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SUMMARY:RG-stable parameter relations of a scalar field theory in absence 
 of a symmetry
DTSTART:20250526T120000Z
DTEND:20250526T140000Z
DTSTAMP:20260828T112900Z
UID:indico-event-996@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Howard Haber\n\nThe stability of tree-level relation
 s among the parameters of a quantum field theory with respect to renormali
 zation group (RG) running is typically explained by the existence of a sym
 metry. We have examined a toy model of a quantum field theory of two real 
 scalars in which a tree-level relation among the squared-mass parameters o
 f the scalar potential appears to be RG-stable without the presence of an 
 appropriate underlying symmetry. The stability of this relation with respe
 ct to RG running can be explained by complexifying the original scalar fie
 ld theory. It is then possible to exhibit a symmetry that guarantees the r
 elations of relevant beta functions of squared-mass parameters of the comp
 lexified theory. Among these relations\, we can identify equations that ar
 e algebraically identical to the corresponding equations that guarantee th
 e stability of the relations among the squared-mass parameters of the orig
 inal real scalar field theory where the symmetry of the complexified theor
 y is no longer present.\n\nhttps://indico.hiskp.uni-bonn.de/event/996/
URL:https://indico.hiskp.uni-bonn.de/event/996/
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