, renormalization-group calculations based on the infrared extension of differential renormalization lead to incorrect results. We conclude that the procedure of extended differential renormalization does not perform the infrared [Formula: see text] operation in a self-consistent way.

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