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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 ..."
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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
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 ..."
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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
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 ..."
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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
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 ..."
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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
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, ..."
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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
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 ..."
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Cited by 33 (1 self)
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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 ..."
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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. ..."
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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
in pure YangMills theory
, 2004
"... We analyze the restoration of the SlavnovTaylor (ST) identities for pure massless YangMills theory in the Landau gauge within the BPHZL renormalization scheme. The ZimmermannLowenstein IR regulator M(s−1) is introduced via a suitable BRST doublet, thus preserving the nilpotency of the BRST differ ..."
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Cited by 1 (0 self)
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We analyze the restoration of the SlavnovTaylor (ST) identities for pure massless YangMills theory in the Landau gauge within the BPHZL renormalization scheme. The ZimmermannLowenstein IR regulator M(s−1) is introduced via a suitable BRST doublet, thus preserving the nilpotency of the BRST
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 ..."
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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
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46,710