Classical polylogarithms for amplitudes and wilson loops torrent

This equivalence was first suggested at strong coupling using the adscft correspondence and has since been verified at weak coupling to one loop in. January9,2012 analyticresultforthetwoloopsixpointnmhv amplitudeinn. There is growing evidence that onshell gluon scattering amplitudes in planar n 4 sym theory are equivalent to wilson loops evaluated over contours consisting of straight, lightlike segments defined by the momenta of the external gluons. Singlevalued harmonic polylogarithms and the multiregge limit. In deriving our formula we rely on results from the theory of motives. Introductory lectures on amplitudes, wilson loops and symmetries 2. Eliminating spurious poles from gaugetheoretic amplitudes.

Classical polylogarithms for amplitudes and wilson loops, phys. We provide a simple analytic formula for the twoloop sixpoint ratio function of planar n 4 super yangmills theory. Free happy birthday stock video footage 3,294 free. Twoloop sixgluon maximally helicity violating amplitude in maximally supersymmetric yangmills. Classical polylogarithms foramplitudes and wilson loops. We consider the hexagonal wilson loop dual to the sixpoint mhv amplitude in planar n 4 super yangmills theory. All content submitted by third parties on is the sole responsibility of those third parties. Volovich, classical polylogarithms for amplitudes and wilson loops. Wilson loops and qcdstring scattering amplitudes journal. Grassmannian geometry of scattering amplitudes by nima. Jhep012012024 published for sissa by springer received. Classical polylogarithms for amplitudes and wilson loops.

A recent, integrabilitybased conjecture in the framework of the wilson loop ope for \ \mathcaln4 \ sym theory, predicts the leading ope contribution for the hexagon mhv remainder function and nmhv ratio function to all loops, in integral form. Boundaries of amplituhedra and nmhv symbol alphabets at two loops prlina, igor et al. Multiregge kinematics and the moduli space of riemann. Name, position, academic department anastasia volovich professor of physics department of physics brown university 2.

We take no responsibility for the content on any website which we link to, please use your own discretion while surfing the links. Recent citations cluster algebras and the subalgebra constructibility of the. Physical mathematics and the future rutgers physics. Goncharov a, spradlin m, vergu c and volovich a 2010 classical polylogarithms for amplitudes and wilson loops arxiv.

We generalize modern ideas about the duality between wilson loops and scattering amplitudes in n4 super yangmills theory to large n qcd by deriving a general relation between qcd meson scattering amplitudes and wilson loops. We explore various proposals for extending this duality to generic nonmhv amplitudes. Notes on polytopes, amplitudes and boundary configurations. The free classical loops, samples and sounds listed here have been kindly uploaded by other users. We obtain a compact expression for the octagon mhv amplitude wilson loop at 3 loops in planar \ \mathcaln 4 \ sym and in special 2d kinematics in terms of 7 unfixed coefficients. Volovich2 1department of mathematics, brown university, box 1917, providence, rhode island 02912, usa 2department of physics, brown university, box 1843, providence, rhode island 02912, usa.

From amplitudes to wilson loops andreas brandhuber queen mary, university of london. Duhr, claude ucl marzucca, robin ucl verbeek, bram ucl et al we show that scattering amplitudes in planar n 4 super yangmills in multiregge kinematics can naturally be expressed in terms of singlevalued iterated integrals on the moduli space of riemann spheres with marked points. Zvi bern, thomas gehrmann, frank petriello, anastasia volovich. The harmony of scattering amplitudes apr 4 jul 8, 2011 coordinators. Hexagon wilson loop ope and harmonic polylogarithms. From scattering amplitudes to classical potentials in the postminkowskian expansion.

Kosower, maximally supersymmetric planar yangmills amplitudes at five loops. Finally, we comment on the nonexpressibility in terms of polylogarithms of a particular twoloop amplitude in n4. We then investigate properties of the openstring disk amplitude integrated over reparametrizations. Simplified to just a few classical polylogarithms using symbology. This result extends the analytic knowledge of multiloop sixpoint amplitudes beyond those with maximal helicity violation.

