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Monday, April 04, 2022
4:00 PM - 5:00 PM
Online Event

# High Energy Physics Seminar

Light Quarks at Large N
Michael Dine, UC Santa Cruz,

Lattice gauge theory simulations are our principal probe of the masses of the light quarks. Results from such computations are the primary evidence against the $m_u=0$ solution to the strong CP problem.  The large-$N$ approximation offers an independent approach to light quarks.  We extend existing literature, noting that one can determine the parameters of the non-linear sigma model through second order in quark mass, rule out the $m_u=0$ hypothesis, and make predictions for outputs of lattice calculations and phenomenological fits.  A crucial feature of this analysis is a Wilsonian effective action at scales above the $\eta^\prime$ mass. One can self-consistently test the validity of aspects of this framework, and it may well be good to the part-in-three level. We also note consistency with some phenomenological fits and existing lattice results

The talk is in 469 Lauritsen.