Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)187
Abstract: We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in (QCD), determined using the off-shell Ward-Takahashi identity for an axial current with a… read more here.
Keywords: current operator; four loop; axial current; regularization four ... See more keywords
On Dimensional Regularization in the Yang–Mills Theory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04281-2
Abstract: We suggest an asymptotic approach to renormalization in the case of dimensional regularization. As an example, the quantum Yang–Mills theory in the four-dimensional space-time is considered. A formula for the renormalized effective action is derived… read more here.
Keywords: mills theory; yang mills; regularization yang; dimensional regularization ... See more keywords
Dimensional regularization of Renyi’s statistical mechanics
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.04.010
Abstract: Abstract We show that typical Renyi’s statistical mechanics’ quantifiers exhibit poles. We are referring to the partition function Z and the mean energy 〈 U 〉 . Renyi’s entropy is characterized by a real parameter… read more here.
Keywords: statistical mechanics; dimensional regularization; renyi statistical; mechanics ... See more keywords
Introduction to Renormalization Theory and Chiral Gauge Theories in Dimensional Regularization with Non-Anticommuting γ5
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DOI: 10.3390/sym15030622
Abstract: This review provides a detailed introduction to chiral gauge theories, renormalization theory, and the application of dimensional regularization with the non-anticommuting BMHV scheme for γ5. One goal was to show how chiral gauge theories can… read more here.
Keywords: chiral gauge; renormalization; dimensional regularization; gauge theories ... See more keywords