Download E-books Grassmannian Geometry of Scattering Amplitudes PDF

Outlining a innovative reformulation of the rules of perturbative quantum box concept, this booklet is a self-contained and authoritative research of the appliance of this new formula to the case of planar, maximally supersymmetric Yang-Mills thought. The e-book starts off by way of deriving connections among scattering amplitudes and Grassmannian geometry from first rules prior to introducing novel actual and mathematical rules in a scientific demeanour available to either physicists and mathematicians. the main gamers during this strategy are on-shell features that are heavily concerning yes sub-strata of Grassmannian manifolds known as positroids - by way of which the type of on-shell services and their family turns into combinatorially occur. this is often a necessary creation to the geometry and combinatorics of the positroid stratification of the Grassmannian and a terrific textual content for complicated scholars and researchers operating within the components of box conception, excessive power physics, and the wider fields of mathematical physics.

Show description

Read Online or Download Grassmannian Geometry of Scattering Amplitudes PDF

Best Algebraic Geometry books

The Many Facets of Geometry: A Tribute to Nigel Hitchin (Oxford Science Publications)

Few humans have proved extra influential within the box of differential and algebraic geometry, and in exhibiting how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made basic contributions in parts as various as: spin geometry, instanton and monopole equations, twistor idea, symplectic geometry of moduli areas, integrables structures, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, specified Lagrangian geometry and replicate symmetry, concept of grebes, and plenty of extra.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and methods during this zone. compatible for self-study by means of a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In line with a direction given to gifted high-school scholars at Ohio college in 1988, this e-book is largely a sophisticated undergraduate textbook concerning the arithmetic of fractal geometry. It properly bridges the distance among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Higher-Dimensional Algebraic Geometry (Universitext)

The class thought of algebraic types is the focal point of this booklet. This very energetic zone of analysis remains to be constructing, yet an awesome volume of information has gathered during the last 20 years. The authors target is to supply an simply available creation to the topic. The e-book begins with preparatory and conventional definitions and effects, then strikes directly to speak about a number of features of the geometry of delicate projective kinds with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version application of type of algebraic kinds by way of proving the cone and contraction theorems.

Additional info for Grassmannian Geometry of Scattering Amplitudes

Show sample text content

Rated 4.54 of 5 – based on 17 votes