# SM&FT 2015 - The XVI Workshop on Statistical Mechanics and nonpertubative Field Theory

Dec 9 – 11, 2015
Dipartimento di Fisica, Univ. Bari - INFN Sezione di Bari
Europe/Rome timezone
SM&FT 2015 Computational approaches in Quantum Field Theory, Statistical Mechanics and Complex Systems

## Long Range Force and Y-Bosonic strings in Baryons

Dec 10, 2015, 6:00 PM
20m
Aula B

### Speaker

Dr Ahmed Bakry (Institute of Modern Physics,CAS)

### Description

The potential due to system of a three static quark (3Q) is studied using SU(3) lattice QCD at finite T. The (3Q) potential is calculated in pure SU(3) Yang-Mills latice gauge theory at finite temperature with Polyakov loops operators. In this work, we focus on the relation between the parameterization ansatz of the (3Q) potential and the observed form of the strings in the baryon. The interesting result is that, although the gluonic pattern is a $\Delta$-shaped, the lattice data for the potential fits well to a $Y$-shaped string pattern. Moreover, we found that in order to reproduce the quark anti-quark string tension, the fit ansatz of the $Y$-law must include a Dedekind eta function accounting for the Y-string fluctuation with modular corresponding to the minimal length of the Y-string. Our results may promote the picture of the baryonic strings as always exhibiting a $\Delta$ field profile, however, the baryonic potential is consistent with a $Y$-law describing a system of fluctuating strings.

### Primary author

Dr Ahmed Bakry (Institute of Modern Physics,CAS)

### Co-authors

Prof. Pengming Zhang (Institute of Modern Physics) Prof. Xurong Chen (Institute of Modern Physics)

 Slides