平成19年度 計算科学研究センター研究報告
発行年
2008- 11
㻬 㻬 㻬 㻑 㻃 ⣪ ⢇ Ꮔ Ꮻ ᏼ ◂ ✪ 㒂 㛓
㻃㻃㻬 㻬 㻬 䟿 㻔 㻃⣪ ⢇ Ꮔ ฦ 㔕㻃 䠃䠀䝥䝷䝔㻃
ᩅ㻃 Ꮻᕖ㻃 ᙪ㻏㻃 㟯ᮄ㻃 ួஒ䟺භྜྷ◂✪ဤ䟻㻏㻃 㔘ㆺ㻃 ⮫䟺භྜྷ◂✪ဤ䟻㻃 ᩅ㻃 ▴ሪ㻃 ᠺெ䟾ⶮቌ㻃 Ⴢఘ㻏㻃 ྚỜ㻃ཪ↯㻃
ຐᩅ㻃 ㆺཾ㻃 㻃
◂✪ဤ㻃 ▴㻃 ⌦ಞ㻏㻃 ᾃ⏛㻃ᑠသ㻏㻃 ຊᇸ㻃 ኬ㍔㻏㻃 ⁝ᕖ㻃 ♰㻃 㻃
䠄䠀ᴣさ㻃
⣪⢇Ꮔฦ㔕䛱 䛐䛊䛬䛵 䚮ᮇᖳᗐ䜈䚮Ꮔሔ䛴 ⌦ㄵ䛴 ◂✪ 䜘ᰍ䛱 ὩⓆ䛰◂✪Ὡິ䛒 ⾔䛰䜕䜒䚮ᩐ⌦∸㈻⛁ Ꮥ◂✪⛁䛮 ᐠ䛰㏻ᦘ䛴䜈䛮䚮Ꮔ㻴㻦 㻧㻃 䛴 ኬᆵᩐೋ䜻䝣䝩䝰䞀䜻䝫 䝷䛒 ᥆㐅䛛 䜒䛥䚯㻃
➻ἴ ኬᏕ 䛴 Ꮔ 䜶䞀 䜼⌦ ㄵ 䛴 ◂ ✪⩽ 䛵 䚮 䠄 䠂 䠂䠈 ᖳ 䠉᭮ 䛱ゝ⟤ ⛁Ꮥ ◂✪ 䜿 䝷 䝃䞀 䛴 ḗ ୩ าゝ⟤ ᶭ䛮 䛝 䛬 㻳㻤㻦㻶㻐㻦 㻶 䛒 ᑙථ䛛 䜒䛥䛴 䜘ዉᶭ䛮 䛝䛬᩺䛥䛰◂✪䜴䝯䞀䝛䛮䛝 䛬❟䛧୕䛘䜏䜒䛥 㻃 㻳㻤㻦㻶㻐㻦㻶 㻃㻦㼒㼏㼏㼄㼅㼒㼕㼄 㼗㼌㼒㼑䛱 ཤຊ䛝䛬䛊䜑 䚯㻳㻤㻦㻶㻐㻦㻶㻃㻦㼒㼏㼏㼄㼅㼒㼕㼄 㼗㼌㼒㼑䛭䛵 䚮∸⌦Ⓩ䛰 㼘 㻏㻃㼇䜳䜭䞀䜳㈻㔖䛭 䛴㻱㼂㼉㻠㻖㻃㻴㻦 㻧䛴 ኬぞᶅ䜻䝣䝩 䝰䞀 䜻䝫 䝷䜘⾔䛌䛙 䛮 䜘┘ᵾ䛱 䜶 䞀䜼㒼న䛴 ⏍ᠺ䜘⾔ 䛩䛥䚯䜄 䛥 䚮䛙 䜒䜏 䛴 ኬぞᶅ䛰 ◂✪䛮 ୩⾔䛝 䛬䚮ᰶᏄ 㛣䝡 䝊 䝷 䜻䝧䝯䛴 ◂✪䚮᭯㝀Ὼᗐ䝿 ᭯㝀ᐠᗐ 㻴㻦 㻧 䛴 ◂✪䚮⧖䜐㎲䜅ᏽᩐ䛴㟸ᦜິⓏゝ⟤䚮䛰䛯䜈⾔䜕䜒䛥䚯䛛 䜏䛱 䚮 Ꮔ㻴㻦 㻧㒼న䜊䛣䛴 䛴 䝋䞀䝃䜘ᅗහ䝿 አ䛭 භ᭯䛟䜑Ⅵ䛴 䝋䞀䝃䜴䝮䝇䝍 㻃 㻭 㻯㻧㻪䝿㻬㻯㻧㻪䛴ᵋ⠇䛱ཤ⏤䛝 䛥䚯㻃
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䠅䠀◂✪ᠺᯕ㻃
䚼䠃䚽㻳㻤 㻦㻶㻐㻦㻶 㻃㻦㼒㼏㼏㼄㼅㼒 㼕㼄㼗㼌㼒㼑䛴Ὡິ䟺 ධဤ䟻㻃
ゝ⟤⛁Ꮥ◂✪䜿䝷䝃䞀䛭 䛵䚮ᖲᠺ㻔㻚ᖳᗐ䛑䜏㻖䝺ᖳゝ⏤䛭≁ืᩅ⫩◂✪⤊㈕䟺ᣈⅤᙟᠺ䟻䜘ུ䛗䛬㛜Ⓠ䝿 ⿿ష䛒 㐅䜇䜏䜒䛬䛓 䛥㉰୩า䜳䝭䜽䝃ゝ⟤ᶭ㻳㻤㻦㻶㻐㻦㻶䟺ゝ⟤䝒䞀䝍ᩐ㻕㻘㻙㻓䚮䝘 䞀䜳 ⁿ⟤ᛮ⬗㻔㻗㻑㻖㻷 㼉㼏㼒㼓㼖䟻䛒 ᖲ ᠺ㻔㻛ᖳ㻚᭮䛑 䜏✄഼䜘㛜ጙ䛝 䛥䚯㻳㻤㻦㻶㻐㻦㻶 㻃 㻦㼒㼏㼏㼄㼅㼒㼕㼄㼗㼌㼒 㼑䛵㻳㻤㻦㻶㻐㻦㻶䜘さ䛰ゝ⟤スങ䛮䛝 䛬Ꮔ㻴㻦 㻧 䛴 ◂ ✪ 䜘 ⾔ 䛌 䛙 䛮 䜘┘Ⓩ 䛮 䛝 䚮ゝ⟤ ⛁ Ꮥ ◂ ✪ 䜿 䝷 䝃 䞀 䛴 䝥 䝷 䝔 䜘 ୯ ᚨ 䛮 䛝 䛬 ⤄ ⧂ 䛛 䜒 䛬 䛊 䜑 䚯 䛣 䛴┘ᵾ 䛵 䚮 㼇㼒㼐㼄㼌㼑㻐㼇㼈㼆㼒㼐㼓㼒㼖㼈㼇㻃㻫㻰㻦䟺 㻧㻧㻫㻰㻦䟻䜦 䝯䜸䝮䜾䝤䛮 㼓㼒㼏㼜㼑㼒 㼐㼌㼄㼏㻃㻫㻰㻦䟺 㻳㻫㻰㻦䟻䜦 䝯䜸䝮䜾䝤䜘⤄䜅ྙ䜕䛡䜑䛙 䛮 䛱䜎䛩䛬 㻖⛸㢦䟺㼘㼓䚮㼇㼒㼚㼑 䚮㼖㼗㼕㼄㼑㼊㼈䟻䛴㍇䛊䜳䜭䞀䜳 䜘䛣 䛴 ∸⌦Ⓩ㈻㔖䟺㼓㼋㼜㼖㼌㼆㼄㼏 㻃㼓㼒㼌㼑㼗䟻䛱 䛐䛊䛬ິⓏ䛱 䛌䜻䝣 䝩 䝰 䞀 䜻 䝫 䝷 䜘 ⾔ 䛊 䚮 㻴㻦 㻧 䛱 㛭 䛟 䜑 ㎾ జ䛴 䛰 䛊 ∸ ⌦ Ⓩ ゕ 䜘 ⾔ 䛌 䛙 䛮 䜘┘ᵾ䛮 䛝 䛬 䛊䜑 䚯 ᖲ ᠺ 㻔㻛 ᖳ ᗐ 䛵 䚮 㻳㻤㻦㻶㻐㻦㻶 ✄഼㛜ጙ䛱 ఔ䛌䝛 䝱䜴䝭䝤㛜Ⓠ䛮 Ẓ㍉Ⓩ㔔䛊 㼘㼓㻐㼇㼒㼚㼑 䜳䜭䞀䜳㈻㔖䛭䛴 䜻䝣䝩 䝰䞀䜻䝫 䝷䛒さㄚ㢗 䛭䛈䛩䛥䛒 䚮௧ୖ䛱 ᖲᠺ 㻔㻜ᖳᗐ䛱 䛐䛗䜑 㐅ᒈ䜘㏑䛿䜑 䚯㻃
䟺㻔䟻㻃 ㍇䛊 ງᏕⓏ䜳䜭䞀䜳䛴ሔྙ䛴ゝ⟤䜦 䝯䜸䝮䜾 䝤䛴䜷 䜽䝌フ౮㻃㻃
ᖲᠺ 㻔㻛 ᖳᗐ䛱 ᘤ䛓⤾䛓 䚮㟸ᦜິⓏ䛱㻇 㻲㻋㼄㻌㻇 ᨭⰃ䛛 䜒䛥 㻺㼌 㼏 㼖㼒㼑 䜳䜭䞀䜳 ష⏕䛮 㻬㼚㼄㼖㼄 㼎㼌 䜶䞀䜼ష⏕䜘⏕䛊䛬䚮 Ꮔ䜹䜨 䜾 㻖㻕
㻖
ᗐ㍇䛊ೋ䜘⏕䛝 䚮㼖㼗㼕㼄㼑㼊㼈 䜳 䜭䞀䜳㈻㔖౪Ꮛᛮ䜘ㄢ䛿䛥䚯ᖲᠺ 㻔㻜 ᖳᗐᮆ䛴 Ⅴ䛭 ᭩䜈㍇䛊 㼘㼓㻐㼇㼒㼚㼑 䜳䜭䞀䜳
㈻㔖䛵 㻖㻰 㼈㻹 ⛤ᗐ䛭䛈䜐䚮䛙 䜒䛱ᑊᚺ䛟䜑䝕䜨୯㛣Ꮔ㈻㔖䛵 㻔㻘㻘㻰㼈㻹 䛭䛈䜑 䚯䝕䜨 ୯㛣Ꮔ䛴䜷 䝷䝛 䝌䝷ἴ㛏䜎䜐 䜈ኬ䛓䛰✭㛣Ꮔ䜹䜨 䜾䛭 ⾔䜕䜒䛬䛊䜑 䜻䝣䝩 䝰䞀䜻䝫 䝷䛮 䛝䛬䛵 䚮⌟ᅹ䛴䛮 䛙 䜓ୠ⏲䛭 ᭩䜈㍇䛊 㼘㼓㻐㼇㼒㼚㼑 䜳䜭 䞀䜳㈻㔖䜘ᐁ⌟䛝 䛬䛊䜑䚯㼐㼂㼘㼇㻠㻖㻰 㼈㻹䛴䜻䝣䝩䝰䞀䜻䝫䝷䛱 㛭䛝 䛬䛵 䚮䛙 䜒䜘ྊ⬗䛮 䛟䜑 䛥䜇䛱㻧㻧㻫 㻰㻦䛱 ᑊ䛝 䛬ᖼ䛪䛑 䛴 䜦 䝯䜸䝮䜾 䝤ⓏᨭⰃ 䜘᪃䛝 䛥䚯 䛰ᨭⰃⅤ䛵 䚮㻋㼌 㻌㈻㔖๑ฌ⌦ 䚮㻋㼌㼌 㻌䜳 䝱䝒 䝱䜼䜯䝯よἪ䚮 㻋㼌㼌㼌㻌䝋䝙 䝰 䞀 䜻䝫䝷よἪ䚮䛴㻖䛪䛭 䛈䜑 䚯ᨭⰃ䛛 䜒䛥㻧㻧㻫 㻰㻦 㻋㻰㻳㻧㻧㻫 㻰 㻦㻌䜦 䝯䜸䝮䜾䝤䛴ゝ⟤䜷䜽䝌䛮ᚉᮮ䛴㻫 㻰㻦䜦䝯䜸䝮 䜾䝤䛴ゝ⟤䜷 䜽䝌䜘ᅒ䠃䛱 䛐䛊䛬Ẓ㍉䛝䛬䛊䜑 䚯㻃