We will mostly use classical polylogs and the double logs as concrete examples. Rather, there is an anomaly, which was first understood in terms of polygonal wilson loops rather than amplitudes 7. We present a compact analytic formula for the twoloop sixparticle maximally helicity violating remainder function equivalently, the twoloop lightlike hexagon wilson loop in n4 supersymmetric yangmills theory in terms of the classical polylogarithm functions li k with cross ratios of momentum twistor invariants as their arguments. Scattering amplitudes and wilson loops in twistor space iopscience. The mhv scattering amplitudes in planar n 4 sym are dual to bosonic lightlike wilson loops. Hymov loops is one of the best original sample packs you can get in the web, and what network able to offer. Scattering amplitudes in gauge theory and gravity by. Free happy birthday stock video footage licensed under creative commons, open source, and more. For such wilson loops the anomaly is ultraviolet in nature. From polygons and symbols to polylogarithmic functions. Are scattering amplitudes dual to super wilson loops. We has a zerotolerance policy against illegal pornography. Click each link below and look around each website for the download link or button.

Amplitudes correlation functions wilson loops in n4 sym. What might your beats be like with that lovely orchestral sound. All conjugatemaximalhelicityviolating amplitudes from topological open string theory in twistor space. We prove that these integrals evaluate to a particular basis of harmonic polylogarithms, at any order in the weak coupling expansion. Professor volovich is a theoretical physicist currently working in the area of scattering amplitudes in quantum field theories and gravity. Singlevalued harmonic polylogarithms and the multiregge. Oneloop superyangmills scattering amplitudes in d dimensions, relation to open strings and polygonal wilson loops. If you use any of these classical strings loops please leave your comments. If you use any of these classical loops please leave your comments.

What would the movies be without that classic orchestral sound. The goal of this research program is to deepen our understanding of gauge and gravity theories by discovering and exploring the hidden mathematical structures of scattering amplitudes and to use these novel structures as much as possible to aid practical. Read the loops section of the help area and our terms and conditions for more information on how you can use the loops. The singular configuration corresponds to the limit in which a hexagonal wilson loop develops a selfcrossing. Del duca vittorio, duhr claude, smirnov vladimir a. We make a natural ansatz for the symbols of the relevant functions. Pdf we establish an allloop conformal yangian symmetry for the full. Address, email, date of birth department of physics brown university providence ri 02912 phone. In section 3 we summarize the available results for scattering amplitudes in general kinematics, before turning to recent results in restricted kinematics for high numbers of loops and or external legs in sections 4 and 5. Wilson loops in n6 superspace for abjm theory request pdf.

Wilson loops and amplitudes are derived from first principles using the twistor. Polylogarithms as a bridge between number theory and. Analytic result for the twoloop sixpoint nmhv amplitude. The return of the analytic smatrix swansea university. Login, like and download these epic cinematic samples of full classical music loops for garageband and logic users. We then use it to obtain constraints on its two and threeloop bosonic version, by focusing on. In this paper we construct a lightlike polygonal wilson loop in n6 superspace for abjm theory. We present a compact analytic formula for the twoloop sixparticle maximally helicity violating remainder function equivalently, the twoloop lightlike hexagon wilson loop in n4 supersymmetric yangmills theory in terms of the classical polylogarithm functions lik with cross ratios of momentum twistor invariants as their arguments. Put like to make me understand that you are interested in this new series of videos and receiving files. Dissolving loop amplitudes into qcd tree amplitudes. From polygons and symbols to polylogarithmic functions primary tabs.

Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a selfcontained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric yangmills theory. Bootstrapping an nmhv amplitude through four loops arxiv. Citeseerx document details isaac councill, lee giles, pradeep teregowda. The generalizedpolylog, multipolylog and multizeta functions have been added to the maple library, as part of ongoing work in the area of mathematical functions. Pdf classical polylogarithms for amplitudes and wilson loops. There is a big part free vst plugins from most advanced developers in the world. A previous calculation of the phase transition in the wilson loop correlator in the zero temperature adscft correspondence is extended to the case where the loops are concentric circles of unequal radii. Classical polylogarithms for amplitudes and wilson loops goncharov, alexander b.

Goncharov a b, spradlin m, vergu c and volovich a 2010 classical polylogarithms for amplitudes and wilson loops phys. Using these constraints, and assuming a natural ansatz for the. The free classical strings loops, samples and sounds listed here have been kindly uploaded by other users. We exploit the duality between scattering amplitudes and polygonal wilson loops to study sixpoint amplitudes in this limit to high loop order in planar n 4 superyangmills theory. New features in maple 2018 advanced math maplesoft. In deriving our result we rely on results from the theory of motives. We do this by making use of the cyclic and parity symmetry of the amplitude wilson loop and its behaviour in the softcollinear limits as well as in the leading term in the expansion away from this. The corresponding dual object should have the same symmetries as the scattering amplitudes and be invariant to all loops under the chiral half of the n 4 superconformal symmetry. Free classical strings loops samples sounds wavs beats.