Studies in the Yang-Mills Field
نویسندگان
چکیده
منابع مشابه
Decomposing the Yang-mills Field
Recently we have proposed a set of variables for describing the physical parameters of SU(N) Yang–Mills field. Here we propose an off-shell generalization of our Ansatz. For this we envoke the Darboux theorem to decompose arbitrary one-form with respect to some basis of one-forms. After a partial gauge fixing we identify these forms with the preimages of holomorphic and antiholomorphic forms on...
متن کاملThe Yang-Mills Field Strength Revisited
The Yang-Mills field strength incorporating a non-abelian feature is one of the cornerstones of the standard model. Although Yang-Mills gauge theories have been around for over fifty years, surprisingly the derivation of the Yang-Mills field strength using classical gauge theory does not appear anywhere in the literature. In their 1954 paper, Yang and Mills had to invent a non-Abelian field str...
متن کاملA Renormalized Supersymmetry in the Topological Yang - Mills Field Theory
We reconsider the algebraic BRS renormalization of Witten’s topological Yang-Mills field theory by making use of a vector supersymmetry Ward identity which improves the finiteness properties of the model. The vector supersymmetric structure is a common feature of several topological theories. The most general local counterterm is determined and is shown to be a trivial BRS-coboundary. Work supp...
متن کاملThe Perturbation Theory of the Yang-Mills Field
We have suggested that the Yang-Mills(YM) field can be a kind of candidate of inflation at high energy scale or dark energy at the very low energy scale, which can naturally give the matter state of ω < 0, even it can give ω < −1. In this paper, we discuss the perturbation theory of the YM field, and give a series of equations which can describe the evolution of the YM field’s perturbation in t...
متن کاملYang–Mills measure and the master field on the sphere∗
Here is a first version of a study of the Yang–Mills measure on the sphere with structure group of large dimension. We focus in this article on unitary structure groups. We show that the Wilson loops converge in probability towards a deterministic field, called master field. As a corollary, we obtain that the Brownian loop in unitary matrices converges in non-commutative distribution as the dim...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1970
ISSN: 0556-2821
DOI: 10.1103/physrevd.2.3081