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ᅒ䠃䠌ᨭⰃ䛛 䜒䛥 㻧㻧㻫㻰 㻦㻋㻰㻳㻧㻧㻫㻰㻦 㻌䜦 䝯䜸䝮䜾䝤䛮 ᚉᮮ䛴 㻫㻰㻦 䜦䝯䜸䝮䜾䝤䛴ゝ⟤䜷䜽 䝌Ẓ㍉䚯㻫㻰㻦 䜦 䝯䜸 䝮䜾䝤䛱 ᑊ䛟䜑ゝ⟤䜷䜽 䝌䛴 䜳䜭䞀䜳㈻㔖౪Ꮛᛮ䛵㐛ཡ䛴䜻䝣䝩䝰䞀䜻䝫 䝷⤎ᯕ䛑 䜏ᚋ䜏䜒䛥⤊㥺์䚯㻧㻧㻫 㻰㻦
䛴⤎ᯕ䛵 㼐 㼂㼘㼇㻠㻔㻔㻰㼈㻹 䛴 䜻䝣䝩 䝰䞀䜻䝫 䝷䝡䜨 䝷䝌䛱 䛐䛗䜑ゝ⟤䜷 䜽䝌䚯㻃
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ᚉᮮ䛴 㻫 㻰㻦 Ἢ䛮 Ẓ䛿䛬ṹ䛴䜷䜽䝌๎΅䛱 ᠺຉ䛝 䛬䛊䜑 䛮 䛮䜈䛱 䚮⌟ᅹ䛴ゝ⟤ᶭᛮ⬗䛭 㼓㼋㼜㼖㼌㼆㼄㼏㻃㼓㼒㼌㼑 㼗 䛴 䜻 䝣䝩䝰䞀䜻䝫 䝷䛒ྊ⬗䛭 䛈䜑 䛙䛮䛒ぜ䛬䛮 䜒䜑 䚯⌟ᐁୠ⏲䛱䛐䛗䜑 䝕䜨 ୯㛣Ꮔ㈻㔖㻇 㼐㼂㼧㼓㼌㻠㻔㻗㻓㻇㻰㼈㻹 䛵䜈䛵䜊┘
๑䛭 䛈䜐䚮ᖲᠺ㻕㻓ᖳᗐ䛱䛐䛗䜑┘ᵾ䛵㼓㼋㼜㼖㼌㼆㼄㼏 㻃 㼓㼒㼌㼑㼗䛱 䛐䛗䜑䜻䝣䝩䝰䞀䜻䝫 䝷䛭 䛈䜑䚯䛙 䜒䛵㻔㻜㻛㻓ᖳิ㢄 䛱Ꮔ 㻴㻦 㻧 䜻䝣䝩䝰䞀䜻䝫 䝷䛒 ጙ䜄 䛩䛬௧ᮮ䛴 ኬ䛓䛰ከ䛭 䛈䜐䚮Ꮔ 㻴㻦㻧 ฦ㔕䛱 䛐䛗䜑 ⏤Ⓩᠺᯕ䛮䛰䜑 䛙䛮 䛒ᙽ䛛 䜒䜑 䚯㻃
䟺㻕䟻㻃 㻃䝓䝍䝱䝷㈻㔖䛰䛯∸⌦㔖䛴ゝ⟤㻃
㻃㻃ᖲᠺ㻔㻜ᖳᗐᮆ䜄 䛭䛱 䚮㼐 㼂㼘㼇㻠㻙㻔㻏㻗㻔㻏㻕㻕㻏㻔㻜 㻏㻔㻔㻏㻖㻰 㼈㻹䛴Ⅴ䛱 䛐䛊䛬䚱䠄䠇䠂䠂䚮䠄䠂䠂䠂䚮䠄䠄䠇䠂䚮䠄䠂䠂䠂䚮䠄䠂䠂 䠂䚮䠋䠋䠂ฦᏄິງᏕ㛣༟నฦ䛴 䜻䝣䝩 䝰䞀䜻䝫 䝷䛒⤂䛝 䚮⏍ᠺ䛛 䜒䛥䜴䝯䞀䜮 䝷㒼న䜘⏕䛊䛬䝓䝍䝱䝷ఎ᧓ 㛭ᩐ䛴ゝ⟤䛒 ⾔䜕䜒䚮䝥 䝁 䝷䝿 䝔䝮䜮 䝷㈻㔖䚮᧻䜽 䜯䝭䞀䝥䝁 䝷ᓻቪᏽᩐ䛰䛯 䛴 ῼᏽ䛒 䛰䛛 䜒䛥䚯∸⌦㔖䛱 䛐 䛗䜑䜳 䜭䞀䜳㈻㔖౪Ꮛᛮ䜘よᯊ䛝 䛥⤎ᯕ䚮᧻䜽 䜯䝭䞀䝥 䝁 䝷䝅䝧䝑 䝯䛱 䛐䛊䛬䜯䜨 䝭䝯ᦜິㄵ䛴 ゕ䛱 ᚉ䛌᭜⋙ 䜘☔ヾ䛝 䚮㼓㼋㼜㼖㼌㼆㼄㼏 㻃㼓㼒㼌㼑㼗 䛱 䛐䛗䜑 䝓䝍䝱䝷㈻㔖䛒ᩐ㼧㻈䛴 ⠂ᅑහ䛭ᐁ㥺䛮 ୌ⮬䛝䛬䛊䜑 䛙䛮 䜘ぜฝ䛝 䛥䟺ᅒ䠄䟻 䚯௧ ୕䛴 ⤎ᯕ䛵 䚮䠄䠂䠂䠉ᖳ㻯㼄㼗㼗㼌㼆㼈ᅗ㝷ఌ㆗䛭ᣅᙽㅦⁿ䟺 ㄵᩝ䠃䟻䛮 ୌ⯙ㅦⁿ䛭 Ⓠ⾪䛛 䜒䛥䟺 ㄵᩝ㻕 㻏㻖䟻䚯௧୕䛮୩⾔ 䛝䛬䚮䜳 䜭䞀䜳㈻㔖䛴 ⧖䜐㎲䜅ᏽᩐ䛐䜎䛹ᙁ䛊┞பష⏕䛴 ⤎ྙᏽᩐ䛴 㟸ᦜິⓏỬᏽ䚮㼕㼋㼒 ୯㛣Ꮔ䛴 ᓻቪᖕ䛴
