4th V.N. Gribov Memorial Workshop: Theoretical Physics of XXI Century
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4th V.N. Gribov Memorial Workshop
June, 17-20
Chernogolovka, Russia
 
   

Scalar mass bounds in a simple fermion-scalar theory from Functional Renormalisation Group Equations
Date/Time: 17:50 19-Jun-2015
Abstract:
The mass of the scalar field is determined in the simplest cut-off regularized Yukawa-model (a real scalar and a Dirac degree of freedom per spacetime point) in the whole range of stability of the scalar potential. Two versions of the Functional Renormalisation Group (FRG) equations are constructed and solved. In both versions in addition to a non-zero expectation value of the scalar field also the possible existence of a composite fermionic background is taken into account. Close agreement is found with previous studies (Gies et al, 2014) where exclusively the effects arising from a scalar condensate were considered. Our result hints to a rather small systematic truncation error of FRG due to the omission of higher dimensional operators. Several directions of further improvement of the treatment will be outlined.



Authors
Patkos Andras (Presenter)
(no additional information)

 
 
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