Singularities of the Triangle Diagram Vertex Function
نویسندگان
چکیده
منابع مشابه
Dynkin Graphs and Triangle Singularities
In Arnold’s classification list of singularities (Arnold [1].) we find interesting singularities to be studied. Though we find singularities of any dimension in Arnold’s list, we consider singularities of dimension two in particular. Among them there is a class called exceptional singularities or triangle singularities. This class consists of fourteen singularities. It is known that they are cl...
متن کاملCausal construction of the massless vertex diagram
In the traditional approach to quantum field theory, one starts from classical fields and a Lagrangean which describes the interaction. These objects get quantized and S-matrix elements or Greens functions are constructed with the help of the Feynman rules. A typical example which is used in this paper as a model theory is the massless Φ3-theory, where the interaction Hamiltonian density is giv...
متن کاملTriangle strings: Structures for augmentation of vertex-disjoint triangle sets
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a r t i c l e i n f o a b s t r a c t Vertex-disjoint triangle sets (triangle sets for short) have been studied extensively....
متن کاملDynkin Graphs, Gabriélov Graphs and Triangle Singularities
We consider fourteen kinds of two-dimensional triangle hypersurface singularities, and consider what kinds of combinations of rational double points can appear on small deformation fibers of these triangle singularities. We show that possible combinations can be described by Gabriélov graphs and Dynkin graphs. 1. Review of results by Russian mathematicians In this article we assume that every v...
متن کاملGeneralized Duffy Transformation for Integrating Vertex Singularities
For an integrand with a 1/r vertex singularity, the Duffy transformation from a triangle (pyramid) to a square (cube) provides an accurate and efficient technique to evaluate the integral. In this paper, we generalize the Duffy transformation to power singularities of the form p(x)/r, where p is a trivariate polynomial and α > 0 is the strength of the singularity. We use the map (u, v, w) → (x,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Australian Journal of Physics
سال: 1973
ISSN: 0004-9506
DOI: 10.1071/ph730691