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This thesis carries out a detailed investigation of the action for pure Yang- Mills theory which L. Mason formulated in twistor space. The rich structure of twistor space results in greater gauge freedom compared to the theory in ordinary…

高能物理 - 理论 · 物理学 2008-09-03 Wen Jiang

We propose and discuss a new approach to the analysis of the correlation functions which contain light-like Wilson lines or loops, the latter being cusped in addition. The objects of interest are therefore the light-like Wilson…

高能物理 - 唯象学 · 物理学 2013-03-12 I. O. Cherednikov , T. Mertens , F. F. Van der Veken

A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between…

高能物理 - 理论 · 物理学 2008-02-03 A. Bassetto , D. Colferai , G. Nardelli

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality…

高能物理 - 理论 · 物理学 2018-01-01 Mohamed M. Anber , Vito Pellizzani

N=2 supersymmetric U(N) Yang-Mills theory softly broken to N=1 by the superpotential of the adjoint scalar fields is discussed from the viewpoint of the Whitham deformation theory for prepotential. With proper identification of the…

高能物理 - 理论 · 物理学 2010-12-03 H. Itoyama , H. Kanno

We consider the motion of a charge in a large amplitude electrostatic wave with a triangular wave form relevant to an oscillating model of a pulsar magnetosphere. The (one-dimensional) orbit of a particle in such a wave is found exactly in…

高能天体物理现象 · 物理学 2011-02-11 D. B. Melrose , M. Z. Rafat , Q. Luo

We solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a…

高能物理 - 理论 · 物理学 2008-11-26 Paul Mansfield

We device an efficient book-keeping of excluded energy-sign and scattering-channel combinations for the loop four-momenta associated with massive quasi-particles, circulating in (connected) bubble diagrams subject to vertex constraints…

高能物理 - 理论 · 物理学 2017-07-21 Ingolf Bischer , Thierry Grandou , Ralf Hofmann

We study correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

高能物理 - 理论 · 物理学 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with $n$ windings a non trivial scaling intertwines $n$…

高能物理 - 理论 · 物理学 2009-11-07 A. Bassetto , G. Nardelli , A. Torrielli

We carry out further analysis of the Hamiltonian approach to Yang-Mills theory in 2+1 dimensions which helps to place the calculation of the vacuum wave function and the string tension in the context of a systematic expansion scheme. The…

高能物理 - 理论 · 物理学 2009-10-29 Dimitra Karabali , V. P. Nair , Alexandr Yelnikov

Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to…

高能物理 - 唯象学 · 物理学 2010-04-05 M. Beneke , A. P. Chapovsky , A. Signer , G. Zanderighi

The eigenvalue density of a Wilson loop matrix W associated with a simple loop in two-dimensional Euclidean SU(N) Yang-Mills theory undergoes a phase transition at a critical size in the infinite-N limit. The averages of 1/det(z-W) and…

高能物理 - 理论 · 物理学 2014-11-20 Robert Lohmayer

We present a two-loop calculation of the supersymmetric circular Wilson loop in the N=2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the…

高能物理 - 理论 · 物理学 2021-04-28 A. V. Belitsky , G. P. Korchemsky

We compute $e^{-AN}$ corrections to the Gross-Taylor 1/N expansion of the paritition function of two-dimensional SU(N) and U(N) Yang Mills theory. We find a very similar structure of mixing between holomorphic and anti-holomorphic sectors…

高能物理 - 理论 · 物理学 2010-02-03 Robert de Mello Koch , Antal Jevicki , Sanjaye Ramgoolam

This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree level by using twistor space techniques and…

高能物理 - 理论 · 物理学 2008-10-09 C. Vergu

The main issue of this work consists in extracting one or several finite values for the sum of series involved in perturbation theories. It is supposed to work for all cases in which two physical parameters are involved, and makes thorough…

数学物理 · 物理学 2007-05-23 Benoit Bellet

We show that the tree-level spectrum of heavy particles can be directly extracted from the Wilson coefficients of the corresponding effective field theory at low energies. This procedure is exact when the number of resonances is finite, and…

高能物理 - 理论 · 物理学 2026-04-20 Francesco Calisto , Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

We solve N=(8,8) super Yang-Mills theory in 1+1 dimensions at strong coupling to directly confirm the predictions of supergravity at weak coupling. We do our calculations in the large-N_c approximation using Supersymmetric Discrete…

高能物理 - 理论 · 物理学 2009-11-11 J. R. Hiller , S. S. Pinsky , N. Salwen , U. Trittmann

Coulomb gauge Yang-Mills theory within the first order formalism is considered with a view to deriving the propagator Dyson-Schwinger equations. The first order formalism is studied with special emphasis on the BRS invariance and it is…

高能物理 - 理论 · 物理学 2008-11-26 Peter Watson , Hugo Reinhardt