126,673 research outputs found

    T-16 Side B - Doyle Mills

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    Mr. Mills continues to talk about amalgamation and his time on City Council

    Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories.

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    We construct infinite dimensional symmetries of the Chalmers-Siegel action describing 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. We describe the symmetries of the free theory in a quite general way which are an infinite dimensional algebra in the group algebra of isometries. We dimensionally reduce the symmetries of the action to write down symmetries of the Hitchin system and further, we extend the construction to the N=4N=4 supersymmetric, self-dual theory. We review recent developments in the approach to calculating N=4 Yang-Mills scattering amplitudes using symmetry arguments. Super-conformal symmetry and the recently discovered dual super-conformal symmetry have been shown to be related as a Yangian algebra and moreover, anomalous terms appearing in their action on amplitudes lead to deformations of the generators which gives rise to recursive relationships between amplitudes

    T-16 Side A - Doyle Mills

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    Mr. Mills served on the Corner Brook City Council (1978-1981) and was president of the “Concerned Citizens Committee.” He talks about municipal politics from the 1950s to the 1970s, amalgamation, and his time on city council

    William T. Hubbard duplex, architectural drawings, 1917

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    Architectural drawings for a duplex commissioned by William T. Hubbard and created by the Mills, Rhines, Bellman, and Nordhoff architectural firm of Toledo, Ohio. The drawings are black ink on linen, the commission number for the project is 2322, and they were created in 1917. The drawings include exterior elevations, floorplans, and a site pan. As of 2019 the building has not been demolished

    Hill View, Waterloo, freeholds [cartographic material] : sale on the ground, Sat. 5th June 1886, at 3.30 /

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    Sales plan for land bounded by Botany Road, and Johnson, Reserve and Queen's Streets, Waterloo (now part of Beaconsfield), New South Wales.; "J.T. Cahill, draftsman."; "Terms: 5 deposit on each lot & the balance 1 per month with 6% interest."; Also available online http://nla.gov.au/nla.map-lfsp2978

    Nahm’s equation and the search for classical solutions in Yang-Mills theory

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    The history of the theory of magnetic monopoles in classical electrodynamics and unified gauge theories is reviewed, and the Atiyah-Ward and Atiyah-Drinfe1d-Hitchin-Man in constructions of exact classical solutions to the self-dual Yang-Mills equations are described. It is shown that the one-dimensional self-dual equation introduced by Nahm can be reformulated as a Rieraann-Hi1bert problem through the twister transform previously used by Ward for monopole and instanton fields, and a general formula for the patching matrix is derived. This is evaluated in some special cases, and a few simple examples are given where Nahm's equation can be solved by this method. An attempt is made to generalize the ADHM construction to treat non self dual Yang-Mills fields, with only partial success. The one-dimensional analogue of the second-order Yang-Mills equation, the so-called non self dual Nahm equation, is investigated, paying particular attention to a simple ansatz in which translation of the fields is equivalent to a mere scale transformation of the matrices T(_i)(Z). For these 'separable solutions' the matrices satisfy certain cubic equations, whose solution space depends critically on the nature of the Lie algebra under consideration. It is shown that corresponding to certain Riemannian symmetric pairs there are one-parameter families of 'interpolating solutions' to the cubic equations, which join oppositely oriented bases of a Lie subalgebra. The associated matrix-valued functions T(_i)(z) therefore interpolate between solutions of 'selfdual' and 'antiselfdual' Nahm equations

    Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations

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    We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach are represented in terms of quasi-determinants and belong to a non-commutative version of the Atiyah–Ward ansatz. In the commutative limit, our results coincide with those by Corrigan, Fairlie, Yates and Goddard

    My, but that man had comical eyes [first line of chorus]

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    strophic with choruspiano and voiceads on inside bottom margins, on inside front, and on back covers for F.A. Mills stockJohns Hopkins University, Levy Sheet Music Collection, Box 145, Item 154aWords by Bartley Costello. Music by Kerry Mills.[T. A. Scott]photo of T. A. Scott by Wheeler N.Y

    Why Yang-Mills theories?

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    The elucidation of the gauge principle ``is the most pressing problem in current philosophy of physics" Redhead. This paper argues two points that contribute to this elucidation in the context of Yang-Mills theories. 1) Yang-Mills theories, including quantum electrodynamics, form a class. They should be interpreted together. To focus on electrodynamics is a mistake. 2) The essential role of gauge and BRST surplus is to provide a local theory that can be quantized and would be equivalent to the quantization of the non-local reduced theory

    Emergent inert adjoint scalar field in SU(2) Yang-Mills thermodynamics due to coarse-grained topological fluctuation

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    We compute the phase and the modulus of an energy- and pressure-free, composite, adjoint, and inert field φ in an SU(2) Yang-Mills theory at large temperatures. This field is physically relevant in describing part of the ground-state structure and the quasiparticle masses of excitations. The field φ possesses nontrivial S1-winding on the group manifold S3. Even at asymptotically high temperatures, where the theory reaches its Stefan-Boltzmann limit, the field φ, though strongly power suppressed, is conceptually relevant: its presence resolves the infrared problem of thermal perturbation theory
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