2016Physical Review COpen access

Cutoff regulators in chiral nuclear effective field theory

Bingwei Long, Ying Mei

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Abstract

Three-dimensional cutoff regulators are frequently employed in multinucleon calculations, but they violate chiral symmetry and Lorentz invariance. A cutoff regularization scheme is proposed to compensate systematically at subleading orders for these symmetry violations caused by regulator artifacts. This is especially helpful when a soft momentum cutoff has to be used for technical reasons. It is also shown that dimensional regularization can still be used for some Feynman (sub)diagrams while cutoff regulators are used for the rest.

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Three-dimensional cutoff regulators are frequently employed in multinucleon calculations, but they violate chiral symmetry and Lorentz invariance. A cutoff regularization scheme is proposed to compensate systematically at subleading orders for these symmetry violations caused by regulator artifacts. This is especially helpful when a soft momentum cutoff has to be used for technical reasons. It is also shown that dimensional regularization can still be used for some Feynman (sub)diagrams while cutoff regulators are used for the rest.

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Available abstract

Three-dimensional cutoff regulators are frequently employed in multinucleon calculations, but they violate chiral symmetry and Lorentz invariance. A cutoff regularization scheme is proposed to compensate systematically at subleading orders for these symmetry violations caused by regulator artifacts. This is especially helpful when a soft momentum cutoff has to be used for technical reasons. It is also shown that dimensional regularization can still be used for some Feynman (sub)diagrams while cutoff regulators are used for the rest.

Key concepts: Cutoff, Regularization (linguistics), Physics, Feynman diagram, Dimensional regularization, Lorentz covariance, Lorentz transformation, Chiral symmetry

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