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ᅒ䠄䠌䝓䝍䝱䝷㈻㔖䛴 ᐁ㥺ೋ䛮 䛴 Ẓ㍉䚯ᶋᲤ䛵ᐁ㥺ೋ䜘⾪䛟䚯㻃
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䚼䠄䚽᭯㝀Ὼᗐ䝿᭯㝀ᐠᗐ䠣䠕䠖䛴◂✪䟺 㟯ᮄ䚮㔘ㆺ䚮▴䚮ᾃ⏛䟻㻃
㻱㼂㼉㻠㻕㻃 㻴㻦 㻧㻃 䛴 㒼 న୕䛭 䛴 ☚ẴⓏ 䚮䛐 䜎䛹㞹 ẴⓏ 㐵ⶰ㈻㔖䛴ゝ⟤ 䜘⾔ 䛩䛥䚯㻨㼘 㼆㼏㼌㼇㻃 㛣ཬ㌹㻃 䛮 㻃 Ⲭ 㞹භ ᙲ㻃 䛴 ᑊ⛘ᛮ䜘⩻䛎䜑 䛙 䛮 䛱 䜎䛩䛬 㻳㼒㼏㼜㼄㼎㼒㼙 㻃 㼏㼒㼒㼓㻃┞㛭䜘䛣 䜒䛤䜒䛴 ᑊ⛘ᛮ䛱 ᚺ䛞䛬ฦ㢦䛝 䚮䛙 䜒䜏䛴 㐵ⶰ㈻
㔖䜘 ᑙฝ 䛟䜑 䛒 䛭 䛓 䜑 䚯 䛣 䜒䜏 䛴 ⤎ ᯕ䚮 ᭯ 㝀Ὼ ᗐᦜ ິ ㄵ䛑 䜏䛴 䛴 ㏳ 䜐䚮 ☚ ẴⓏ 㐵ⶰ㈻㔖 㻃 㻋㼐 㼂㻰 㻌㻃 䛵 㞹 ẴⓏ㐵ⶰ㈻㔖㻃 㻋㼐㼂㻨 㻌㻃 䜎䜐䜈ኬ䛓 䛕䛰䜑 䛰䛯䜘♟䛝䛥䚯䛛 䜏䛱୦⩽䛴㈻㔖Ẓ㻃 㻋㼐 㼂㻨㻒㼐㼂㻰 㻌㻃 䛒 㻃 㻤㼇㻶㻒㻦㻩㻷㻃 ᑊᚺ䜎 䜐ị䜇䜏䜒䜑 ೋ䛱 Ⰳ䛕ୌ⮬䛟䜑 䛰䛯 䜘㆗ㄵ䛝 䛥䚯䜄 䛥䚮ᫎᖳᗐ䜄䛭 䛱ゝ⟤䛝 䛥㻃 㻱㼂㼉㻠㻕 㻃 㻴㻦 㻧㻃 䛴 䜶䞀䜼㒼న䜘 ⏕䛊䛬㔔䛊䜳 䜭䞀䜳 䛴 ⮤⏜䜬 䝑 䝯䜲䞀 䜊䚮䜳 䜭䞀䜳 ᩐ䜹䜿 䝛 䝊䜧䝗 䝮䝊䜧䞀䛴 ᭯㝀 ᐠᗐຝᯕ䛱 㛭 䛟䜑ゝ⟤䜘⾔ 䛩䛥䚯Ꮥ䝡䝊䝷䜻䝧䝯䛱 㛭䛟䜑 㻷㼄㼜㼏㼒㼕 ᒈ㛜Ἢ䜘⏕䛊䛥䚯ᚉᮮ䛴 ᪁Ἢ䛱ຊ䛎䛬᭯㝀ᐠᗐ䛴々⣪న┞㒂ฦ䜘䜰 䜪䜽㛭ᩐ䛭 ㎾జ䛝 䛬 㼕㼈㼚 㼈㼌㼊㼋 㼗㼌㼑 㼊 Ἢ䜘⏕䛊䜑ᡥἪ䛱 䜎䜑ゝ⟤䜈⾔䛩䛥䟺ㄵᩝ䠆䚮䠇䚮䠈䟻䚯ᅒ㻖ཤ↯䚯㻃
ᅒ䠅䠌 ᭯㝀Ὼᗐ䝿 ᭯㝀ᐠᗐ䠣䠕䠖䛴 ◂✪䚯ᕞᅒ䛵 䚮☚ẴⓏ㐵ⶰ㈻㔖㻃 㻋㼐 㼂㻨 㻌䛮 㻃 㞹ẴⓏ㐵ⶰ㈻㔖㻋㼐 㼂㻰 㻌䛴Ẓ䛭 䛈䜑 㐵ⶰ㈻㔖Ẓ䛴 Ὼᗐ౪Ꮛᛮ䚯㻤㼇㻶㻒㻦㻩㻷 㻃 ᑊᚺ䛑 䜏䛴 㼐 㼂㻨㻃㻒㻃㼐 㼂㼊㼄㼓㻃㻠㻃㻔 㻑㻗㻙㻃 䜈ᅒ୯䛱♟䛝䛥䚯ྎᅒ䛵䚮々⣪న
┞䜘䜰䜪䜽 㛭ᩐ䛭 ㎾జ䛟䜑 ᡥἪ䛱 䜎䜑᭯㝀ᐠᗐ䛭 䛴䜳 䜭䞀䜳ᩐ䜹䜿䝛䝊䜧䝗 䝮䝊䜧䞀䚯㻃
䚼䠅䚽䜳䜭䞀䜳䝿䜴 䝯䜮䝷䝿 䝛䝭䜾 䝢┞䛱 䛐䛗 䜑䝅䝧䞀䝦 䝏䜪 䝤ᾐ䛴◂✪䟺 㟯ᮄ䟾㔘ㆺ䟾▴䟾ᾃ⏛䟻㻃
䝅䝧䞀䝤䜳䜭䞀䜳䛮 ཬ䝅 䝧䞀䝤䜳 䜭䞀䜳 䛴 ᮨ⦙≟ឺ䛭 䛈䜑䝅 䝧䞀䝦 䝏䜪 䝤㻋≁䛱 㻭㻒䃞㻏㻃 䃝㼆㻏㻃 䃞㻊㻃 ≟ឺ䛰䛯㻌䛒䜳 䜭䞀䜳䝿 䜴䝯䞀䜮 䝷䝿䝛 䝭䜾䝢㻋㻴㻪㻳㻌┞୯䛭 ᾐ䛟䜑 Ὼᗐ䜊≁ᛮ䜘Ꮔ 㻴㻦 㻧 䛱 䜎䜑 ➠ୌཋ⌦ゝ⟤䛭 ◂✪䛝 䛥䚯㻃
