Dec 3 – 6, 2019
KEK
Japan timezone

Application of the tensor renormalization group method to non-Abelian lattice gauge theories

Dec 5, 2019, 3:00 PM
3h
In front of Kobayashi Hall, Kenkyu-Honkan bldg. 1F (KEK)

In front of Kobayashi Hall, Kenkyu-Honkan bldg. 1F

KEK

Speaker

Mr Atis Yosprakob

Description

The tensor renormalization group method is a powerful tool to study lattice models, which works even with models that have sign problem. However, so far, its application to gauge theory has been restricted the U(1) and SU(2) cases. In this work, we apply it to two-dimensional U(N) gauge theories which are exactly solvable. We are able to extract the large-N behaviors of the model such as the Eguchi-Kawai reduction and the Gross-Witten phase transition. We also study the model with a theta- term, which has the sign problem, and reproduce exact results.

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