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The usual action of Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four dimensional manifolds. The non-linear generalization which is known as the Born-Infeld action has been given. In this…

高能物理 - 理论 · 物理学 2008-11-26 Kazuyuki Fujii , Hiroshi Oike , Tatsuo Suzuki

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

高能物理 - 理论 · 物理学 2015-06-26 I. L. Buchbinder

SU(3) lattice gauge theory is studied by means of an improved action where a $2 \times 2$ Wilson loop is supplemented to the standard plaquette term. By contrast to earlier studies using a tree level improvement, the prefactor of the $2…

高能物理 - 格点 · 物理学 2007-05-23 Kurt Langfeld

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this…

高能物理 - 理论 · 物理学 2017-10-25 S. Bondarenko , L. Lipatov , S. Pozdnyakov , A. Prygarin

Four dimensional N=1 supersymmetric Yang-Mills theory action is written in terms of the spinor superfields in transverse gauge. This action is seemingly first order in space-time derivatives. Thus, it suggests that the generalized fields…

高能物理 - 理论 · 物理学 2010-11-05 Omer F. Dayi

We perform a canonical change of the field variables of light-cone gauge massless QCD to obtain a lagrangian whose terms are proportional up to polarisation factors to MHV amplitudes and continued off shell by the CSW prescription. We solve…

高能物理 - 理论 · 物理学 2009-12-07 James H. Ettle , Tim R. Morris , Zhiguang Xiao

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it…

高能物理 - 理论 · 物理学 2012-08-27 S. James Gates,

We consider bosons on Euclidean R^4 that are minimally coupled to an external Yang-Mills field. We compute the logarithmically divergent part of the cut-off regularized quantum effective action of this system. We confirm the known result…

数学物理 · 物理学 2009-11-10 Juha Loikkanen , Cornelius Paufler

We obtain a compact expression for the octagon MHV amplitude / Wilson loop at 3 loops in planar N=4 SYM and in special 2d kinematics in terms of 7 unfixed coefficients. We do this by making use of the cyclic and parity symmetry of the…

高能物理 - 理论 · 物理学 2015-05-30 Paul Heslop , Valentin V. Khoze

I review results recently obtained within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge. In particular, I will present results for the ghost and gluon propagators and compare these with recent lattice data. Furthermore, I…

Using Lorentz covariant spinor helicity formalism we reorganize the unitary scalar superfield light-cone path integral for the N=4 supersymmetric Yang-Mills theory. In new variables in the chiral Fourier superspace the quadratic and cubic…

高能物理 - 理论 · 物理学 2010-12-24 Chih-Hao Fu , Renata Kallosh

As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off shell in a particular fashion. The…

高能物理 - 理论 · 物理学 2010-04-07 Freddy Cachazo , Peter Svrcek , Edward Witten

One-loop maximal helicity violating (MHV) amplitudes in N=4 super Yang-Mills (SYM) theories are analyzed, using the prescription of Cachazo, Svrcek, and Witten (CSW). The relations between leading N_c amplitudes A_{n;1} and sub-leading…

高能物理 - 理论 · 物理学 2008-11-26 Mingxing Luo , Congkao Wen

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

高能物理 - 理论 · 物理学 2022-07-22 Nihat Sadik Deger , Henning Samtleben

I describe a unified formalism for lattice fermions, in which the relativistic action of Wilson and the nonrelativistic and static actions appear as special cases. It is valid at all values of $m_q a$, including $m_q a \approx 1$. In the…

高能物理 - 格点 · 物理学 2008-02-03 Paul B. Mackenzie

Let $\mathfrak{g}$ be the Lie Algebra of a compact semi-simple gauge group. For a $\mathfrak{g}$-valued 1-form $A$, consider the Yang-Mills action \begin{equation} S_{{\rm YM}}(A) = \int_{\mathbb{R}^4} \left|dA + A \wedge A \right|^2\…

数学物理 · 物理学 2025-01-20 Adrian P. C. Lim

We investigate the perturbative part of Seiberg's low-energy effective action of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field…

高能物理 - 理论 · 物理学 2009-10-31 M. Chaichian , W. F. Chen , C. Montonen

Vertices describe the interactions between the fundamental degrees of freedom, and are therefore of vital importance in many ab-initio descriptions of field theory, especially using functional methods. To this end, we present the first…

高能物理 - 格点 · 物理学 2014-10-01 Leonard Fister , Axel Maas

One-loop amplitudes of gluons in supersymmetric Yang-Mills are four-dimensional cut-constructible. This means that they can be determined from their unitarity cuts. We present a new systematic procedure to explicitly carry out any finite…

高能物理 - 唯象学 · 物理学 2009-07-09 Ruth Britto , Evgeny Buchbinder , Freddy Cachazo , Bo Feng

The non-perturbative behavior of the N=2 supersymmetric Yang-Mills theories is both highly non-trivial and tractable. In the last three years the valuable progress was achieved in the instanton counting, the direct evaluation of the…

高能物理 - 理论 · 物理学 2008-12-19 Sergey Shadchin