{"id":25562,"date":"2016-10-03T00:17:38","date_gmt":"2016-10-02T16:17:38","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=25562"},"modified":"2018-08-03T15:22:12","modified_gmt":"2018-08-03T07:22:12","slug":"%e7%89%a9%e7%90%86%e5%ad%b8%e4%b8%ad%e7%9a%84%e5%b0%8d%e5%81%b6%e6%80%a7","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=25562","title":{"rendered":"\u7269\u7406\u5b78\u4e2d\u7684\u5c0d\u5076\u6027(\u4e0a)"},"content":{"rendered":"

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\"An
An illustration of magnetic monopole. Photo Credit: Heikka Valja. This photo is adopted from the new \u201cPhysics Professor David Hall and Team Observe Quantum-Mechanical Monopoles\u201d on Amherst College official website. News Date: 4\/30\/2015.<\/figcaption><\/figure>\n

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\u53e6\u4e00\u500b\u4f8b\u5b50\u662f\u4e8c\u7dad\u6613\u8f9b\u6a21\u578b\uff08Ising model\uff09\uff0c\u9019\u662f\u4e00\u500b\u6a21\u64ec\u78c1\u9435\u6700\u7c21\u55ae\u7684\u6a21\u578b\uff0c\u57fa\u672c\u4e0a\u5c31\u662f\u4e00\u500b\u5e73\u9762\u6676\u683c\uff0c\u6bcf\u500b\u683c\u9ede\u4e0a\u90fd\u6709\u4e00\u500b\u7bad\u982d\u4ee3\u8868\u5c0f\u78c1\u9435\uff0c\u4f46\u5b83\u5011\u53ea\u5141\u8a31\u671d\u4e0a\uff08+1\uff09\u6216\u671d\u4e0b\uff08-1\uff09\u3002\u5728\u7814\u7a76\u5b83\u7684\u71b1\u529b\u5b78\u6642\uff0c\u4ea4\u4e92\u4f5c\u7528\u7684\u5f37\u5ea6\u7d04\u7565\u53ef\u4ee5\u7528\u6eab\u5ea6T\u6216\u8005\u5012\u65781\/T = K\u4ee3\u8868\u3002\u7d93\u904e\u4e00\u4e9b\u8a08\u7b97\uff0c\u5728\u539f\u672c\u6676\u683c\u4e0a\u7684\u554f\u984c\u53ef\u4ee5\u5beb\u6210\u4e00\u500b\u5728\u5c0d\u5076\u6676\u683c\u4e0a\u7684\u554f\u984c\uff0c\u53ea\u662f\u539f\u672c\u7684 K\u63db\u6210\u53e6\u4e00\u500b K\u2019 \u3002\u5728\u6b63\u65b9\u5f62\u7684\u6676\u683c\u4e2d\uff0cK\u8207K\u2019\u6709\u4e00\u500b\u5f88\u5c0d\u7a31\u7684\u95dc\u4fc2\uff1asinh K sinh K\u2019 = 1\u3002\u8b80\u8005\u4e0d\u7528\u64d4\u5fc3\u4e0d\u77e5\u9053 sinh \u662f\u4ec0\u9ebc\u51fd\u6578\uff0c\u53ea\u9700\u8981\u6ce8\u610f\u5728\u9019\u500b\u95dc\u4fc2\u4e2d\uff0c\u56e0\u70ba\u5169\u500b\u4eba\u76f8\u4e58\u8d77\u4f86\u662f1\uff0c\u6240\u4ee5\u7576 sinh K\u5f88\u5927\uff0csinh K\u2019 \u5c31\u5f88\u5c0f\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002<\/p>\n

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\"\u5c0d\u5076\u6676\u683c\uff08dual
\u5c0d\u5076\u6676\u683c\uff08dual lattice\uff09\u57fa\u672c\u4e0a\u5f88\u597d\u5efa\u69cb\uff0c\u57fa\u672c\u4e0a\u5c31\u662f\u5728\u539f\u6676\u683c\u5169\u500b\u683c\u9ede\u9023\u7dda\u9593\u756b\u4e2d\u5782\u7dda\uff0c\u9019\u4e9b\u4e2d\u5782\u7dda\u5f62\u6210\u7684\u6676\u683c\u5c31\u662f\u5c0d\u5076\u6676\u683c\uff0c\u6bd4\u5982\u8aaa\u6211\u5011\u4e00\u958b\u59cb\u6709\u5de6\u4e0a\u89d2\u7684\u85cd\u8272\u6b63\u65b9\u5f62\u6676\u683c\uff0c\u4ed6\u7684\u5c0d\u5076\u6676\u683c\u5c31\u662f\u7d05\u8272\u865b\u7dda\u7684\u6b63\u65b9\u5f62\uff08\u6240\u4ee5\u6b63\u65b9\u5f62\u6676\u683c\u662f\u81ea\u5c0d\u5076\uff08self dual\uff09\uff09\u3002\u540c\u6a23\u7684\u6211\u5011\u4e5f\u53ef\u4ee5\u756b\u4e09\u89d2\u6676\u683c\u8ddf\u8702\u7aa9\u6676\u683c\u7684\u5c0d\u5076\u6676\u683c\uff0c\u7136\u5f8c\u767c\u73fe\u9019\u5169\u8005\u662f\u76f8\u4e92\u5c0d\u5076\u7684\u3002<\/figcaption><\/figure>\n

