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UNIVERSIT . . AT BONN Physikalisches Institut - Universität Bonn

UNIVERSIT . . AT BONN Physikalisches Institut - Universität Bonn

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¾º½ ÌÓÖ Ö ÐØÖÓ×ÛÒ Ï×ÐÛÖÙÒ<br />

ÖØ ÛÖ ÓÖÖÙÒÒ ÐÓÐÖ ÒÚÖÒÞ Ù Ü×ØÒÞ ÚÓÒ Ó×ÓÒй<br />

ÖÒ ÒÙÒ Ö ÔÖÑØÖ¸ ⃗β(x)¸ ÚÓÖÒÒ ×Ò¸ ÛÖÒ Ö ÚØÓÖÐÐ ÐÖ<br />

´W 1 μ,W 2 μ,W 3 μµ Ò ÄÖÒØ Ò Öغ ËÓÑØ ÓÐظ <br />

L = i¯χ L (x)γ μ D μ χ L (x)+i ¯ψ R (x)γ μ ∂ μ ψ R (x).<br />

ÒÚÖÒØ ÙÒØÖ Ò ÌÖÒ×ÓÖÑØÓÒÒ ´½¼µ Ðغ Ï ÜÔÖÑÒØÐÐ ÓÖÖظ ÖÒ<br />

× ÙÖ ÓÚÖÒØ ÐØÙÒ D μ Ï×ÐÛÖÙÒ×ØÖÑ ÞÛ×Ò Ò Ó×ÓÒÒ<br />

ÙÒ Ò ÖÑÓÒÐÖÒ¸ ÛÖÒ × Ö ËÒÙÐØØÐÖ ÒØ Ö ÐÐ ×غ<br />

ÃÒÒÒ ÒÙÒ Ö Ó×ÓÒÒ ÑØ Ò ÜÔÖÑÒØÐÐ ÒÒØÒ Ó×ÓÒÒ W +¸ W −<br />

ÙÒ Z ÒØÞÖØ ÛÖÒ ÏÖÒ × W 1 ÙÒ W 2 ÞÙ Ò ÔÝ×Ð×Ò W ± ¹Ó×ÓÒÒ<br />

Ñ×Ò¸ Ö<br />

W μ ± = √ 1 (<br />

W<br />

1<br />

μ ∓ Wμ) 2 , ´½¿µ<br />

2<br />

×Ø ÖØ ÁÒØÞÖÙÒ× Z¹Ó×ÓÒ× ÑØ W 3 ÒØ Ñи ÐÙÒ´½¾µ ÒÙÖ<br />

ÃÓÔÔÐÙÒ × W 3 Ò ÐÒ×Ò ÖÑÓÒÒ ÖÐÙØ ¹ × ÛÖ×ÔÖØ Ó Ñ<br />

ÜÔÖÑÒØÐÐÒ ÙÒ Ö × Z¸ × ×ÓÛÓÐ Ò ÐÒ×Ò Ð× Ù Ò ÖØ×Ò<br />

ÖÑÓÒÒ ÓÔÔÐغ × ×Ø ÒØ ÖÐ ÙÒÖÒ¸ Ó Ñ Ò×ØÒ ×ÒØØ ÛÖ<br />

Ò ÐÒØ Ä×ÙÒÔÖ×ÒØÖغ<br />

´½¾µ<br />

ÐØÖÓ×Û Ï×ÐÛÖÙÒ<br />

× ÓÑÑØ ÒÙÒ ÞÙÖ Ù×ÑÑÒ ÖÙÒ Ö ×ÛÒ ÙÒ ÐØÖÓÑÒØ×Ò Ï×й<br />

ÛÖÙÒº Ö ÀÙÔØÒ ×Ø ÖÛØÖÙÒÖ SU(2) IW ÙÑ Ò ÒÙ ËÝÑѹ<br />

ØÖÖÙÔÔº ÙÖ ÛÖ Ö ÓÖÖÙÒÐÓÐÖ ÒÚÖÒÞ Ò ÚÖØ× Ó×ÓÒ<br />

Ò Öظ × ÑØ Ñ W 3 Ñ×غ Ù× ÄÒÖÓÑÒØÓÒÒ ×Ö Å×ÙÒ ÖÒ<br />

× ÒÒ ÔÝ×Ð×Ò ÐÖ γ ÙÒ Zº<br />

Ö Ö×Ø ËÖØØ ×Ø Ò ÖÙÒ ÒÖ ÒÙÒ ÉÙÒØÒÞÐ Ð× ÒÖØÓÖ Ö ÞÙ×ØÞ¹<br />

ÐÒ ËÝÑÑØÖÖÙÔÔ ×Û ÀÝÔÖÐÙÒ¸ Y W º Ë ÚÖÒ Ôظ Ð× ÒÐ<br />

Ö ÐØÖÓÑÒØ×Ò ÙÒ ×ÛÒ Ï×ÐÛÖÙÒ¸ ÐØÖ× ÄÙÒ ÑØ Ö<br />

ÖØØÒ ÃÓÑÔÓÒÒØ × ×ÛÒ Á×Ó×ÔÒ׺ × ÐØ<br />

Q = Y W<br />

2 + I3 W . ´½µ<br />

×Û ÀÝÔÖÐÙÒ×Ø ÖÞÙÒ Ö ÖÙÔÔ U(1) Y ×ÓÑØ ×Ø ÚÓÐÐ×ØÒ<br />

ËÝÑÑØÖÖÙÔÔ Ö ÐØÖÓ×ÛÒ Ï×ÐÛÖÙÒ SU(2) IW ⊗ U(1) YW º Ù×Ò<br />

ÚÓÒ ´½¾µ ÒÒ ÒÙÒ ×ÙØ ÄÖÒØ L QF D Û ÓÐØ ÓÒ×ØÖÙÖØ ÛÖÒ<br />

ÒÖØ ÑÒ ÓÚÖÒØ ÐØÙÒÐ×<br />

D μ = ∂ μ + i g 2 ⃗τ ⃗ W μ + i g′<br />

2 Y W B μ , ´½µ<br />

ÛÓ B μ × ÚÖØ Ó×ÓÒÐ ×Ø ÙÒ g, g ′ ÃÓÔÔÐÙÒ×ÔÖÑØÖ Ö×ØÐÐÒ¸ ×Ó ÐØ<br />

ÐÓÐ ÒÚÖÒÞ ÙÒØÖ Ò ÌÖÒ×ÓÖÑØÓÒÒ<br />

χ L → χ ′ L = ei(g⃗ β(x)⃗τ +g ′ α(x)Y W )/2 χ L<br />

ψ R → ψ ′ R = ei(g′ α(x)Y W )/2 ψ R<br />

´½µ

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