䛙䜒䛵䚮㔔䜨 䜮 䝷⾢✲ᐁ㥺䛭 㻴㻪㻳 ⏍ᠺ䜘♟䛟㔔さ䛰䜻䜴䝎䝯䛴 ୌ䛪䛭 䛈䜑䚸㻭㻒 䃞㻃 ᢒโ䚹䜘ึ᩷䛟䜑 ୕䛭 ᮇ
㈻Ⓩ䛰 ሒ䛮 䛰䜑 䚯䝅 䝧䞀䝦 䝏䜪 䝤䛴┞㛭㛭ᩐ 䛑 䜏 䚮≟ឺ 䛴㈻㔖䜽 䝞䜳 䝌 䝯䜘ゝ⟤䛝 䚮䛣 䜒䜏䛴 ✭㛣 ᪁ྡྷ䛴 ሾ ⏲᮪௲䜘ን䛎䜑 䛱 䜎䛩䛬䚮㻴㻪㻳㻃┞䛱 䛐䛗䜑 䝅 䝧䞀䝦 䝏䜪 䝤≟ឺ䛴 ᾐ䜘ึᏽ䛟䜑 䚯ྜྷ䛱 ἴິ㛭ᩐ䜘ゝ⟤ 䛝 䚮䛣 䛴 Ὼᗐ౪Ꮛᛮ 䜈ㄢ䛿䛥䚯䛛 䜏䛱 䚮 㼃㼃㛣 Ⓩ㻃 㻭㻒 䃞㻃 ᢒ โ㻊㻊䛴 䜻 䝎 䝮䜮 䛱 㔔さ䛰䚮ທ ㉫≟ឺ㻃 䃞㻋㻕㻶㻌 䛴ゝ⟤ 䜘 ⾔䛌Ⅵ䛱 䚮ᑊみ䛴 䝊䜳 䝏䝇䜳 䜘⏕䛊䛬ᇱᗇ≟ឺ䛮 ທ㉫≟ឺ䜘ฦ㞫䛝䚮䜄 䛥䚮䝥 䝁 䝷┞㛭㛭ᩐ䛴ᏽᩐ䝦䞀䝍䛴 ຝᯕ䜘ཱི䜐㝎䛊䛥ゝ⟤䜘⾔䛩䛥䚯㻃 㻃
ᡥἪ䛴 ☔ヾ䛴䛥䜇䚮➠ୌṹ㝭䛮䛝 䛬㟸➴᪁Ꮔ䛭 䛴䜳䜬 䝷䝅㎾జ 㻴㻦 㻧䛴ゝ⟤䜘⾔䛊䚮ᑛ䛰䛕䛮 䜈㻃 㻕㻑㻖㻷㼆䜄 䛭䚮䝅 䝧䞀䝦 䝏䜪 䝤䛴 㻶 ≟ឺ䚮㻳 ≟ឺ䚮䛛 䜏䛱䛣 䜒䜏䛴ທ㉫≟ឺ䜄䛭 ྱ䜇䛬䝓䝍䝱䝷Ⓩ≟ឺ䛴 ᾐ䛒 ☔ヾ䛭䛓䛰 䛊䛙䛮 䜘♟䛝 䛥䚯ᅒ䠆ཤ↯䚯㻃
㻃
ᅒ䠆䠌䝅䝧䞀䝦 䝏䜪 䝤ᾐ䛴 ◂✪䚯㻥㼈㼗㼋㼈㻐㻶㼄㼏㼓㼈㼗㼈㼕 ἴິ㛭ᩐ䛴మ✒౪Ꮛᛮ䛭 䚮ᕞᅒ䛒 㻶 ἴ≟ឺ䚮ྎᅒ䛒 㻳 ἴ≟ ឺ䛱 㛭䛟䜑ᇱᗇ≟ឺ䚮➠ୌທ㉫≟ឺ䜘⾪䛟䚯㻃
㻃 㻃
䚼䠆䚽Ꮔ 㻴㻦㻧䛱 䜎䜑୯ᛮ㻮୯㛣Ꮔ䛴㻥 䝕䝭䝥䝃䛴㟸ᦜິⓏ⧖䜐㎲䜅ᏽᩐ䛴ゝ⟤䟺 㟯ᮄ䟾ྚỜ䟾ㆺཾ䟻㻃
㻃 㻃 㼒㼕㼅㼌㼉㼒㼏㼇㼌㼑 㼊䜘⏕䛊䛥Ꮔ୕䛴 㻶㼆㼋㼕㼒 㼈㼇㼌㼑㼊㼈㼕㻃 㼉㼘㼑㼆㼗㼌㼒㼑㼄㼏䛴 ᏽᘟ䜘 㼇㼒㼐㼄㼌㼑㻐㼚㼄㼏㼏㻃 㼉㼈㼕㼐㼌㼒㼑䛱 㐲⏕䛝䚮䛣䛴 රమ Ⓩ䛰ᚺ⏕䛮䛝 䛬㻮㼄㼒㼑㻃㻥㻐㼓㼄㼕㼄㼐 㼈㼗㼈㼕ཀྵ䛹 㼘㻏㻃㼇㻏㻃㼖㻃㼔㼘㼄㼕㼎㈻㔖䛴㟸ᦜິㄵⓏ䛰⧖䜐㎲䜅䜘⾔䛩䛥㻋ㄵᩝ 㻛 㻌䚯㻃 㻃 㻃 㻱㼂㼉㻠㻕㻎㻔㻃㻴㻦 㻧 䛱 䛐䛗䜑 ⤎ྙᏽᩐ䛴 㟸ᦜິㄵⓏ䛰 㼕㼘㼑㼑㼌㼑㼊 䜘䚮㻶㼆㼋㼕㼒 㼈㼇㼌㼑㼊㼈㼕㻃㼉㼘㼑㼆㼗㼌㼒㼑㼄㼏 䜘⏕䛊䛬ị䜇䜑 䛥䜇䛴 ◂✪䛱 ╌ᡥ䛝䛥䚯㻃
㻃
䚼䠇䚽㻬㻯㻧㻪䝿 㻭㻯㻧 㻪 䛴ᵋ⠇䟺Ꮻᕖ䟾ྚỜ䟾▴䟻㻃
