Journal of High Energy Physics, ISSN 1126-6708, 7/2014, Volume 2014, Issue 7, pp. 1 - 33

In a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension....

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TREE | AMPLITUDES | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TREE | AMPLITUDES | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 04/2016, Volume 2016, Issue 4

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2016, Volume 2016, Issue 6, pp. 1 - 25

We study a variety of field theories with vanishing single soft limits. In all cases, the structure of the soft limit is controlled by a larger theory, which...

Scattering Amplitudes | Quantum Physics | Sigma Models | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Effective field theories | SPACE | GRAVITATIONAL WAVES | GENERAL RELATIVITY | GRAVITY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Analysis | Nuclear physics | Poles | Byproducts | Scalars | Mathematical models | Representations | Born-Infeld theory | Recursion | Bosons | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Scattering Amplitudes | Quantum Physics | Sigma Models | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Effective field theories | SPACE | GRAVITATIONAL WAVES | GENERAL RELATIVITY | GRAVITY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Analysis | Nuclear physics | Poles | Byproducts | Scalars | Mathematical models | Representations | Born-Infeld theory | Recursion | Bosons | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2015, Volume 2015, Issue 7, pp. 1 - 43

The tree-level S-matrix of Einstein’s theory is known to have a representation as an integral over the moduli space of punctured spheres localized to the...

Scattering Amplitudes | Classical Theories of Gravity | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AMPLITUDES | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Yuan (China) | Analysis | Gravity | Reduction | Construction | Compressing | Mathematical analysis | Scattering | Scalars | Mathematical models | Formulas (mathematics) | Physics - High Energy Physics - Theory | General Relativity and Quantum Cosmology | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory

Scattering Amplitudes | Classical Theories of Gravity | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AMPLITUDES | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Yuan (China) | Analysis | Gravity | Reduction | Construction | Compressing | Mathematical analysis | Scattering | Scalars | Mathematical models | Formulas (mathematics) | Physics - High Energy Physics - Theory | General Relativity and Quantum Cosmology | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2015, Volume 2015, Issue 1, pp. 1 - 16

We present the building blocks that can be combined to produce tree-level S-matrix elements of a variety of theories with various spins mixed in arbitrary...

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | High Energy Physics - Theory

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 4/2016, Volume 2016, Issue 4, pp. 1 - 37

Contour integrals of rational functions over ℳ 0 , n $$ {\mathrm{\mathcal{M}}}_{0,n} $$ , the moduli space of n-punctured spheres, have recently appeared at...

Scattering Amplitudes | Superstrings and Heterotic Strings | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Nuclear and High Energy Physics

Scattering Amplitudes | Superstrings and Heterotic Strings | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Nuclear and High Energy Physics

Journal Article

Physical Review Letters, ISSN 0031-9007, 10/2014, Volume 113, Issue 17, p. 171601

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimensions. The new formula...

PHYSICS, MULTIDISCIPLINARY | AMPLITUDE | STRING THEORY | Polarization | Gravitation | Mathematical analysis | Scattering | Gauge invariance | Determinants | Vectors (mathematics) | Formulas (mathematics)

PHYSICS, MULTIDISCIPLINARY | AMPLITUDE | STRING THEORY | Polarization | Gravitation | Mathematical analysis | Scattering | Gauge invariance | Determinants | Vectors (mathematics) | Formulas (mathematics)

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 04/2016, Volume 2016, Issue 4, p. 1

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/JHEP04(2016)108 Contour...

Algorithms

Algorithms

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 12/2019, Volume 2019, Issue 12, pp. 1 - 21

The CHY construction naturally associates a vector in ℝ(n−3)! to every 2- regular graph with n vertices. Partial amplitudes in the biadjoint scalar theory are...

Lower bounds | Graphs | Graph theory | Compatibility | Apexes | Scattering Amplitudes | Field Theories in Higher Dimensions

Lower bounds | Graphs | Graph theory | Compatibility | Apexes | Scattering Amplitudes | Field Theories in Higher Dimensions

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2016, Volume 2016, Issue 8, pp. 1 - 20

We show how one-loop corrections to scattering amplitudes of scalars and gauge bosons can be obtained from tree amplitudes in one higher dimension. Starting...

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Yuan (China) | Trees | Poles | Amplitudes | Mathematical analysis | Scattering | Scattering amplitude | Scalars | Bosons | Particle physics | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Yuan (China) | Trees | Poles | Amplitudes | Mathematical analysis | Scattering | Scattering amplitude | Scalars | Bosons | Particle physics | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 22

We find n(n − 3)/2-dimensional regions of the space of kinematic invariants, where all the solutions to the scattering equations (the core of the CHY...

