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- W2238961743 abstract "We propose a theoretical framework for evaluating the effect of four-fermion operators on the mass of composite particles in confining strongly-coupled gauge theories. The confining sector is modelled by a non-local Nambu-Jona Lasinio action, whereas the four-fermion operators, arising from a different sector, are local. In order to illustrate the method, we investigate a simple toy model with a global $SU(2)_Ltimes SU(2)_Rto SU(2)_V$ symmetry breaking, and a four-fermion operator breaking $SU(2)_Ltimes SU(2)_R$ but preserving $SU(2)_V$. In the particle spectrum we only include the pseudoscalar isospin triplet, that is the pseudo-Nambu-Goldstone bosons associated with chiral symmetry breaking, and the lightest scalar singlet. After checking that the nonlocal model successfully accounts for the experimental results in two-flavour QCD, we investigate the mass spectrum as a function of the four-fermion coupling. For our specific choice of four-fermion operator, we find that the mass of the pseudoscalar triplet grows, whereas the mass of the lightest scalar singlet is approximately unaffected, as the four-fermion coupling grows. We argue that these results can be directly tested on the lattice, and briefly discuss possible applications of this technique to models of dynamical electroweak symmetry breaking." @default.
- W2238961743 created "2016-06-24" @default.
- W2238961743 creator A5014688882 @default.
- W2238961743 date "2016-01-11" @default.
- W2238961743 modified "2023-09-27" @default.
- W2238961743 title "Effect of four-fermion operators on the mass of the composite particles" @default.
- W2238961743 hasPublicationYear "2016" @default.
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