㻔㻔䟻䛮㻃 㻴㻦㻧㻃 㼐㼄㼕㼎㼘㼓㻃 ゕㄊ㻃 㻴㻦 㻧㼐㼏 㻃 䛴 ➿ᏽ䟺 ㄵᩝ䠃䠃䟻䛱 ㈁⊡䛝 䛥䚯㻭㻯㻧㻪㻃 㻋㻭㼄㼓㼄㼑㻃 㻯㼄 㼗㼗㼌㼆㼈㻃 㻧㼄㼗㼄㻃 㻪㼕㼌㼇 㻌䟺ㄵᩝ䠋䟻䛵 䚮 ᅗහ䛴 Ꮔ 㻴㻦 㻧ཀྵ䛹㛭㏻ฦ㔕䛴 ◂✪⩽䛴 䝋䞀䝃භ᭯䜘䜹䝡 䞀䝌䛟䜑 㻃 㻧㼄㼗㼄 㻃 㻪㼕㼌㼇㻃 䛭䚮㻕㻓㻓㻘ᖳ䛱 㛜Ⓠ䛒 㛜ጙ 䛛䜒䚮㻕㻓㻓㻚 ᖳ 㻖 ᭮䜻䜽䝊䝤䛒Ᏸᠺ䛝 䛥䚯㻕㻓㻓㻚 ᖳᗐ䛵 䚮㻭㻯㻧㻪 䛱⤾䛟䜑 㻙 ◂✪ᣈⅤ䛴 ᢰᙔ⩽䛮༝ງ䛝 䛬䚮モ㥺 㐘⏕䜘⾔䛩䛥䚯㻕㻓㻓㻛ᖳ➠ 㻕ᄿ༖䛱 ᐁ㐘⏕䜘㛜ጙ䛟䜑ᏽ䛭 䛈䜑䚯㻃
㻃
䚼䠈䚽Ꮔ 㻴㻦㻧䛱 䜎䜑ᰶງ䛴◂✪䟺㟯ᮄ䟾▴䟻㻃
㻃㻃㻕 䛪䛴 ᰶᏄ䛴 㛣䛱഼䛕ງ䚮ᰶງ䛵 䚮୯㐪㊝㞫䛭 䛵ᘤງ䚮㎾㊝㞫䛭䛵 ᙁ䛊ᩲງ䛱 䛰䜑䛙䛮 䛒 ᐁ㥺Ⓩ䛱▩䜏䜒 䛬䛊䜑 䛒 䚮䛙 䛴 ᰶງ䛴 ᛮ㈻䚮≁䛱 ㎾㊝㞫䛭 䛴 ᩲງ㻋ᩲງⰲ䛮 䛶䜒䛬䛊䜑 㻌䜘⌦ㄵⓏ䛱 ᑙ䛕䛙䛮 䛵 䚮⣪⢇ᏄཋᏄ ᰶ∸⌦䛱ṟ䛛 䜒䛥ኬၡ㢗䛴 㻔 䛪䛭 䛈䜑 䚯㟯ᮄ䚮▴䛵 ᮶ாኬᏕ䛴ิ⏛䛮 䛴භྜྷ◂✪䛭䚮ᰶᏄ㛣䛴䝡 䝊䝷䜻䝧 䝯䜘Ꮔ㻴㻦 㻧䛴᪁Ἢ䛭ゝ⟤䛝 䛥䚯㻦 㻳㻐㻳㻤㻦㻶 㻃 㻦㼒㼏㼏㼄㼅㼒㼕㼄㼗㼌㼒 㼑䛒䝕䜨 ୯㛣Ꮔᩋ䛴 న┞ᕣ䜘ゝ⟤䛟䜑䛥䜇䛱ᏽ ⩇䛝 䛥䠄䛪䛴 䝕䜨୯㛣Ꮔ䛱ᑊᚺ䛟䜑 ἴິ㛭ᩐ䜘 㻕 ᰶᏄ䛴 ሔྙ䛱 ᣉᘿ䛝 䚮䛣 䛴 ἴິ㛭ᩐ䛑 䜏䝡 䝊䝷䜻䝧䝯䜘ゝ
⟤䛟䜑 䛮䛊䛌᪁Ἢ䜘䛩䛥䚯Ꮔ㻴㻦 㻧䛴䜳䜬 䝷䝅㎾జ䛭 ᚋ䜏䜒䛥䝡 䝊䝷䜻䝧䝯䜘ᅒ䠇䛱㍍䛡䜑 䚯୯㛏㊝㞫䛴 ᘤ ງ䛮 㐪᪁䛭 䛴 ᩲງ䛒 ්⌟䛛 䜒䛬䛊䜑 䚯◂✪⤎ᯕ䛵ㄵᩝ䠃䠄䛱Ⓠ⾪䛛 䜒䛥䚯㻃
㻃㻃䛛 䜏䛱 䚮୯ᚨ ງ௧አ 䛴 ᠺฦ䛮 䛝 䛬 䝡 䝊䝷 䜻䝧 䝯䛴 䝊 䝷䝁 䝯ງ䛴ゝ⟤䜘⾔ 䛩䛥䜐 䚮ງᏕ Ⓩ䜳 䜭䞀䜳 䛴 ᐞ 䜘 ྱ 䜆䜶䞀䜼㒼న䛭 䛴ゝ⟤䜈㛜ጙ䛝 䛥㻋ㄵᩝ䠃䠊㻌䚯䜄 䛥䚮䛙 䛴◂✪䜘Ⓠᒈ䛛 䛡䚮䜽 䝌䝰䝷䜼䝿 䜳 䜭䞀䜳 䜘ྱ䜆䝔䝮䜮 䝷䛭 䛈䜑䝓䜨 䝞䝱䝷䛮ᰶᏄ䛴 䝡䝊䝷䜻䝧䝯䛴ゝ⟤䜈⾔䛩䛥㻋ㄵᩝ䠃䠉㻌䚯㻃
㻃
ᅒ䠇䠌Ꮔ 㻴㻦㻧䛴䜳䜬 䝷䝅 ㎾జゝ⟤䛭 ᚋ䜏䜒䛥䠄ᰶᏄ㛣䛴䝡 䝊䝷䜻䝧䝯䚯䕹䛵ᰶງ䛴 䜽䝘 䝷䠃㔔㡧ᠺฦ䚮䖙䛵 䜽䝘䝷䠅㔔㡧䛴 ᠺฦ䛭䛈䜐䚮ᐁ⥲䛵 ᕖ䝡 䝊䝷䜻䝧䝯䛴ᐞ䛭䛈䜑 䚯㻃
㻃 㻃
䠅䠀◂✪ᴏ⦴㻃 䟺䠃䟻◂✪ㄵᩝ㻃
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ぜ㸡ྚỜ ཪ↯㸡▴ ⌦ಞ㸡ᮌ ὀ♰㸡Ꮻᕖ ᙪ㸡ሒฌ⌦Ꮥఌ◂✪ሒ࿈㸡2007-HPC-113㸡pp.13-18㸡
2007.
