2013 Fiscal Year Final Research Report

Theoretical study on transport phenomena in strongly correlated systems

Research Project

Project/Area Number	24740166
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Multi-year Fund
Research Field	Particle/Nuclear/Cosmic ray/Astro physics
Research Institution	Kochi University
Principal Investigator	NAKANO Eiji 高知大学, 教育研究部自然科学系, 講師 (70582477)
Research Collaborator	BENGT Friman GSI, Theory division, Professor
Project Period (FY)	2012-04-01 – 2014-03-31
Keywords	輸送現象 / 強相関系 / カイラル相転移 / ボーズ・アインシュタイン凝縮
Research Abstract	We have attempted to construct a non-perturbative formula for description of transport phenomena in strongly correlated systems, such as finite-temperature and -density QCD and many-body systems of cold atoms around the unitary limit. Transport coefficients, which characterize non-equilibrium state at low energy and long wave-length limit of the systems, are evaluated by the Functional renormalization group method, in which we can start from microscopic Lagrangian and integrate out high energy modes to get low energy effective theories. Also, as a complementary method, we have employed effective field theories on basis of symmetries and their spontaneous breaking. In formulation for spontaneous symmetry breaking phases, we are left with some problems, e.g., to see if the renormalization group method automatically produces effective degrees of freedom at low energies.