Investigations of QCD at non-zero isospin density

Details Investigations of QCD at non-zero isospin density Investigations of QCD at non-zero isospin density

2011-11-07

arxiv.org/abs/1111.1656v1

PoS(Lattice 2011)328

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 9 figures

Scientific paper

We investigate the QCD phase diagram as a function of isospin chemical potential at a fixed temperature by directly putting large numbers of \pi^+s into the system. Correlation functions of N \pi^+s systems involves N!N! contractions, and become extremely expensive when N is large. In order to alleviate this problem, a recursion relation of correlation functions has been derived in Ref. [1] that substantially reduces the number of independent contractions needed and makes the study of many pions systems be possible. In this proceeding this method is investigated numerically. We have also constructed a new method that is even more efficient, enabling us to study systems of up to 72 \pi^+s.

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