10. Towards an interoperable International Lattice Datagrid: P.Coddington, S.Zhang, N.Ishii, M.Sato,
D.Melkumyan, D.Pleiter, G.Beckett, R.Ostrowski, J.Simone, B.Joo, C.Watson (ILDG Middleware
Working Group), PoS(LATTICE 2007) 044.
11. Marking up lattice QCD configurations and ensembles: P. Coddington, B. Joo, C.M. Maynard, D.
Pleiter, T. Yoshie (ILDG Metadata Working Group), PoS(LATTICE 2007) 048.
022001.
13. Lattice QCD Calculation of the rho Meson Decay Width: CP-PACS Collaboration: S. Aoki, M.
Fukugita, K-I. Ishikawa, N. Ishizuka, K. Kanaya, Y. Kuramashi, Y. Namekawa, M. Okawa, K. Sasaki,
A. Ukawa, T. Yoshie, Physical Review D76(2007) 094506.
14. WChPT analysis of twisted mass lattice data: Sinya Aoki, Oliver Baer, Eur. Phys. J. A 31 (2007) 781.
15. Lattice QCD simulations with light dynamical quarks: Sinya Aoki, AIP Conf. Proc. 892 (2007) 1.
16. The Vector and axial vector current in Wilson ChPT: S. Aoki and O. Baer, PoS(LATTICE 2007) 062.
17. Hyperon-nucleon potentials from lattice QCD: Hidekatsu Nemura, Noriyoshi Ishii, Sinya Aoki, Tetsuo
Hatsuda, PoS(LATTICE 2007) 156.
18. Lattice QCD approach to nuclear force: Noriyoshi Ishii, Sinya Aoki, Tetsuo Hatsuda, PoS(LATTICE
2007) 146.
19. Hadron interactions from lattice QCD: Sinya Aoki, PoS(LATTICE 2007) 002.
20. Thermodynamics of $N_f=2$ QCD on anisotropic lattices: N. Namekawa, Y. Kikukawa,
PoS(LATTICE 2007) 212.
䟺䠄䟻ᏕఌⓆ⾪㻃 䟺㻤䟻ᣅᙽㅦⁿ㻃
1. Dynamical Wilson quark simulations toward the physical point: Y. Kuramashi, The XXV International
Symposium on Lattice Field Theory (Regensburg, Germany, July 30 - August 4, 2007).
2. Can we extract physics at fixed topological charge ?: S. Aoki, YITP@40 Aniversary Symposium (SUNY
at Stony Brook, Stony Brook, NY, USA, May 2-5, 2007).
3. Hadron interactions from lattice QCD: S. Aoki, The XXV International Symposium on Lattice Field
Theory (Regensburg, Germany, July 30 - August 4, 2007).
4. (The) Nuclear Force from lattice QCD: N. Ishii, Workshop on Hadron Physics on the Lattice (Milos,
Greece, September 2007).
5. Lattice QCD calculation of Nuclear Forces: N. Ishii, The international workshop on chiral symmetry in
hadrons and nuclei (Osaka, Japan, November 13 - 16, 2007).
6. NN potentials from lattice QCD: ▴ ⌦ಞ㸡ཋᏄᰶ࣬ࣀࢺࣞࣤ∸⌦ᶋ᩷◂✪ఌ (KEKࠉࡗࡂࡣࠉ㸧
㸥㸥㸬ᖳ㸦㸦᭮)
䟺㻥䟻䛣䛴䛴ᏕఌⓆ⾪㻃
1. Light hadron spectrum with 2+1 flavor QCD with O(a)-improved Wilson quark: N. Ukita, The XXV
International Symposium on Lattice Field Theory (Regensburg, Germany, July 30 - August 4, 2007).
2. Application of Wilson chiral perturbation theory to 2+1 flavor lattice QCD with O(a)-improved Wilson
July 30 - August 4, 2007).
3. QCDml: Update Proposal: T. Yoshie, Workshop ILDG10 (Video conference hosted by CSSM, May 18,
2007).
4. Marking up lattice QCD configurations and ensembles: T. Yoshie, The XXV International Symposium on
Lattice Field Theory (Regensburg, Germany, July 30 - August 4, 2007).
5. Update of the QCDmll: T. Yoshie, Workshop ILDG11 (Video conference hosted by CSSM, Nov 30,
2007).
6. Nuclear force from lattice QCD: S. Aoki, Riken BNL Research Center Annual Review meeting (Riken
BNL Research Center, Upton, USA, November 5-6, 2007).
7. Lattice QCD approach to baryon-baryon potentials: N. Ishii, Nuclear Physics at J-PARC --Pre-symposium
of INPC2007-- (RICOTTI in Tokai village, Japan, June 1--2, 2007).
8. Lattice QCD studies to nuclear force: N. Ishii, International Nuclear Physics Conference(INPC2007)
(Tokyo, Japan, June 2007).
9. Lattice QCD approach to NN potentials: N. Ishii, QCD Downunder II (Auckland, New Zealand, January
17 - 19, 2008).
10. Thermodynamics of $N_f=2$ QCD on anisotropic lattices: Y. Namekawa, The XXV International
Symposium on Lattice Field Theory (Regensburg, Germany, July 30 - August 4, 2007).
11. Light hadron spectrum with 2+1 flavor dynamical O(a)-improved Wilson quarks: ᾃ⏛ ᑠသ㸡ᮇ∸⌦
Ꮥఌ ➠㸫㸧ᅂᖳḗኬఌ㸝ᾇ㐠ኬᏕࠉᮈᖙࠉ㸧㸥㸥㸬ᖳ㸮᭮㸧㸦࣭㸧㸩㸞.
12. O(a)ᨭⰃࡈࡿࡒࣜࢮࣤࣆ࣐࢛࢘ࣜࣤࢅ⏕࠷ࡒ⌟ᐁⓏࢠ࢚࣭ࢠ㈻㔖࡚ࡡN_f=2+1ᏄQCD
࡛ࣀࢺࣞࣤࢪ࣋ࢠࢹ࣑ࣚ㸯 ᾃ⏛ ᑠသ㸡ᮇ∸⌦Ꮥఌᖳఌ ➠㸫㸨ᅂᖳḗኬఌ㸝㎾␝ኬᏕࠉ᮶ኬ
㜨ࠉ㸧㸥㸥㸭ᖳ㸨᭮㸧㸧࣭㸧㸫㸞.
