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The Hierarchy problem and new dimensions at a millimeter

- N. Arkani-Hamed, S. Dimopoulos, G. Dvali
- Physics
- 11 March 1998

Abstract We propose a new framework for solving the hierarchy problem which does not rely on either supersymmetry or technicolor. In this framework, the gravitational and gauge interactions become… Expand

The String landscape, black holes and gravity as the weakest force

- N. Arkani-Hamed, L. Motl, A. Nicolis, C. Vafa
- Physics
- 2 January 2006

We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1)… Expand

What is the simplest quantum field theory?

- N. Arkani-Hamed, F. Cachazo, J. Kaplan
- Physics
- 11 August 2008

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its perturbation theory. An ever-increasing understanding of the structure of scattering amplitudes has however been… Expand

A duality for the S matrix

- N. Arkani-Hamed, F. Cachazo, C. Cheung, J. Kaplan
- Physics
- 31 July 2009

We propose a dual formulation for the S Matrix of $$ \mathcal N $$ = 4 SYM. The dual provides a basis for the “leading singularities” of scattering amplitudes to all orders in perturbation theory,… Expand

Scattering Amplitudes and the Positive Grassmannian

- N. Arkani-Hamed, J. Bourjaily, F. Cachazo, A. Goncharov, A. Postnikov, J. Trnka
- Physics, Mathematics
- 27 August 2012

We establish a direct connection between scattering amplitudes in planar four-dimensional theories and a remarkable mathematical structure known as the positive Grassmannian. The central physical… Expand

The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM

- N. Arkani-Hamed, J. Bourjaily, F. Cachazo, S. Caron-Huot, J. Trnka
- Physics
- 17 August 2010

We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes in $ \mathcal{N} = 4 $ SYM in the planar limit, manifesting the full Yangian symmetry of the theory. This… Expand

Causality, analyticity and an IR obstruction to UV completion

- A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi
- Physics
- 20 February 2006

We argue that certain apparently consistent low-energy effective field theories described by local, Lorentzinvariant Lagrangians, secretly exhibit macroscopic non-locality and cannot be embedded in… Expand

Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC

- N. Arkani-Hamed, S. Dimopoulos
- Physics
- 18 May 2004

The cosmological constant problem is a failure of naturalness and suggests that a fine-tuning mechanism is at work, which may also address the hierarchy problem. An example — supported by Weinberg's… Expand

New dimensions at a millimeter to a Fermi and superstrings at a TeV

- I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali
- Physics
- 24 April 1998

Abstract Recently, a new framework for solving the hierarchy problem has been proposed which does not rely on low energy supersymmetry or technicolor. The gravitational and gauge interactions unite… Expand

On tree amplitudes in gauge theory and gravity

- N. Arkani-Hamed, J. Kaplan
- Physics
- 16 January 2008

The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in… Expand

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