 <\/p>\n

\u5ef6\u4f38\u95b1\u8b80\uff1a<\/strong>\uff08\u7b46\u8005\u6309\uff1a\u5c0d\u5076\u771f\u7684\u6bd4\u8f03\u96e3\u6b38\uff0c\u6240\u4ee5\u6709\u8208\u8da3\u7684\u53ef\u4ee5\u5f9e\u9019\u7a2e\u5165\u9580\uff09
\nSavit, Duality in field theory and statistical systems<\/em>, Rev. Mod. Phys. 52<\/strong>, 453 (1980).<\/p>\n

\u6709\u5fd7\u4e4b\u58eb\u53ef\u4ee5\u770b\u5e95\u4e0b\u9019\u5169\u500b\uff1a<\/strong>
\nJ. Harvey, Magnetic Monopole, Duality and Supersymmetry, arXiv:9603086.
\nJ. Polchinski, Dualities of Fields and Strings, arXiv:1412.5704.<\/p>\n

--<\/p>\n

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[2]<\/a> \u7b46\u8005\u9ed8\u9ed8\u770b\u4e86\u6bcf\u500b\u81ea\u5df1\u77e5\u9053\u7684\u4f8b\u5b50\uff0c\u597d\u50cf\u6bcf\u500b\u90fd\u6eff\u62bd\u8c61\u7684\u2026\u2026\u3002<\/p>\n

[3]<\/a> \u5b83\u5176\u5be6\u662f\u4e00\u500b\u77e9\u9663\uff0c\u6211\u60f3\u8868\u9054\u7684\u662f\uff0c\u6211\u5011\u60f3\u628a\u96fb\u5834\u8ddf\u78c1\u5834\u653e\u5728\u4e00\u8d77\u7576\u6210\u4e00\u500b\u7269\u4ef6\u3002<\/p>\n

[4]<\/a> \u9019\u500b\u95dc\u4fc2\u8aaa\u660e\u4e86\uff0c\u5373\u4fbf\u6211\u5011\u65e5\u5e38\u751f\u6d3b\u4e2d\u6c92\u770b\u5230\u78c1\u55ae\u6975\uff0c\u4f46\u53ea\u8981\u5b87\u5b99\u4e2d\u67d0\u500b\u89d2\u843d\u6709\u78c1\u55ae\u6975\uff0c\u96fb\u5b50\u7684\u96fb\u91cf\u5c31\u8981\u88ab\u91cf\u5b50\u5316\u3002<\/p>\n

--
\n\u4f5c\u8005\uff1a\u856d\u7dad\u7ff0\uff0c\u81fa\u5927\u7269\u7406\u7cfb\u7562\u696d\u5f8c\u9003\u5230\u829d\u52a0\u54e5\uff0c\u5439\u98a8\u5439\u96ea\u4e4b\u9918\uff0c\u505a\u7814\u7a76\u8b80\u535a\u58eb\u73ed\u3002\u53ef\u60dc\u96e2\u958b\u81fa\u7063\u5f8c\u7121\u6d77\u53ef\u770b\uff0c\u53ea\u80fd\u5728\u5bc6\u897f\u6839\u6e56\u65c1\u63c0\u4e00\u65b9\u5824\u5cb8\uff0c\u507d\u88dd\u6210\u770b\u6d77\u7684\u4eba\u3002\u79d1\u6559\u4e2d\u5fc3\u7279\u7d04\u5beb\u624b\uff0c\u5f9e\u4e8b\u79d1\u666e\u6587\u7ae0\u5beb\u4f5c\u3002<\/span><\/strong><\/p>\n

 <\/p>\n

\"\u52a0\u5165\u597d\u53cb\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

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