High Energy Behavior of the SM at Unitary Gauge
Abstract
It is shown that in an axialvector field theory the axialvector field is always accompanied by a spin0 field which has negative metric. Therefore, the theory has problem of negative probability and unitarity is broken. The same results are found in a theory of charged vector fields which are coupled to two fermions whose masses are different. These results are applied to the SM. It is found that both Z and W fields contain spin0 component. Their masses are m_{φ0} = m_{t}e^{28.4} = 3.78 × 10^{14} GeV and m_{φ+/} = m_{t}e^{27} = 9.31 × 10^{13} GeV respectively. A new perturbation theory of the SM is proposed. The propagators of Z and W fields in this new perturbation theory are derived in ``unitary gauge.'' A minus sign is obtained in front of the scalar part of the propagators of W and Z fields. The minus sign indicates that the scalar fields have negative metric which leads to negative probability. Therefore, the unitarity of the SM is broken at about ~ 10^{14} GeV.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2002
 DOI:
 10.1142/S0217751X02011369
 Bibcode:
 2002IJMPA..17.3607L
 Keywords:

 Unitarity;
 ghosts;
 the Standard Model