# The 37th International Symposium on Lattice Field Theory (Lattice 2019)

16-22 June 2019
Asia/Shanghai timezone

## A study of thermal SU(3) supersymmetric Yang-Mills theory and near-conformal theories from the gradient flow

20 Jun 2019, 17:10
20m
Shimao 3B

### Shimao 3B

Parallel Physics Beyond the Standard Model

### Speaker

Mr Camilo Lopez (Theoretisch-Physikalisches Institut, Universit\"at Jena)

### Description

In recent years, gradient flows of Yang-Mills and spinor fields have opened new possibilities in lattice simulations. I will focus on two applications of this method. Firstly, it has been shown that flowed composite local operators, like condensates and currents, are renormalised independently of the regularisation scheme. This facilitates the study of thermal phase transitions, e.g. in supersymmetric theories. In previous studies we had found that the restoration of the non-anomalous chiral symmetry and the breaking of the centre symmetry occur simultaneously in SU(2) supersymmetric Yang-Mills theory. I will show new results for the gauge group SU(3). The gradient flow is also tightly related to renormalisation group transformations. This can be exploited to directly compute the spectrum of operator dimensions in quantum field theories with an IR conformal point. In this regard I will discuss the computation of the mass anomalous dimension in near-conformal adjoint QCD with N${_f}=2$ and $\frac{3}{2}$.

### Primary authors

Mr Camilo Lopez (Theoretisch-Physikalisches Institut, Universit\"at Jena) Dr Georg Bergner (Theoretisch-Physikalisches Institut, Universit\"at Jena) Dr Stefano Piemonte (Institute for Theoretical Physics, Universit\"at Regensburg)