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# 36th Annual International Symposium on Lattice Field Theory

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

## Renormalization group properties of scalar field theories using gradient flow

Jul 27, 2018, 5:10 PM
20m
104 (Kellogg Hotel and Conference Center)

### 104

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments

### Speaker

Andrea Carosso (University of Colorado, Boulder)

### Description

Gradient flow has proved useful in the definition and measurement of renormalized quantities on the lattice. Recently, the fact that it suppresses high-modes of the field has been used to construct new, continuous RG transformations on the lattice, distinct from the usual blocking techniques in spin models and gauge theories. In this talk, we discuss two approaches to define an RG transformation which incorporate gradient flow: (1) the correlator ratio method, and (2) Langevin exact RG. We present preliminary numerical results for the critical exponents at the Wilson-Fisher fixed point of three-dimensional scalar $\phi^4$ theory from both methods.

### Primary author

Andrea Carosso (University of Colorado, Boulder)

### Co-authors

Prof. Anna Hasenfratz (University of Colorado) Prof. Ethan Neil (University of Colorado, Boulder)

 Slides