Note on lattice regularization and equal-time correlators for parton distribution functions

Note on lattice regularization and equal-time correlators for parton distribution functions We show that a recent interesting idea to circumvent the difficulties with the continuation of parton distribution functions to the Euclidean region, which consists in looking at equal time correlators between proton states of infinite momentum, encounters some problems related to the power divergent mixing pattern of deep inelastic scattering operators, when implemented within the lattice regularization. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Note on lattice regularization and equal-time correlators for parton distribution functions

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Note on lattice regularization and equal-time correlators for parton distribution functions

Abstract

We show that a recent interesting idea to circumvent the difficulties with the continuation of parton distribution functions to the Euclidean region, which consists in looking at equal time correlators between proton states of infinite momentum, encounters some problems related to the power divergent mixing pattern of deep inelastic scattering operators, when implemented within the lattice regularization.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.014507
Publisher site
See Article on Publisher Site

Abstract

We show that a recent interesting idea to circumvent the difficulties with the continuation of parton distribution functions to the Euclidean region, which consists in looking at equal time correlators between proton states of infinite momentum, encounters some problems related to the power divergent mixing pattern of deep inelastic scattering operators, when implemented within the lattice regularization.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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