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# 36th Annual International Symposium on Lattice Field Theory

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

## Fourier acceleration, the HMC algorithm and renormalizability

Jul 23, 2018, 2:00 PM
20m
103 (Kellogg Hotel and Conference Center)

### 103

#### Kellogg Hotel and Conference Center

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

### Speaker

Prof. Norman Christ (Columbia University)

### Description

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)

 Slides