Pole expansion of the deuteron vertex function constrained by modern data

1984 ◽  
Vol 316 (1) ◽  
pp. 55-60 ◽  
Author(s):  
M. P. Locher ◽  
A. Švarc
Keyword(s):  
Vertex Function

scholarly journals Edge Pair Sum Labeling

2013 ◽  
Vol 5 (3) ◽  
pp. 457-467 ◽  
Author(s):  
P. Jeyanthi ◽  
T. Saratha Devi
Keyword(s):  
Vertex Function ◽  
Injective Map

An injective map f : E(G) ? {±1, ±2, … ,±q } is said to be an edge pair sum labeling of a graph G(p, q) if the induced vertex function f*:V(G) ? Z – {0} defined by f*(?) = ?e?E? f(e)   is one-one, where  denotes the set of edges in G that are incident with a vertex v and  f*(V(G)) is either of the form {±k1, ±k2, … , ±kp/2} or {±k1, ±k2, … , ±k(p-1)/2}U{kp/2}according as p is even or odd. A graph with an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that path Pn, cycle Cn, triangular snake, PmUK1,n, Cn?Kmc are edge pair sum graphs. Keywords: Pair sum graph, edge pair sum labeling, edge pair sum graph.© 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v5i3.15001 J. Sci. Res. 5 (3), 457-467 (2013)

CRUCIAL ROLE OF THE COULOMB INTERACTION IN HTSC MECHANISM

2005 ◽  
Vol 19 (01n03) ◽  
pp. 107-109 ◽  
Author(s):  
E. A. PASHITSKII ◽  
V. I. PENTEGOV
Keyword(s):  
Coulomb Interaction ◽  
Vertex Function ◽  
Cooper Pairing ◽  
Superconducting Transition ◽  
Coulomb Correlation ◽  
Critical Temperatures ◽  
Effective Electron ◽  
Electron Attraction ◽  
D Wave

We present results of numerical calculations emphasizing the central role of the Coulomb interaction in the mechanism of d-wave Cooper pairing in layered cuprate metal-oxides. We demonstrate that many-particle Coulomb correlation described by the Coulomb vertex function Γ substantially enhances the effective electron-electron attraction in the d-wave Cooper-pairing channel in these compounds. Such a "Coulomb" mechanism of anisotropic Cooper pairing may provide high superconducting transition critical temperatures (Tc⩾100 K ) for optimum-doped cuprates.

FRACTAL VERTEX FOR ELECTRON–ELECTRON INTERACTIONS

1993 ◽  
Vol 07 (01) ◽  
pp. 13-18 ◽  
Author(s):  
G. D. MAHAN
Keyword(s):  
Dielectric Function ◽  
Vertex Function ◽  
Numerical Solutions ◽  
Fractal Character ◽  
Electron Interactions

The vertex function is derived for electron–electron interactions which includes all ladder diagrams on all vertices. The equation has a fractal character because the end of each ladder has a vertex which is dressed by more ladders. Numerical solutions are presented show the vertex function gives excellent Hubbard corrections to the dielectric function.

The t-dn vertex function and the (t, d) reaction

1973 ◽  
Vol 209 (1) ◽  
pp. 77-90 ◽  
Author(s):  
L.J.B. Goldfarb ◽  
J.A. Gonzalez ◽  
A.C. Phillips
Keyword(s):  
Vertex Function

scholarly journals Some Remarks on the Vertex Function

1960 ◽  
Vol 119 (3) ◽  
pp. 1127-1128 ◽  
Author(s):  
A. Minguzzi ◽  
R. F. Streater
Keyword(s):  
Vertex Function

The full vertex functions constrained by the longitudinal and transverse Ward–Takahashi identities in massless QED3 theory

2021 ◽  
pp. 2150039
Author(s):  
Yang Yu ◽  
Jian-Feng Li
Keyword(s):  
Vertex Function ◽  
Quantum Electrodynamics ◽  
Gauge Theories ◽  
Chiral Limit ◽  
Wilson Line ◽  
Axial Vector ◽  
Fermion Masses ◽  
Low Dimensional ◽  
Full Vector

In this paper, we find apart from the Ward–Takahashi (WT) identity, the identity between gamma matrices can also constrain the vertex functions in low-dimensional gauge theories. In (1 + 1) dimensions, the identity between gamma matrices gives the identity between vector and axial-vector vertex functions while in (2 + 1) dimensions it leads to the identity between vector and tensor vertex functions. Then, we derive the expressions of the full scalar, vector and tensor vertex functions in (2 + 1) dimensions Quantum Electrodynamics (QED3) by using the longitudinal and transverse WT identities for vector and tensor currents. Furthermore, we find that in the chiral limit with zero fermion masses, the contribution of Wilson line in full vector vertex function is eliminated and the full vector vertex function is strictly expressed in terms of the fermion propagators when using the identity between vector and tensor vertex functions to further constraint the vertex functions.

Sign in / Sign up

Export Citation Format

Share Document