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Conformal bootstrap—a new way to compute in quantum field theory

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If you have a question about this talk, please contact Mahdi Godazgar .

Most takes on quantum field theory start from microscopics, fundamental degrees of freedom, a Lagrangian. Conformal field theory is an exception—it focuses on the algebra of local operators and avoids any reference to the Lagrangian. This leads to a method for doing practical CFT calculations—the conformal bootstrap. The method is 40 years old, though it seemed limited to D=1+1 dimensions where the conformal group is infinite. Recent work shows how to set it up for any D. Applications are rapidly expanding, and the method will become a standard QFT tool next to the RG, the epsilon-expansion, and the 1/N expansion. We will highlight the world-record determination of the 3D Ising critical exponents obtained by the conformal bootstrap.

This talk is part of the Theoretical Physics Colloquium series.

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