Results 1  10
of
5,551
Holomorphic YangMills theory . . .
, 1995
"... We study the path integrals of the holomorphic YangMills theory on compact Kähler surface with b + 2 = 1. Based on the results, we examine the correlation functions of the topological YangMills theory and the corresponding Donaldson invariants as well as their transition formulas. ..."
Abstract
 Add to MetaCart
We study the path integrals of the holomorphic YangMills theory on compact Kähler surface with b + 2 = 1. Based on the results, we examine the correlation functions of the topological YangMills theory and the corresponding Donaldson invariants as well as their transition formulas.
of Topological YangMills Theory
, 1992
"... We discuss the algebraic structure of the various BRST symmetries associated with topological YangMills theory as a generalization of the BRS analysis developed for the nonAbelian anomaly in the local YangMills theory. We show that our BRST algebra leads to an extended Russian formula and descent ..."
Abstract
 Add to MetaCart
We discuss the algebraic structure of the various BRST symmetries associated with topological YangMills theory as a generalization of the BRS analysis developed for the nonAbelian anomaly in the local YangMills theory. We show that our BRST algebra leads to an extended Russian formula
Topological YangMills Theories
, 2003
"... Abstract: Using topological YangMills theory as example, we discuss the definition and determination of observables in topological field theories (of Wittentype) within the superspace formulation proposed by Horne. This approach to the equivariant cohomology leads to a set of bidescent equations ..."
Abstract
 Add to MetaCart
Abstract: Using topological YangMills theory as example, we discuss the definition and determination of observables in topological field theories (of Wittentype) within the superspace formulation proposed by Horne. This approach to the equivariant cohomology leads to a set of bidescent equations
in Topological YangMills Theory
, 1992
"... We introduce the covariant forms for the nonAbelian anomaly counterparts in topological YangMills theory, which satisfies the topological descent equation modulo terms that vanish at the space of BRST fixed points. We use the covariant anomalies as a new set of observables, which can absorb both δ ..."
Abstract
 Add to MetaCart
We introduce the covariant forms for the nonAbelian anomaly counterparts in topological YangMills theory, which satisfies the topological descent equation modulo terms that vanish at the space of BRST fixed points. We use the covariant anomalies as a new set of observables, which can absorb both
Super Yang–Mills Theories
, 2000
"... Abstract: An algebraic proof of the nonrenormalization theorem for the perturbative beta function of the coupling constant of N = 2 Super Yang–Mills theory is provided. The proof relies on a fundamental relationship between the N = 2 Yang–Mills action and the local gauge invariant polynomial Tr φ 2, ..."
Abstract
 Add to MetaCart
Abstract: An algebraic proof of the nonrenormalization theorem for the perturbative beta function of the coupling constant of N = 2 Super Yang–Mills theory is provided. The proof relies on a fundamental relationship between the N = 2 Yang–Mills action and the local gauge invariant polynomial Tr φ 2
YangMills Theory and Geometry
, 2005
"... In this first section we attempt to give a brief overview of mathematical work related to YangMills (at least as it seeems from the authors perspective). We do not go into any technical details or definitions here: most of these are well represented in the literature, for example [17]. (We also men ..."
Abstract
 Add to MetaCart
mention a survey article [15] of the author, in a somewhat similar vein, which contains more detail.) In the following two sections we take up some of the ideas again, at a slightly more technical level. YangMills theory had a profound effect on the development of differential and algebraic geometry over
Higher YangMills theory
"... Electromagnetism can be generalized to Yang–Mills theory by replacing the group U(1) by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2form electromagnetism to a kind of ‘higherdimensional Yang–Mills theory’. It turns out that to do this, one should repla ..."
Abstract

Cited by 34 (2 self)
 Add to MetaCart
Electromagnetism can be generalized to Yang–Mills theory by replacing the group U(1) by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2form electromagnetism to a kind of ‘higherdimensional Yang–Mills theory’. It turns out that to do this, one should
YangMills Theory
, 1995
"... By studying the pure YangMills theory on a circle, as well as an adjoint scalar coupled to the gauge field on a circle, we propose a quenching prescription in which the combination of the spatial component of the gauge field and P is treated as a dynamic variable. Averaging over momentum is not nec ..."
Abstract
 Add to MetaCart
By studying the pure YangMills theory on a circle, as well as an adjoint scalar coupled to the gauge field on a circle, we propose a quenching prescription in which the combination of the spatial component of the gauge field and P is treated as a dynamic variable. Averaging over momentum
noncommutative YangMills theory
, 2002
"... Abstract: We study the correlator of two parallel Wilson lines in twodimensional noncommutative YangMills theory, following two different approaches. We first consider a perturbative expansion and resum all planar diagrams, planarity acquiring a meaning in two dimensions only in the largeN limit. ..."
Abstract
 Add to MetaCart
Abstract: We study the correlator of two parallel Wilson lines in twodimensional noncommutative YangMills theory, following two different approaches. We first consider a perturbative expansion and resum all planar diagrams, planarity acquiring a meaning in two dimensions only in the largeN limit
supersymmetric YangMills theories
, 809
"... We calculate the renormalization constants of the N = 1, N = 2, N = 4 supersymmetric YangMills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the betafunctions for N = 1 and N = 4 SYM theories are the same from the different trip ..."
Abstract
 Add to MetaCart
We calculate the renormalization constants of the N = 1, N = 2, N = 4 supersymmetric YangMills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the betafunctions for N = 1 and N = 4 SYM theories are the same from the different
Results 1  10
of
5,551