U(1) Hidenori Fukaya (Osaka U.) for JLQCD collaboration S. - PowerPoint PPT Presentation

カイラル感受率とU(1)量子異常 Hidenori Fukaya (Osaka U.) for JLQCD collaboration S. Aoki, Y. Aoki, HF, S. Hashimoto, T. Kaneko, C. Rohrhofer, K. Suzuki, in preparation.

JLQCD collaboration KEKを中心とした大規模格子QCD数値計算 使ってたが、、、 2017年 shutdown（涙）. 現在はHPCI (革新的ハイパフォーマンス・コンピューティング・インフラ ) 筑波大CCSの学際共同利用 プログラムなどに応募、 元気にやっています。 Oakforest-PACS at JCAHPC HITACHI SR16000 IBM BG/Q の研究グループ。 元々KEKのスパコンを

JLQCD’s finite T QCD project 今日お話しする有限温度QCDプロジェクトは 2019年度HPCI利用研究課題優秀成果賞 に選ばれました。 https://www.hpci-office.jp/pages/project_report_meeting より抜粋。

Chiral phase transition 150- 180MeV (10μs after Big-bang) Temperature Chiral symmetric, deconfined Chiral SSB, confined Cf. Talk by Yonekura-san（Tuesday）

What is chiral susceptibility? <latexit sha1_base64="YNHfzfHnKheEx10fdVrlvqy5QY=">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</latexit> <latexit sha1_base64="3oDjEu+TG6vKkzbLnqV4ye/49EA=">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</latexit> QCD partition function <latexit sha1_base64="DldI/bCqFaj/uOoUm2YSbUtWxAw=">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</latexit> chiral susceptibility (this talk) chiral condensate Z [ dA ] det( D ( A ) + m ) N f e − S G ( A ) Z ( m ) = 1 ∂ �h ¯ qq i = ∂ m ln Z ( m ) N f V ∂ 2 1 χ ( m ) = ∂ m 2 ln Z ( m ) N f V

What is chiral susceptibility? Broken phase Symmetric phase <latexit sha1_base64="PupVJemZSKQb4N1YVoU/w7dysu8=">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</latexit> <latexit sha1_base64="uAestzlMWMKd85tT0CQVFq0LVF0=">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</latexit> <latexit sha1_base64="CAFQjK961PFXJtohAGrpdQxieE=">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</latexit> <latexit sha1_base64="OJX0bJofVkGxZN+RbpUB20+Ul9I=">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</latexit> <latexit sha1_base64="OJX0bJofVkGxZN+RbpUB20+Ul9I=">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</latexit> <latexit sha1_base64="OJX0bJofVkGxZN+RbpUB20+Ul9I=">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</latexit> <latexit sha1_base64="OJX0bJofVkGxZN+RbpUB20+Ul9I=">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</latexit> Z ( m ) m h ¯ qq i ( m ) χ ( m )