The CTP Lunch Club meets at 12noon in the CTP Cosman seminar room every Friday (provided that there are sufficient speakers). A light lunch will be provided (usually pizza, however some other options may be explored).
The seminars are designed for graduate students and should be accessible to all students. First year students are particularly encouraged to attend so that they may learn about research being performed in the CTP.
Email notification of the club will be sent to the ctp-all, ctp-postdocs and ctp-students email lists as appropriate. If you wish to speak, or have suggestions about speakers and/or possible workshop topics, please contact the organizers: Asmund Folkestad, Stella Schindler and Yitian Sun.
The Physics Surrounding Connes' Embedding Problem
Von Neumann operator algebras are a natural language for describing quantum mechanical behavior. The study of such algebras was founded in a series of works by Murray and von Neumann in the 30's and 40's. While our understanding of these structures has been refined over the past half century, there remain several open questions; Alain Connes' embedding conjecture, put forth in 1976, remains one of the most prominent outstanding conjectures in the field.
In this talk we briefly mention the original conjecture, then discuss a reformulation of the conjecture first proved by Junge et al. in 2010. This reformulation uses the the language of quantum correlations (informally, correlations produced by generalized Bell tests). In this language, Connes' conjecture states that the set of correlations achievable by operators acting on distinct factors of a tensor-product space coincides with the set achievable by commuting operators. We then finish the talk with a discussion of the physical implications of this conjecture on the QFT framework for physics.
Reggeization, the QCD pomeron, and beyond from SCET
The high energy limit of QCD possesses remarkable structure. Two historically significant features of this limit are the reggeization of the gluon and scaling laws for cross sections encoded in the BFKL and BFKL-like equations. I will show that these classic results can be determined from anomalous dimensions in SCET and explain how this enables generalizations. Most importantly, our methods resolve conceptual issues that have made it difficult to define these concepts to higher orders.
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