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Using BCFW on-shell recursion techniques, we prove a sequence of explicit n-point Kawai-Lewellen-Tye relations between gravity and Yang-Mills amplitudes at tree level.

High Energy Physics - Theory · Physics 2014-11-21 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Bo Feng , Thomas Sondergaard

We consider double-winding, triple-winding and multiple-winding Wilson loops in the $SU(N)$ Yang-Mills gauge theory. We examine how the area law falloff of the vacuum expectation value of a multiple-winding Wilson loop depends on the number…

High Energy Physics - Theory · Physics 2017-11-22 Ryutaro Matsudo , Kei-Ichi Kondo

We show how to formulate celestial twistor amplitudes in Yang-Mills (YM) and gravity. This is motivated by a refined holographic correspondence between the twistor transform and the light transform in the boundary Lorentzian CFT. The…

High Energy Physics - Theory · Physics 2023-04-26 Graham R. Brown , Joshua Gowdy , Bill Spence

We analyze quantum Yang-Mills theory on $\mathbb{R}^2$ using a novel discretization method based on an algebraic analogue of stochastic calculus. Such an analogue involves working with "Gaussian" free fields whose covariance matrix is…

Mathematical Physics · Physics 2018-02-21 Timothy Nguyen

We study SU(N) supersymmetric Yang-Mills theory with massless adjoint matter defined on $M^3\otimes S^1$. The SU(N) gauge symmetry is broken maximally to $U(1)^{N-1}$, independent of the number of flavor and the boundary conditions of the…

High Energy Physics - Theory · Physics 2009-11-07 K. Takenaga

In 1+1 dimensions two different formulations exist of SU(N) Yang Mills theories in light-cone gauge; only one of them gives results which comply with the ones obtained in Feynman gauge. Moreover the theory, when considered in 1+(D-1)…

High Energy Physics - Theory · Physics 2011-04-15 A. Bassetto , G. Nardelli

For a massive gauge theory with Higgs mechanism in a physical gauge, the longitudinal polarization of gauge bosons can be naturally identified as mixture of the goldstone component and a remnant gauge component that vanishes at the limit of…

High Energy Physics - Phenomenology · Physics 2019-03-28 Junmou Chen

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…

High Energy Physics - Theory · Physics 2008-11-26 Peter Watson , Hugo Reinhardt

We present a new formula for all single trace tree amplitudes in four dimensional super Yang-Mills coupled to Einstein supergravity. Like the Cachazo-He-Yuan formula, our expression is supported on solutions of the scattering equations, but…

High Energy Physics - Theory · Physics 2016-01-27 Tim Adamo , Eduardo Casali , Kai A. Roehrig , David Skinner

Diagrammatic approaches to perturbation theory transformed the practicability of calculations in particle physics. In the case of extended theories of gravity, however, obtaining the relevant diagrammatic rules is non-trivial: we must…

High Energy Physics - Phenomenology · Physics 2024-10-22 Andrei Lazanu , Peter Millington , Sergio Sevillano Muñoz

We investigate to derive off-shell invariant twisted super Yang-Mills for N=2 in 2-dimensions and N=4 in 4-dimensions with a central charge by super connection ansatz formalism. We find off-shell invariant N=2 algebra with and without an…

High Energy Physics - Theory · Physics 2014-11-17 Noboru Kawamoto

By numerically investigating the conservation law of the supercurrent, we confirm the restoration of supersymmetry in Sugino's lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a…

High Energy Physics - Lattice · Physics 2009-02-02 Issaku Kanamori , Hiroshi Suzuki

Lattice simulations of Yang-Mills theories coupled with $N_f$ flavours of fermions in the adjoint representation provide a way to probe the non-perturbative regime of a plethora of different physical scenarios, such as Supersymmetric…

High Energy Physics - Lattice · Physics 2022-12-06 P. Butti , M. García Pérez , A. González-Arroyo , K. I. Ishikawa

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

We use the duality between color and kinematics to obtain scattering amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic tree amplitudes can be constructed from a double copy between (super-)Yang-Mills theory and…

High Energy Physics - Theory · Physics 2017-07-11 Henrik Johansson , Josh Nohle

After a brief review of matrix theory compactification leading to noncommutative supersymmetric Yang-Mills gauge theory, we present solutions for the fundamental and adjoint sections on a two-dimensional twisted quantum torus in two…

High Energy Physics - Theory · Physics 2007-05-23 Bogdan Morariu , Bruno Zumino

Yangian symmetry of amplitudes in $\mathcal{N}=4$ super Yang-Mills theory is formulated in terms of eigenvalue relations for monodromy matrix operators. The Quantum Inverse Scattering Method provides the appropriate tools to treat the…

High Energy Physics - Theory · Physics 2015-06-17 D. Chicherin , S. Derkachov , R. Kirschner

We consider a N=2 supersymmetric Yang-Mills-Chern-Simons model, coupled to matter, in the Wess-Zumino gauge. The theory is characterized by a superalgebra which displays two kinds of obstructions to the closure on the translations: field…

High Energy Physics - Theory · Physics 2008-02-03 Nicola Maggiore , Olivier Piguet , Mathieu Ribordy

A nonlinear vector supersymmetry for three-dimensional topological massive Yang-Mills is obtained by making use of a nonlinear but local and covariant redefinition of the gauge field.

High Energy Physics - Theory · Physics 2010-02-05 C. A. G. Sasaki , D. G. G. Sasaki , S. P. Sorella

A universal Lagrangian that defines various four-dimensional massive Yang-Mills theories without Higgs bosons is presented. Each of the theories is characterized by a constant k contained in the Lagrangian. For k=0, the Lagrangian reduces…

High Energy Physics - Theory · Physics 2009-10-31 Shinichi Deguchi