13. Application of Wilson chiral perturbation theory to 2+1 flavor lattice QCD with $O(a)$-improved Wilson
quarks: ຊᇸ ኬ㍔㸡ᮇ∸⌦Ꮥఌ ➠㸫㸧ᅂᖳḗኬఌ㸝ᾇ㐠ኬᏕࠉᮈᖙࠉ㸧㸥㸥㸬ᖳ㸮᭮㸧㸦
࣭㸧㸩㸞.
14. $O(a)$ᨭⰃࡊࡒࣜࢮࣤࣆ࣐࢛࢘ࣜࣤ࡞ࡻࡾNf=2+1ᏄQCD࡞࠽ࡄࡾࣜࢮࣤ࢜ࣚࣜᦜ
ິㄵࢅ⏕࠷ࡒよᯊ㸯 ຊᇸ ኬ㍔㸡ᮇ∸⌦Ꮥఌᖳఌ ➠㸫㸨ᅂᖳḗኬఌ㸝㎾␝ኬᏕࠉ᮶ኬ㜨ࠉ㸧
㸥㸥㸭ᖳ㸨᭮㸧㸧࣭㸧㸫㸞.
15. Topological susceptibility in $2+1$ flavor lattice QCD: ⁝ᕖ 㸡ᮇ∸⌦Ꮥఌᖳఌ ➠㸫㸨ᅂᖳḗ
ኬఌ㸝㎾␝ኬᏕࠉ᮶ኬ㜨ࠉ㸧㸥㸥㸭ᖳ㸨᭮㸧㸧࣭㸧㸫㸞.
16. Non-perturbative renormalization of quark mass for three flavours QCD with Wilson fermion and RG
improved gauge action: ㆺཾ 㸡ᮇ∸⌦Ꮥఌ ➠㸫㸧ᅂᖳḗኬఌ㸝ᾇ㐠ኬᏕࠉᮈᖙࠉ㸧㸥㸥
㸬ᖳ㸮᭮㸧㸦࣭㸧㸩㸞.
17. ᏄQCDゝ⟤ࡡᑑᮮാ --࣋ࢰࣆࣞࢴࣈࢪゝ⟤ᶭ࠾ࡼࢡࣛࢴࢺࡱ࡚㸯 ྚỜ ཪ↯㸡ࠔゝ⟤⛁Ꮥ࡞
18. ᏄQCD ࢸ࣭ࢰࢡࣛࢴࢺILDG/JLDG ࡡ㛜Ⓠ࡛㐘⏕: ྚỜ ཪ↯㸡ᮇ∸⌦Ꮥఌ ➠㸫㸧ᅂᖳḗ
ኬఌ㸝ᾇ㐠ኬᏕࠉᮈᖙࠉ㸧㸥㸥㸬ᖳ㸮᭮㸧㸦࣭㸧㸩㸞.
19. ࢨ࣐࣭ࣖࣝࢨࣘࣤࡡࡒࡴࡡࢸ࣭ࢰࢡࣛࢴࢺ --JLDG/ILDG ࡡ⌟≟࡛ᑑᮮ㸯ྚỜ ཪ↯㸡ࢨࣤ࣎ࢩ
࣑''ᮅᮮࡡ⣪⢇Ꮔ࣬ཋᏄᰶᩐೋࢨ࣐࣭ࣖࣝࢨࣘࣤ'' 㸝࢙࣎࢜ࣜࡗࡂࡣ㸡ࡗࡂࡣࠉ㸧㸥㸥㸬ᖳ㸦
㸧᭮㸦㸮࣭㸧㸥㸞.
20. HEPnet-J/sc ሒ࿈㸯ྚỜ ཪ↯㸡HEPnet-J ฺ⏕⩽ఌ2008㸝ᒱᒜኬᏕ㸡ᒱᒜࠉ㸧㸥㸥㸭ᖳ㸦᭮㸦㸨
࣭㸦㸩㸞.
21. ᏄQCDࡡࢲࣔࣝࣤࢩ㸯ࣀࢺࣞࣤ࠾ࡼࣀࢺࣞࣤ㛣┞பష⏕: 㟯ᮄ ួஒ㸡ࢨࣤ࣎ࢩ࣑''ᮅᮮ
ࡡ⣪⢇Ꮔ࣬ཋᏄᰶᩐೋࢨ࣐࣭ࣖࣝࢨࣘࣤ'' 㸝࢙࣎࢜ࣜࡗࡂࡣ㸡ࡗࡂࡣࠉ㸧㸥㸥㸬ᖳ㸦㸧᭮㸦㸮࣭
㸧㸥㸞.
22. The nuclear force from lattice QCD: ▴ ⌦ಞ㸡⌦◂RIBF࣐ࢼ࣭࣠ࢠࢨࣘࢴࣈ''Ꮽᏽᰶ࣬ࢪࢹࣝ
ࣤࢩࣀࢺࣞࣤཋᏄᰶࡡྙྜྷ⌦ㄵ◂✪ఌ---㍇࠷࢙࢞ࢯࢲࢴࢠ⣌ࡡᵋ㏸ࢅ୯ᚨ࡛ࡊ࡙---'' (⌦Ꮥ
◂✪ᡜࠉකࠉ㸧㸥㸥㸬ᖳ㸬᭮㸦㸬).
23. ᏄQCD࡞ࡻࡾᰶງࡡ◂✪㸯▴ ⌦ಞ㸡ᮇ∸⌦Ꮥఌ ➠㸫㸧ᅂᖳḗኬఌ㸝ᾇ㐠ኬᏕࠉᮈᖙࠉ
㸧㸥㸥㸬ᖳ㸮᭮㸧㸦࣭㸧㸩㸞.
24. ᰶງࡡ➠ୌཋ⌦ゝ⟤㸯▴ ⌦ಞ㸡ᮇ∸⌦Ꮥఌᖳఌ ➠㸫㸨ᅂᖳḗኬఌ㸝㎾␝ኬᏕࠉ᮶ኬ㜨ࠉ㸧
㸥㸥㸭ᖳ㸨᭮㸧㸧࣭㸧㸫㸞.
䠆䠀䜻 䝷䝡䜼䜪 䝤䛴㛜ത㻃
