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Showing 1 to 20 of 72 for “"Yang-Mills"”.
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Yang-Mills replacement
… X, and replace it on a small ball ... with a Yang-Mills connection A that has the same restriction to the boundary [alpha]B4 as B, and we obtain bounds on the difference ... in terms of the drop in energy. Throughout, we work with connections of the lowest possible regularity ... (X), the …
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Ricci Yang-Mills Flow
… (g,A) combining the Ricci flow for g and the Yang-Mills flow for A which we dub Ricci Yang-Mills flow. We show that these equations are, up to di eomorphism equivalence, the gradient flow equations for a Riemannian functional on M. Associated to this energy functional is an entropy functional …
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Yang-Mills connections with isolated singularities
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.
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Supersymmetric Yang-Mills theories on the lattice
… the formulation of twisted supersymmetric Yang--Mills (SYM) theories in the continuum and also on the lattice. We focus on the maximally supersymmetric twisted SYM theories in four and two dimensions. The one-loop renormalization of the lattice four-dimensional SYM theory is investigated. …
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Quantum Yang-Mills on the two-sphere
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1989
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Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories.
… the self-dual sector of non-supersymmetric Yang-Mills. The symmetries are derived by virtue of a canonical transformation between the Yang-Mills fields and new fields that map the Chalmers-Siegel action to a free theory which has been used to construct a Lagrangian approach to the MHV rules. …
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Unitarizing high-energy scattering amplitudes in Yang-Mills theory
Thesis. 1978. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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Fermions in Yang-Mills gauge theories: invariance, covariance and topology
… of the Dirac operator describing fermions in Yang-Mills fields. This includes the study of anomalies of the gauge currents. We are particularly interested in the geometric and topological features in the problem. The complicated topological structures and properties present in these theories …
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Perturbative Quantum Gravity and Yang-Mills Theories in de Sitter Spacetime
… In the rst part we review the quantization of Yang-Mills theories and perturbative quantum gravity in curved spacetime. In the second part we calculate the Feynman propagators of the Faddeev- Popov ghosts for Yang-Mills theories and perturbative quantum gravity in the covariant gauge. In the …
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Three-loop renormalization of Yang-Mills theory in background field gauge
… of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term …
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High energy scattering amplitudes of Yang-Mills theory in the eighth order
Thesis. 1977. Sc.D.--Massachusetts Institute of Technology. Dept. of Physics.
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Asymptotics of the Yang-Mills Flow for Holomorphic Vector Bundles over Kahler Manifolds
… thesis we study the limiting properties of the Yang-Mills flow associated to a holomorphic vector bundle $E$ over an arbitrary K"{a}hler manifold $(X,omega )$. In particular we show that the flow is determined at infinity by the holomorphic structure of $E$. Namely, if we fix an integrable …
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Random surface interpretations of two-dimensional Liouville quantum gravity and Yang-Mills theory
… quantum gravity, and one related to Euclidean Yang-Mills theory in two dimensions. The first part introduces a specific regularization of Liouville quantum gravity surfaces. It also establishes the Polyakov-Alvarez formula on non-smooth surfaces with Brownian loops instead of the …
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Investigations in the theory of quantum corrections to classical solutions of the Yang-Mills equations
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 1979
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Nonperturbative study of SU(N) Yang–Mills theory with gauge invariant condensates of mass dimension two
… and other phenomena occurring in SU(N) Yang–Mills theories. This condensate has turned out to be essential for a nonperturbative study of the vacuum of these theories, and it has already been studied from several points of view in the literature. This condensate gives the gluon an …
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On the Variational Theory of Yang-Mills-Higgs Energies and the Structure of the Singular Set of $\mathbb{Z}$$_{2}$-Harmonic Spinors
This dissertation investigates Yang-Mills-Higgs energies and $\mathbb{Z}$$_{2}$-harmonic spinors, two classes of objects at the interface between analysis and geometry. In the first part, we present joint work with Alessandro Pigati and Daniel Stern on the variational theory of the self-dual …
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Martingales in Filtering and Geometry
… Third, we give a martingale characterization of Yang-Mills fields. This uses stochastic analogues of lasso-forms and integrated lassos. In dimension 4, we relate the Yang-Mills action to the quadratic variation of the martingale used in the characterization. For the special case of self-dual …
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Aspects of SU(2|4) symmetric field theories and the Lin-Maldacena geometries
… Matrix Model, maximally supersymmetric Yang-Mills theory on R x S² and N=4 supersymmetric Yang-Mills theory on R×S³/Zk. We find the supergravity solutions dual to generic vacua of the Plane-Wave Matrix Model and maximally supersymmetric Yang-Mills theory on R×S². We use the supergravity …
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Emergent Phenomena in Matrix Models
… in them. We start discussing a 2-matrix model of Yang-Mills type that exhibits an emergent topology in the strong coupling limit. We use Monte-Carlo simulations to obtain various observables that allow us to get more insight in the transition from the non-commutative regime towards the …
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Geometry of SU(3) Manifolds
… geometry; The second is pseudo-Hermitian-Yang-Mills connections or more generally, $\omega$-anti-self dual instantons; The third is pseudo-holomorphic curves.</p><p>For the first perspective, I am interested in the interplay between $SU(3)$ structures and their special Lagrangian …
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