# 36th Annual International Symposium on Lattice Field Theory

Jul 22 – 28, 2018
Kellogg Hotel and Conference Center
EST timezone

## Towards leading isospin breaking effects in mesonic masses with open boundaries

Jul 24, 2018, 4:30 PM
20m
105 (Kellogg Hotel and Conference Center)

### 105

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### Speaker

Mr Andreas Risch (Institute for Nuclear Physics, University of Mainz)

### Description

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions with open boundaries. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and down quarks. In order to be able to make use of existing isosymmetric QCD gauge ensembles we apply reweighting techniques. The path integral describing QCD+QED is expanded perturbatively in powers of deviations in the quark masses and the inverse strong coupling as well as the electromagnetic coupling. We have formulated QED$_\mathrm{L}$, which we use as a finite volume formulation of QED, for open boundaries. We will also give a first insight into contributions from quark disconnected diagrams.

### Primary author

Mr Andreas Risch (Institute for Nuclear Physics, University of Mainz)

### Co-author

Prof. Hartmut Wittig (Johannes Gutenberg Universität)

 Slides