Amplitudes Summer School 2018 was held at the Center for Quantum Mathematics and Physics (QMAP), University of California, Davis on June 11-15, 2018. We had nearly 100 participants coming for a week of lectures on new developments in theoretical exploration of scattering amplitudes.
Before the start
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Monday, 8:30am, the registration starts | Lecture room and camera setup | First lecture starts |
Lectures
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Lance Dixon introduces Yutin Huang | Yutin provides an introduction to scattering amplitudes | BCFW recursion relations is a golden standard |
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All lectures are recorded and later posted on youtube | Participants were engaged the whole week | Breaks provided a good opportunity to ask additional questions |
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Zvi Bern lectures on color-kinematics duality and double copy | Graviton amplitudes are there squares of gluonic amplitudes | This was proven at the tree-level but it also works at loop level |
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Eric D'Hoker gave lectures on string amplitude | Modular graph functions play important role in recent progress | Albert Schwarz asks questions after the lecture |
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Jacob Bourjaily lectured on Vernicular of S-matrix | This included discussion of mathematics of on-shell diagrams | Jake also gave the tutorial on Mathematica implementation |
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Claude Duhr gave lectures on integrals and symbols | He discussed polylgarithms which arise in loop amplitudes | Hopf algebras appear in this context |
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Song He's lectures focused on scattering equations | CHY formula calculates tree-level amplitudes in variety of theories | The loop extension is an active area of research |
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Alex Postnikov talks about the positive Grassmannian | Alex is an algebraic combinatorist who discovered this subject | As it turns out it plays an important role in scattering amplitudes |
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Gong show starts: Cameron Langer talks about the Amplituhedron | Gongwang Yan speaks about the CHY and Associahedron | Izzy Nicholson describes spinor helicity formalism in GR |
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Sebastian Mizera's talk on new formula for amplitudes in 6d | Hadleigh Frost spoke about biadjoint scalar amplitudes | Talk by Mariana Gonzalez. There were 40 speakers in the gong show |
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Staff appreciation
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Lunch was provided outside the lecture room | Nice seating allowed prolonged lunch discussions | The shade was very welcome in the hot California weather |
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Thanks to our great staff for the help with organization | And making sure everything runs smoothly | From left: Cindy Choi, Matthew Silver, Joann Pyon and Tina Denena (+ absent Sarah Driver, Malina Gillies-Doherty and Alla Savrasova) |
Discussions
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Nima day
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Last day we had series of lectures by Nima Arkani-Hamed | 9am: The topic of the first lecture is projective geometry | This concept plays an important role in the amplitudes program |
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Projective geometry should be thought in the elementary school | But there is never late to start to think projectively | The lecture takes 3 hours and covers all basic topics |
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1:30pm: Nima is giving a colloquium "Future of particle physics" | Nima explains motivations to build 100 TeV collider | The lecture is one hour, questions take another hour |
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Discussion continues after the colloquium | 4pm: Nima continues to lecture, now on Amplituhedron | This is a new geometric picture for amplitudes in N=4 SYM theory |
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The crucial ingredient is a logarithmic form | 7pm: After-dinner lecture starts | Topic is a new formalism for massive amplitudes |
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This can be very useful for Standard model calculations | Most participants keep focused and engaged | Not feeling tired after the week of intense lectures |
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It is getting dark outside | Coffee breaks and discussions move inside | 10pm: New lecture starts after the break |
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Nima explains the significance of the dual Amplituhedron | Wild speculations link it to new picture for string theory | This is a very ambitious idea which attracts attention |
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Discussions continue during the coffee break | 12am: Nima starts next lecture, topic is "Cosmological polytopes" | They describe cosmological correlation functions |
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And contain scattering amplitudes | Only a subset of participants made it to this point | including Akshay Yeleshpur ..... |
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..... Minshan Zheng .... | and Cameron Langer who is still recording | One of the speakers Song He is also paying attention |
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3am: Nima finishes with Q&A on Naturalness | 3:10am: Final picture with participants who made it till the end | Nima needs to catch his taxi to the airport at 4am. |