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Title: Investigations of QCD at non-zero isospin density

We investigate the QCD phase diagram as a function of isospin chemical potential at a fixed temperature by directly putting large numbers of {pi}{sup +}s into the system. Correlation functions of N {pi}{sup +}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}{sup +}s.
Authors:
Publication Date:
OSTI Identifier:
1035554
Report Number(s):
JLAB-THY-11-1460; DOE/OR/23177-1883; arXiv:1111.1656
TRN: US1201151
DOE Contract Number:
AC05-06OR23177
Resource Type:
Conference
Resource Relation:
Journal Name: Proceedings of Science; Journal Volume: LATTICE2011; Conference: Lattice 2011, 10-16 Jul 2011, Squaw Valley, Lake Tahoe, California
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; ISOSPIN; PHASE DIAGRAMS; PIONS; QUANTUM CHROMODYNAMICS; RECURSION RELATIONS