Speaker
Freddie Matthew King
(University of Sussex)
Description
Investigation of supposedly non-renormalisable four-fermion interactions using the FRG reveals non-trivial fixed points that recover predictivity. Scale-symmetry breaking and mass generation can be seen in Gross–Neveu theory, which involves only 'scalars' (ψbarψ). We extend these ideas to the Nambu-Jona-Lasinio model, which includes a 'pseudo-scalar' (ψγ5barψ) such that there is an overall U(1)xU(1) global symmetry. The flow of this theory is equivalent to Gross–Neveu, but the appearance of non-analytic operators calls for clarification, which we achieve via partial bosonisation. This makes breaking of the global U(1) symmetry manifest, which may open a route to studying pion-like Goldstone modes in a more exact setting.
| Affiliation | University of Sussex |
|---|---|
| Career status | PhD student |
Authors
Charlie Cresswell-Hogg
Daniel Litim
(University of Sussex)
Freddie Matthew King
(University of Sussex)