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ÔØÖ¾ºÓÙÒØÒÝÓÒ<strong>×</strong>ÒËØÖÒÌÓÖÝ αβÓÑØÓÙÖ<br />

ØÐعÓÒÙÓØØÝÔÁÁ<strong>×</strong>ØÖÒº ÓÑÒÛØØÓÙÖÒÓÒ¹ÖÐÓ<strong>×</strong>ÓÒ<strong>×</strong>¸ØÝÓÑØÖÒ¹ËÛÖÞÓ<strong>×</strong>ÓÒ<strong>×</strong>Ò<br />

˙βÓÑÓÙÖÖعÑÓÚÒÖÐÓ<strong>×</strong>ÓÒ<strong>×</strong>ºÏÒ ÐÒܺÇÒÑÒ<strong>×</strong>ÓÒÐÖÙØÓÒÓÒØÓÙÖ¹ØÓÖÙ<strong>×</strong>¸ØY ÐعÑÓÚÒÖÐÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØY<br />

ÖØÖÒ¹ËÛÖÞÖÑÓÒ<strong>×</strong>ÒØÐعÓÒÙÓØØÝÔÁÁ<strong>×</strong>ØÖÒº<br />

˙α<br />

1¹ÑÒ<strong>×</strong>ÓÒÐØÓÖÝØ<strong>×</strong><br />

RºÌ<strong>×</strong>ÓÑ ¿ºÌÖÑÓÒ<strong>×</strong>Öψ AβÒψ ˙βÛÖA<strong>×</strong><strong>×</strong>ÔÒÓÖÒÜÓSO(4) A<br />

ØÐعÒÖعÑÓÚÒÖÑÓÒ<strong>×</strong>ÒØØÚ1 +<br />

L<strong>×</strong>ÚÒÝ ÁÒØÓÚ<strong>×</strong>ØÙÔ¸ØØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>ÙÒÖØØØZ N<strong>×</strong>ÙÖÓÙÔÓSU(2) ´¾º¿¼µ<br />

ÒÜαºÌÙ<strong>×</strong>¸Û<strong>×</strong>ØØØÖÐÖÑÓÒ<strong>×</strong>ÐÐØÖÒ<strong>×</strong>ÓÖÑ<strong>×</strong> ÇÒÒ<strong>×</strong>ØØØÓÒÐÝÐ<strong>×</strong>ØØØÖÒ<strong>×</strong>ÓÖÑÙÒÖØ<strong>×</strong>ØÓÒÖØÓ<strong>×</strong>ØØÖÖÝØ<br />

,<br />

ÌÙ<strong>×</strong>Û<strong>×</strong>ØØÓØÖÑÓÒ<strong>×</strong>ÔÙÔØÔ<strong>×</strong>ωÒØÓØÖÓÙÖÔÙÔØÔ<strong>×</strong> ´¾º¿½µ<br />

αβØÖÒ<strong>×</strong>ÓÖÑ<strong>×</strong><strong>×</strong> ´¾º¿¾µ 2Ò<br />

ω −1ºÌÐY Y<br />

ÌÙ<strong>×</strong>¸ØÛÓÐ<strong>×</strong>ÖÒÚÖÒØÙÒÖØZ NÒØÓØÖØÛÓØÖÒ<strong>×</strong>ÓÖÑÛØÔ<strong>×</strong><strong>×</strong>ω ω −2 RÐ<strong>×</strong>ØÑÔÔØÓ´<strong>×</strong>ݵÖعÑÓÚÖ<strong>×</strong>ºÌÙ<strong>×</strong>¸Û<strong>×</strong><br />

Nº<br />

LÐ<strong>×</strong>ØÑÔÔ<br />

ÖÑÓÒ<strong>×</strong>º<br />

.ÐÐÓØÖÐ<strong>×</strong>ÖÒÚÖÒØÙÒÖØZ ÁÒØÑÒ<strong>×</strong>ÓÒÐÖÙØÓÒÓØØ(2, 0)ØÓÖÝÓÒT AαÚÖ<strong>×</strong>ØÓÓÙÖÐعÑÓÚÒÖÐ<br />

4¸ØSU(2)<br />

αβÚ ØÓ´<strong>×</strong>ݵÐعÑÓÚÖ<strong>×</strong>ÒØSU(2) ØØØÓÖÓÐ<strong>×</strong>ÖÐØÓÒºÁÒÔÖØÙÐÖ¸ØÓÙÖÓ<strong>×</strong>ÓÒ<strong>×</strong>ØØÖ<strong>×</strong>ÖÓÑY Ö<strong>×</strong>ØÓÓÙÖÐعÑÓÚÒÖÐÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØψ ¿½<br />

4º<br />

( )<br />

g β ω 0<br />

α ≡<br />

0 ω −1<br />

ÛÖω= exp(2πi/N)ÓÖN = 2, 3,<br />

ψ Aα → g α β ψ Aβ .<br />

αβ → g α γ g α δ Y γδ .

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