Topology of two-color QCD at low temperature and high density Etsuko Itou (Kochi U./ RCNP, Osaka U.) collaboration with K.Iida and T.-G. Lee The 36th International Symposium on Lattice Field Theory @ Kellogg Hotel and Conference Center (2018/7/26)
Motivation 2 Our Work: Avoid the sign problem (consider 2color 2flavor QCD) Focus on the low-T and high-density regime: Phase structure Topological objects Superfluid density from energy-momentum tensor Mass gap (BCS gap) from diquark condensate Understand the physics in QCD phase diagram but there is the sign problem…. <latexit sha1_base64="74VWnzjDdupWxCO7Kp0G8CHnjbQ=">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</latexit> <latexit sha1_base64="74VWnzjDdupWxCO7Kp0G8CHnjbQ=">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</latexit> <latexit sha1_base64="74VWnzjDdupWxCO7Kp0G8CHnjbQ=">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</latexit> <latexit sha1_base64="74VWnzjDdupWxCO7Kp0G8CHnjbQ=">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</latexit> in low-T Introduce the diquark source in the action Qualitatively understand the physics in finite density Problem: Numerical instability µ/m P S ≥ 1 / 2
Plan of talk 3. Summary and Outlook BEC Hadron QGP <latexit sha1_base64="Zqkz/tjFwr3HQazEKM2tyQsH294=">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</latexit> <latexit sha1_base64="Zqkz/tjFwr3HQazEKM2tyQsH294=">ACZXichVFNS8NAEH2N3/WrfiCB4tF8RQmrVLrSfTisbVWBZWSxG0NpklI0kIt/gHBqz14UhARf4YX/4CH/gPFo4IXD07TinhQZ9md2bfzZt7uao5peD5RIyR1dHZ19/T2hfsHBoeGIyOjW5dnWR023Tdnc01ROmYmcb/im2HFcoZY0U2xrR2vN8+2KcD3Dtjb9qiP2S2rRMgqGrvoMZTfzB/lIjGRKJBbiqSjJcUomFhUOUkvxlEJRabAYmhb2o7cYA8HsKGjBIELPgcm1Dh8diFAoLD2D5qjLkcGcG5wAnCzC1zluAMldEjXou82jFu+bNb2ArXMXk6fLzChm6ZFu6ZUe6I6e6ePXWrWgRlNLlb3W4gonP3w6mX3/l1Vi7+Pwm/WnZh8FLAVaDdbuBEjzFnqLXzmuv2aXN2Zrc3RFL6z/khp0zewKm/6dUZsXCDMH/D1ytHfg1xcTslKZiG2str+iV5MYQbz/NxJrGAdaeS4bRFnOEc9CQNSePSRCtVCrU5Y/h0vQncj+Kw=</latexit> <latexit sha1_base64="Zqkz/tjFwr3HQazEKM2tyQsH294=">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</latexit> <latexit sha1_base64="Zqkz/tjFwr3HQazEKM2tyQsH294=">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</latexit> 3 SF Topological susceptibility Determine the phase diagram in low-T (T~ Td/2) 2. Simulation results Action with diquark source Temperature ( T ) QGP 1. Two-color finite-density QCD T d Hadronic Superfluid Quarkyonic? 0 Chemical potential (µ)
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