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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

Fourier acceleration, the HMC algorithm and renormalizability

Jul 23, 2018, 2:00 PM
103 (Kellogg Hotel and Conference Center)


Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Algorithms and Machines Algorithms and Machines


Prof. Norman Christ (Columbia University)


The analysis of the Hybrid Monte Carlo (HMC) algorithm developed by Luscher and Schaefer is generalized to include Fourier acceleration. We show for the $\phi^4$ theory examined by Luscher and Schaefer that Fourier acceleration removes the non-renormalizable, singular behavior which they discovered and likely defines a renormalizable theory for the five-dimensional correlation functions in Euclidean space and Monte Carlo time.

Primary authors

Mr Evan Wickenden (Columbia University) Prof. Norman Christ (Columbia University)

Presentation Materials