52,317 research outputs found
Bounds of incidences between points and algebraic curves
We prove new bounds on the number of incidences between points and higher
degree algebraic curves. The key ingredient is an improved initial bound, which
is valid for all fields. Then we apply the polynomial method to obtain global
bounds on and .Comment: 11 page
Gauge and Lorentz Covariant Quark Propagator in an Arbitrary Gluon Field
The quark propagator in presence of an arbitrary gluon field is calculated
gauge and Lorentz covariantly order by order in terms of powers of gluon field
and its derivatives. The result is independent of path connecting ends of
propagator and leading order result coincides with the exact propagator in the
trivial case of vanishing gluon field.Comment: 9 page
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