Classical polylogarithms for amplitudes and wilson loops torrent

Hymov loops is one of the best original sample packs you can get in the web, and what network able to offer. We make a natural ansatz for the symbols of the relevant functions. Oneloop superyangmills scattering amplitudes in d dimensions, relation to open strings and polygonal wilson loops. Wilson loops in n6 superspace for abjm theory request pdf. Volovich, classical polylogarithms for amplitudes and wilson loops. Kosower, maximally supersymmetric planar yangmills amplitudes at five loops. Login, like and download these epic cinematic samples of full classical music loops for garageband and logic users. Classical polylogarithms for amplitudes and wilson loops. Citeseerx document details isaac councill, lee giles, pradeep teregowda. We has a zerotolerance policy against illegal pornography.

What might your beats be like with that lovely orchestral sound. Polylogarithms as a bridge between number theory and. From polygons and symbols to polylogarithmic functions primary tabs. 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. Eliminating spurious poles from gaugetheoretic amplitudes. We will mostly use classical polylogs and the double logs as concrete examples.

From polygons and symbols to polylogarithmic functions. Dissolving loop amplitudes into qcd tree amplitudes. 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. Singlevalued harmonic polylogarithms and the multiregge. All content submitted by third parties on is the sole responsibility of those third parties. From amplitudes to wilson loops andreas brandhuber queen mary, university of london.

From scattering amplitudes to classical potentials in the postminkowskian expansion. There is a big part free vst plugins from most advanced developers in the world. 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. We then use it to obtain constraints on its two and threeloop bosonic version, by focusing on. Free happy birthday stock video footage licensed under creative commons, open source, and more.

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. Observe that in perturbation theory amplitudes wilson loops are described by particular classes of functions make an ansatz in terms of these functions constrain ansatz with some physical input branch cuts localityunitarity, collinear limits, supersymmetry, ope for wilson loops, regge limits for amplitudes. 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. Using these constraints, and assuming a natural ansatz for the.

Rather, there is an anomaly, which was first understood in terms of polygonal wilson loops rather than amplitudes 7. This cited by count includes citations to the following articles in scholar. In this paper we construct a lightlike polygonal wilson loop in n6 superspace for abjm theory. We apply constraints from the operator product expansion in the nearcollinear limit to the symbol of the remainder function at three loops. Jhep012012024 published for sissa by springer received. 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. The mhv scattering amplitudes in planar n 4 sym are dual to bosonic lightlike wilson loops. Classical polylogarithms for amplitudes and wilson loops goncharov, alexander b. 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. 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.

Finally, we comment on the nonexpressibility in terms of polylogarithms of a particular twoloop amplitude in n4. The free classical strings loops, samples and sounds listed here have been kindly uploaded by other users. New features in maple 2018 advanced math maplesoft. In deriving our result we rely on results from the theory of motives. Scattering amplitudes in gauge theory and gravity by. Amplitudes correlation functions wilson loops in n4 sym. Del duca vittorio, duhr claude, smirnov vladimir a. This phase transition occurs due to the instability of the classical string stretched between the loops. We then investigate properties of the openstring disk amplitude integrated over reparametrizations. Are scattering amplitudes dual to super wilson loops. Free classical strings loops samples sounds wavs beats.

We consider the hexagonal wilson loop dual to the sixpoint mhv amplitude in planar n 4 super yangmills theory. The generalizedpolylog, multipolylog and multizeta functions have been added to the maple library, as part of ongoing work in the area of mathematical functions. Put like to make me understand that you are interested in this new series of videos and receiving files. 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. Address, email, date of birth department of physics brown university providence ri 02912 phone. We take no responsibility for the content on any website which we link to, please use your own discretion while surfing the links. 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. If you use any of these classical strings loops please leave your comments.

Introductory lectures on amplitudes, wilson loops and symmetries 2. The return of the analytic smatrix swansea university. If you use any of these classical loops please leave your comments. Analytic result for the twoloop sixpoint nmhv amplitude. We consider the hexagonal wilson loop dual to the sixpoint mhv amplitude in planar mathcaln 4 super yangmills theory. 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. 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. Pdf we establish an allloop conformal yangian symmetry for the full. Physical mathematics and the future rutgers physics. Linx z x 0 dt t lin1t, li 1x log1 x more generally, polylogarithms in many variables. Recent citations cluster algebras and the subalgebra constructibility of the. Classical polylogarithms for amplitudes and wilson loops, phys. We prove that these integrals evaluate to a particular basis of harmonic polylogarithms, at any order in the weak coupling expansion.

Grassmannian geometry of scattering amplitudes by nima. Read the loops section of the help area and our terms and conditions for more information on how you can use the loops. This result extends the analytic knowledge of multiloop sixpoint amplitudes beyond those with maximal helicity violation. Boundaries of amplituhedra and nmhv symbol alphabets at two loops prlina, igor et al. Pdf classical polylogarithms for amplitudes and wilson loops. Wilson loops and amplitudes are derived from first principles using the twistor. In deriving our formula we rely on results from the theory of motives.

We provide a simple analytic formula for the twoloop sixpoint ratio function of planar n 4 super yangmills theory. The singular configuration corresponds to the limit in which a hexagonal wilson loop develops a selfcrossing. Hexagon wilson loop ope and harmonic polylogarithms. All conjugatemaximalhelicityviolating amplitudes from topological open string theory in twistor space. 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. What would the movies be without that classic orchestral sound. Simplified to just a few classical polylogarithms using symbology. For such wilson loops the anomaly is ultraviolet in nature. Name, position, academic department anastasia volovich professor of physics department of physics brown university 2. Professor volovich is a theoretical physicist currently working in the area of scattering amplitudes in quantum field theories and gravity. January9,2012 analyticresultforthetwoloopsixpointnmhv amplitudeinn. This equivalence was first suggested at strong coupling using the adscft correspondence and has since been verified at weak coupling to one loop in. The free classical loops, samples and sounds listed here have been kindly uploaded by other users. Scattering amplitudes and wilson loops in twistor space iopscience.

We explore various proposals for extending this duality to generic nonmhv amplitudes. Notes on polytopes, amplitudes and boundary configurations. Classical polylogarithms foramplitudes and wilson loops. Multiregge kinematics and the moduli space of riemann. Wilson loops and qcdstring scattering amplitudes journal. 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. Twoloop sixgluon maximally helicity violating amplitude in maximally supersymmetric yangmills. The harmony of scattering amplitudes apr 4 jul 8, 2011 coordinators. Free happy birthday stock video footage 3,294 free. Zvi bern, thomas gehrmann, frank petriello, anastasia volovich. Click each link below and look around each website for the download link or button. Goncharov a b, spradlin m, vergu c and volovich a 2010 classical polylogarithms for amplitudes and wilson loops phys. Goncharov a, spradlin m, vergu c and volovich a 2010 classical polylogarithms for amplitudes and wilson loops arxiv.