Effective potential for non-Abelian gauge theories and spontaneous symmetry breaking

1979 ◽  
Vol 20 (6) ◽  
pp. 1446-1459 ◽  
Author(s):  
Burt A. Ovrut
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Effective Potential ◽  
Gauge Theories ◽  
Abelian Gauge

Gauge hierarchies for chiral SU(N) × SU(N) groups

1976 ◽  
Vol 54 (16) ◽  
pp. 1660-1663 ◽  
Author(s):  
Shalom Eliezer
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Theories ◽  
Vacuum Expectation ◽  
Coupling Constants ◽  
Spontaneous Breaking ◽  
Text Representation ◽  
Algebraic Equations ◽  
Expectation Values ◽  
Special Case

We have presented a special case where a hierarchy of spontaneous breaking of the symmetries can be achieved in conventional gauge theories (i.e. the Higgs scalars are elementary bosons and the coupling constants of the quartic interactions are small). We break spontaneously the chiral group SU(N) × SU(N) with Higgs scalars transforming like the (N, [Formula: see text]) representation of SU(N) × SU(N). By minimizing the potential we obtain a set of algebraic equations of the type[Formula: see text]where ηj are the vacuum expectation values of the Higgs scalars and μi2 and Aij are parameters. In order to get a hierarchy of spontaneous symmetry breaking we obtain the condition det Aij = 0.

Symmetry Breaking in Non-Abelian Gauge Theories

1967 ◽  
Vol 155 (5) ◽  
pp. 1554-1561 ◽  
Author(s):  
T. W. B. Kibble
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories ◽  
Abelian Gauge
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