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TWISTOR SPACE | HIGH-ENERGY | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Astronomy | Intervals | Permutations | Equivalence | Mathematical analysis | Scattering | Particle physics | Invariants | Combinatorial analysis | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Nuclear and High Energy Physics | High Energy Physics - Theory

Scattering Amplitudes | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | TWISTOR SPACE | HIGH-ENERGY | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Astronomy | Intervals | Permutations | Equivalence | Mathematical analysis | Scattering | Particle physics | Invariants | Combinatorial analysis | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2013, Volume 2013, Issue 10, pp. 1 - 20

The complete tree-level S-matrix of four dimensional $ \mathcal{N}=4 $ super Yang-Mills and $ \mathcal{N}=8 $ supergravity has compact forms as integrals over...

Scattering Amplitudes | Extended Supersymmetry | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Maps | Amplitudes | Infrared | Wave functions | Resultants | Three dimensional | Physics - High Energy Physics - Theory

Scattering Amplitudes | Extended Supersymmetry | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Maps | Amplitudes | Infrared | Wave functions | Resultants | Three dimensional | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 9/2010, Volume 2010, Issue 9, pp. 1 - 92

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its perturbation theory. An ever-increasing understanding of the structure of...

Extended Supersymmetry | Global Symmetries | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Supergravit Models | Extended supersymmetry | Supergravit models | Global symmetries | GAUGE-THEORY | UNITARITY | ONE-LOOP AMPLITUDES | MULTIPLE BREMSSTRAHLUNG | SUPER-YANG-MILLS | N=8 SUPERGRAVITY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Extended Supersymmetry | Global Symmetries | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Supergravit Models | Extended supersymmetry | Supergravit models | Global symmetries | GAUGE-THEORY | UNITARITY | ONE-LOOP AMPLITUDES | MULTIPLE BREMSSTRAHLUNG | SUPER-YANG-MILLS | N=8 SUPERGRAVITY | TREE AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

2016, ISBN 1107086582, ix, 194 pages

Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of...

Graph theory | Quantum field theory | Combinatorial analysis | Particles (Nuclear physics) | Geometry, Algebraic | Scattering amplitude (nuclear physics) | Grassmann manifolds | Yang-Mills theory

Graph theory | Quantum field theory | Combinatorial analysis | Particles (Nuclear physics) | Geometry, Algebraic | Scattering amplitude (nuclear physics) | Grassmann manifolds | Yang-Mills theory

Book

Physical Review Letters, ISSN 0031-9007, 04/2013, Volume 110, Issue 16, p. 161301

This Letter presents a new formula which is conjectured to yield all tree amplitudes in N = 8 supergravity. The amplitudes are described in terms of higher...

PHYSICS, MULTIDISCIPLINARY | STRING THEORY

PHYSICS, MULTIDISCIPLINARY | STRING THEORY

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 6/2019, Volume 2019, Issue 6, pp. 1 - 33

We introduce a natural generalization of the scattering equations, which connect the space of Mandelstam invariants to that of points on ℂℙ1, to...

Scattering Amplitudes | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Astronomy

Scattering Amplitudes | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Astronomy

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2019, Volume 2019, Issue 2, pp. 1 - 46

In this paper we study an algebra that naturally combines two familiar operations in scattering amplitudes: computations of volumes of polytopes using...

Scattering Amplitudes | Supersymmetric Gauge Theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COHOMOLOGY | PHYSICS, PARTICLES & FIELDS | Polytopes | Amplitudes | Algebra | Singularities | Scattering | Canonical forms

Scattering Amplitudes | Supersymmetric Gauge Theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | COHOMOLOGY | PHYSICS, PARTICLES & FIELDS | Polytopes | Amplitudes | Algebra | Singularities | Scattering | Canonical forms

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2015, Volume 2015, Issue 6, pp. 1 - 16

We initiate an exploration of on-shell functions in N = 4 $$ \mathcal{N}=4 $$ SYM beyond the planar limit by providing compact, combinatorial expressions for...

Scattering Amplitudes | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Trees | Decoupling | Amplitudes | Singularities | Color | Texts | Exploration | Combinatorial analysis | Nuclear and High Energy Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Scattering Amplitudes | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Trees | Decoupling | Amplitudes | Singularities | Color | Texts | Exploration | Combinatorial analysis | Nuclear and High Energy Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 715, Issue 1, pp. 499 - 522

We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over...

GAUGE-THEORY | CROSS-SECTIONS | QCD | ONE-LOOP | SCATTERING | PHYSICS, PARTICLES & FIELDS

GAUGE-THEORY | CROSS-SECTIONS | QCD | ONE-LOOP | SCATTERING | PHYSICS, PARTICLES & FIELDS

Journal Article