14,576 research outputs found
Renormalization of chiral nuclear forces with multiple subtractions in peripheral channels
We analyse the renormalization of the of two-nucleon interaction with
multiple subtractions in peripheral waves considering two chiral forces at
N3LO. Phase shifts at low energies are then computed with several subtraction
points below \mu = 10 / fm. We show that for most peripheral waves the phase
shifts have nearly no dependence on the renormalization scale. In two cases the
phase shifts converge slowly as the renormalization scale approaches \mu = 1 /
fm and in one case the phase shifts presented oscillations with respect to the
subtraction point \mu.Comment: 21 pages, 12 figures, to appear in the special issue "Few-Body
Systems in High Energy Physics" (AHEP
Dilations of partial representations of Hopf algebras
We introduce the notion of a dilation for a partial representation (i.e. a
partial module) of a Hopf algebra, which in case the partial representation
origins from a partial action (i.e.a partial module algebra) coincides with the
enveloping action (or globalization). This construction leads to categorical
equivalences between the category of partial -modules, a category of
(global) -modules endowed with a projection satisfying a suitable
commutation relation and the category of modules over a (global) smash product
constructed upon , from which we deduce the structure of a Hopfish algebra
on this smash product. These equivalences are used to study the interactions
between partial and global representation theory.Comment: 25 pages. Corrected several typos, final version to appear in Journal
of the London Mathematical Societ
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