KEK Theory Seminar/Mr.Hatakeyama

Category
Start2017/06/27(Tue)11:00 AM
End2017/06/27(Tue)12:00 PM
VenueKenkyu-Honkan 1F, Meeting Room 1
TitleCorrelation functions and renormalization in a scalar field theory on the fuzzy sphere
SpeakerMr. Kohta Hatakeyama (Shizuoka University)
Language日本語/Japanese
ContactKiyoharu kawana/kawana-AT-post.kek.jp
Website
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Abstract

    ABSTRACT

We study correlation functions in a scalar field theory on the fuzzy sphere, which is realized by a matrix model where the matrix size plays a role of the UV cutoff. We identify the Berezin symbol for a matrix with a field, and we calculate the correlation functions of the fields by Monte Carlo simulation. By tuning a parameter of the theory, we find that the two-point and four-point correlation functions agree for different matrix sizes. This result strongly suggests that the theory is renormalizable.

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