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Mathematical and Theoretical Physics Seminar: "Conformal Truncation: A New Method for Strongly-Coupled QFTs"

Event Type
Seminar/Symposium
Sponsor
Physics and Mathematics
Location
222 Loomis
Date
Dec 7, 2017   12:30 pm  
Speaker
Zuhair Khandker, University of Illinois at Urbana Champaign
Contact
Janice Benner
E-Mail
jbenner@illinois.edu
Phone
217-244-4262
Views
12

I will present a new numerical method for studying strongly-coupled QFTs in any dimension. The method harnesses conformal symmetry, but in a manner applicable to general, non-conformal QFTs. The input is information about the UV CFT from which the QFT originates. The output is the physical QFT spectrum, along with real-time, infinite-volume correlation functions. So far, we have used the method to study 2D phi^4 theory. I will present new results for correlation functions at any coupling, including the Zamolodchikov c-function along the full RG-flow. I will also present a non-trivial cross-check of our numerical results: for a critical value of the coupling, phi^4 theory flows to the Ising model, and we match known analytical predictions. 

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