Feynman diagram ≈ Feynman diagram
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Revised and improved value of the QED tenth-order electron anomalous magnetic moment Open
In order to improve the theoretical prediction of the electron anomalous magnetic moment $a_e$ we have carried out a new numerical evaluation of the 389 integrals of Set V, which represent 6,354 Feynman vertex diagrams without lepton loops…
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AMFlow: A Mathematica package for Feynman integrals computation via auxiliary mass flow Open
AMFlow is a Mathematica package to numerically compute dimensionally regularized Feynman integrals via the recently proposed auxiliary mass flow method. In this framework, integrals are treated as functions of an auxiliary mass parameter a…
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Diagrammatic approach to nonlinear optical response with application to Weyl semimetals Open
Nonlinear optical responses are a crucial probe of physical systems including periodic solids. In the absence of electron-electron interactions, they are calculable with standard perturbation theory starting from the band structure of Bloc…
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Post-Minkowskian effective field theory for conservative binary dynamics Open
We develop an Effective Field Theory (EFT) formalism to solve for the conservative dynamics of binary systems in gravity via Post-Minkowskian (PM) scattering data. Our framework combines a systematic EFT approach to compute the deflection …
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Unitarity and the Holographic S-Matrix Open
The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the confor…
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Bi-local holography in the SYK model Open
We discuss large N rules of the Sachdev-Ye-Kitaev model and the bi-local representation of holography of this theory. This is done by establishing 1/N Feynman rules in terms of bi-local propagators and vertices, which can be evaluated foll…
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Conformal Bootstrap in Mellin Space Open
We propose a new approach towards analytically solving for the dynamical content of conformal field theories (CFTs) using the bootstrap philosophy. This combines the original bootstrap idea of Polyakov with the modern technology of the Mel…
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Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions Open
Obtaining an accurate ground state wave function is one of the great challenges in the quantum many-body problem. In this Letter, we propose a new class of wave functions, neural network backflow (NNB). The backflow approach, pioneered ori…
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Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors Open
We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimension…
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On the maximal cut of Feynman integrals and the solution of their differential equations Open
The standard procedure for computing scalar multi-loop Feynman integrals\nconsists in reducing them to a basis of so-called master integrals, derive\ndifferential equations in the external invariants satisfied by the latter and,\nfinally, …
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Vector Space of Feynman Integrals and Multivariate Intersection Numbers Open
Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for the construction of multivariate intersection numbers relevant to Feynman inte…
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Elliptic polylogarithms and iterated integrals on elliptic curves. II. An application to the sunrise integral Open
We introduce a class of iterated integrals that generalize multiple polylogarithms to elliptic curves. These elliptic multiple polylogarithms are closely related to similar functions defined in pure mathematics and string theory. We then f…
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An Overview of Strengths and Directionalities of Noncovalent Interactions: σ-Holes and π-Holes Open
Quantum mechanics, through the Hellmann–Feynman theorem and the Schrödinger equation, show that noncovalent interactions are classically Coulombic in nature, which includes polarization as well as electrostatics. In the great majority of t…
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Controlling Feynman diagrammatic expansions: Physical nature of the pseudogap in the two-dimensional Hubbard model Open
We introduce a method for summing Feynman's perturbation series based on diagrammatic Monte Carlo that significantly improves its convergence properties. This allows us to investigate in a controllable manner the pseudogap regime of the Hu…
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Unitarity, stability, and loops of unstable ghosts Open
We present a new understanding of the unstable ghost-like resonance which\nappears in theories such as quadratic gravity and Lee-Wick type theories.\nQuantum corrections make this resonance unstable, such that it does not appear\nin the as…
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The hadronic interaction model Sibyll 2.3c and Feynman scaling Open
The Monte Carlo model Sibyll has been designed for efficient simulation of hadronic multiparticle production up to the highest energies as needed for interpreting cosmic ray measurements. For more than 15 years, version 2.1 of Sibyll has b…
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Elliptic Double-Box Integrals: Massless Scattering Amplitudes beyond Polylogarithms Open
We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first derive a fourfold, rational (Feynman-)parametric representation …
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Doubt and the Algorithm: On the Partial Accounts of Machine Learning Open
In a 1955 lecture the physicist Richard Feynman reflected on the place of doubt within scientific practice. ‘Permit us to question, to doubt, to not be sure’, proposed Feynman, ‘it is possible to live and not to know’. In our contemporary …
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Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. I. Regularized Lagrangian Open
Within the framework of the effective field theory approach to the post-Newtonian approximation to General Relativity, we report the so far missing G^3 and G^4 sectors of the conservative two body dynamics at fourth perturbative order for …
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Symmetry for Flavor-Kinematics Duality from an Action Open
We propose a new representation of the nonlinear sigma model that exhibits a manifest duality between flavor and kinematics. The fields couple exclusively through cubic Feynman vertices which define the structure constants of an underlying…
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Deep Learning for Feynman’s Path Integral in Strong-Field Time-Dependent Dynamics Open
Feynman's path integral approach is to sum over all possible spatiotemporal paths to reproduce the quantum wave function and the corresponding time evolution, which has enormous potential to reveal quantum processes in the classical view. …
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Elliptic Feynman integrals and pure functions Open
A bstract We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-l…
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Gravitational Bremsstrahlung in the post-Minkowskian effective field theory Open
We study the gravitational radiation emitted during the scattering of two\nspinless bodies in the post-Minkowskian Effective Field Theory approach. We\nderive the conserved stress-energy tensor linearly coupled to gravity and the\nclassica…
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Bounded Collection of Feynman Integral Calabi-Yau Geometries Open
We define the rigidity of a Feynman integral to be the smallest dimension over which it is nonpolylogarithmic. We prove that massless Feynman integrals in four dimensions have a rigidity bounded by 2(L-1) at L loops provided they are in th…
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Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order Open
We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of nonstandard …
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All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order Open
We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of the differential equations is obtained by identifyi…
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Gauge Theory And Integrability, I Open
Several years ago, it was proposed that the usual solutions of the Yang-Baxter equation associated to Lie groups can be deduced in a systematic way from four-dimensional gauge theory. In the present paper, we extend this picture, fill in m…
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Cutkosky rules for superstring field theory Open
Superstring field theory expresses the perturbative S-matrix of superstring theory as a sum of Feynman diagrams each of which is manifestly free from ultraviolet divergences. The interaction vertices fall off exponentially for large space-…
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Classical gravitational scattering at $\\mathcal{O}(G^3)$ from Feynman diagrams Open
We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the test-p…
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Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders Open
The Sachdev-Ye-Kitaev (SYK) model is a model of q interacting fermions. Gross and Rosenhaus have proposed a generalization of the SYK model which involves fermions with different flavors. In terms of Feynman graphs, those flavors are remin…