245 citations · 649 across the 16 of their papers we have counts for
16 papers
The Two-Loop Remainder Function for Eight and Nine Particles
John Golden, Andrew J. McLeod
Two-loop MHV amplitudes in planar supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure. We leverage this struct…
The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
John Golden, Andrew J. McLeod, Marcus Spradlin +1
We argue that the Sklyanin Poisson bracket on Gr(4,n) can be used to efficiently test whether an amplitude in planar supersymmetric Yang-Mills theory satisfies cluste…
Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
John Golden, Andrew J. McLeod
We review various aspects of cluster algebras and the ways in which they appear in the study of loop-level amplitudes in planar supersymmetric Yang-Mills theory. In…
Mellin Bootstrap for Scalars in Generic Dimension
John Golden, Daniel R. Mayerson
We use the recently developed framework of the Mellin bootstrap to study perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the crossing-symmetric Mellin s…
(No) Bootstrap for the Fractal Ising Model
John Golden, Miguel F. Paulos
We consider the conformal bootstrap for spacetime dimension . We determine bounds on operator dimensions and compare our results with various theoretical and numerical model…
A Cluster Bootstrap for Two-Loop MHV Amplitudes
John Golden, Marcus Spradlin
We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the coproduct com…
Thermomechanics of damage and fatigue by a phase field model
Giovambattista Amendola, Mauro Fabrizio
In the paper we present an isothermal model for describing damage and fatigue by the use of the Ginzburg-Landau (G-L) equation. Fatigue produces progressive damage, which is relate…
An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
John Golden, Marcus Spradlin
We describe a general algorithm which builds on several pieces of data available in the literature to construct explicit analytic formulas for two-loop MHV amplitudes in N=4 super-…
Cluster Polylogarithms for Scattering Amplitudes
John Golden, Miguel F. Paulos, Marcus Spradlin +1
Motivated by the cluster structure of two-loop scattering amplitudes in N=4 Yang-Mills theory we define "cluster polylogarithm functions". We find that all such functions of weight…
The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
John Golden, Marcus Spradlin
We present an explicit analytic calculation of the differential of the planar n-particle, two-loop MHV scattering amplitude in N=4 super Yang-Mills theory. The result is expressed…
Motivic Amplitudes and Cluster Coordinates
John Golden, Alexander B. Goncharov, Marcus Spradlin +2
In this paper we study motivic amplitudes--objects which contain all of the essential mathematical content of scattering amplitudes in planar SYM theory in a completely canonical w…
Collinear and Soft Limits of Multi-Loop Integrands in N=4 Yang-Mills
John Golden, Marcus Spradlin
It has been argued in arXiv:1112.6432 that the planar four-point integrand in N=4 super Yang-Mills theory is uniquely determined by dual conformal invariance together with the abse…
Coulomb blockade of strongly coupled quantum dots studied via bosonization of a channel with a finite barrier
John M. Golden, Bertrand I. Halperin
A pair of quantum dots, coupled through a point contact, can exhibit Coulomb blockade effects that reflect an oscillatory term in the dots' total energy whose value depends on whet…
Corrections to the universal behavior of the Coulomb-blockade peak splitting for quantum dots separated by a finite barrier
John M. Golden, Bertrand I. Halperin
Building upon earlier work on the relation between the dimensionless interdot channel conductance g and the fractional Coulomb-blockade peak splitting f for two electrostatically e…
Higher-Order Results for the Relation between Channel Conductance and the Coulomb Blockade for Two Tunnel-Coupled Quantum Dots
John M. Golden, Bertrand I. Halperin
We extend earlier results on the relation between the dimensionless tunneling channel conductance and the fractional Coulomb blockade peak splitting for two electrostatical…
Relation between Barrier Conductance and Coulomb Blockade Peak Splitting for Tunnel-Coupled Quantum Dots
John M. Golden, Bertrand I. Halperin
We study the relation between the barrier conductance and the Coulomb blockade peak splitting for two electrostatically equivalent dots connected by tunneling channels with bandwid…