The SU(3) spin model with chemical potential by series expansion techniques

  • The SU(3) spin model with chemical potential corresponds to a simplified version of QCD with static quarks in the strong coupling regime. It has been studied previously as a testing ground for new methods aiming to overcome the sign problem of lattice QCD. In this work we show that the equation of state and the phase structure of the model can be fully determined to reasonable accuracy by a linked cluster expansion. In particular, we compute the free energy to 14-th order in the nearest neighbour coupling. The resulting predictions for the equation of state and the location of the critical end points agree with numerical determinations to O(1%) and O(10%), respectively. While the accuracy for the critical couplings is still limited at the current series depth, the approach is equally applicable at zero and non-zero imaginary or real chemical potential, as well as to effective QCD Hamiltonians obtained by strong coupling and hopping expansions.

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Author:Jangho KimORCiD, Anh Quang PhamORCiDGND, Owe PhilipsenORCiDGND, Jonas ScheunertGND
Parent Title (English):Journal of high energy physics
Place of publication:Berlin ; Heidelberg
Document Type:Article
Date of Publication (online):2020/10/08
Date of first Publication:2020/10/08
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2022/10/10
Tag:Effective Field Theories; Lattice Quantum Field Theory
Page Number:23
Institutes:Physik / Physik
Informatik und Mathematik / Informatik
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0