very_cryptic@hotmail.com
Aug26-04, 04:32 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>In the original Higgs model, we have the electroweak [SU(2) X U(1)]/Z_2\nYang-Mills theory and a Higgs field which takes values in a (linear)\ndoublet representation of the gauge group which then acquires a VEV. In\nthis model, the mass spectrum includes massive W and Z bosons and a\nmassless photon (which we observe) and a Higgs boson (which we haven\'t\nobserved yet).\n\nHowever, there is no rule in quantum field theory telling us scalar\nfields have to come in linear representations. A nonlinear sigma model\nis also possible provided it\'s a realization of the gauge group. So,\nwhy can\'t we take the Higgs field to be a nonlinear sigma model taking\nvalues in the coset space {[SU(2) X U(1)]/Z_2}/U(1)_em ? This model\nwould still predict the right spin-1 spectrum but in addition, there\nwouldn\'t be any Higgs boson in the msss spectrum, which is consistent\nwith current observations.\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>In the original Higgs model, we have the electroweak [SU(2) X U(1)]/Z_2
Yang-Mills theory and a Higgs field which takes values in a (linear)
doublet representation of the gauge group which then acquires a VEV. In
this model, the mass spectrum includes massive W and Z bosons and a
massless photon (which we observe) and a Higgs boson (which we haven't
observed yet).
However, there is no rule in quantum field theory telling us scalar
fields have to come in linear representations. A nonlinear \sigma model
is also possible provided it's a realization of the gauge group. So,
why can't we take the Higgs field to be a nonlinear \sigma model taking
values in the coset space {[SU(2) X U(1)]/Z_2}/U(1)_em ? This model
would still predict the right spin-1 spectrum but in addition, there
wouldn't be any Higgs boson in the msss spectrum, which is consistent
with current observations.
Yang-Mills theory and a Higgs field which takes values in a (linear)
doublet representation of the gauge group which then acquires a VEV. In
this model, the mass spectrum includes massive W and Z bosons and a
massless photon (which we observe) and a Higgs boson (which we haven't
observed yet).
However, there is no rule in quantum field theory telling us scalar
fields have to come in linear representations. A nonlinear \sigma model
is also possible provided it's a realization of the gauge group. So,
why can't we take the Higgs field to be a nonlinear \sigma model taking
values in the coset space {[SU(2) X U(1)]/Z_2}/U(1)_em ? This model
would still predict the right spin-1 spectrum but in addition, there
wouldn't be any Higgs boson in the msss spectrum, which is consistent
with current observations.