Results 11 to 20 of about 2,214 (215)

Dimensional regularization vs methods in fixed dimension with and without γ 5

open access: yesJournal of High Energy Physics, 2018
We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ 5 matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions.
A. M. Bruque   +2 more
doaj   +2 more sources

Universality in the Exact Renormalization Group: Comparison to Perturbation Theory [PDF]

open access: yesUniverse, 2023
Various formulations of the exact renormalization group can be compared in the perturbative domain, in which we have reliable expressions for regularization-independent (universal) quantities.
José Gaite
doaj   +2 more sources

Self-renormalization of quasi-light-front correlators on the lattice [PDF]

open access: yesNuclear Physics B, 2021
In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines.
Yi-Kai Huo   +12 more
doaj   +2 more sources

Renormalization of the pseudoscalar operator at four loops in QCD

open access: yesJournal of High Energy Physics
We present the renormalization constant of the pseudoscalar operator defined with a non-anticommuting γ 5 in dimensional regularization up to four-loop order in perturbative Quantum Chromodynamics (QCD).
Long Chen   +2 more
doaj   +3 more sources

Regularization, renormalization, and renormalization groups

open access: yes, 2011
This paper confronts renormalization used in quantum field theory and that used in critical phenomena studies in statistical mechanics or dynamical systems theory. Regularization that cures spurious divergences is distinguished from renormalization transformations allowing to compute actual physical divergences.
Lesne, Annick
openaire   +2 more sources

Leading all-loop quantum contribution to the effective potential in general scalar field theory

open access: yesJournal of High Energy Physics, 2023
The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions.
D. I. Kazakov   +2 more
doaj   +1 more source

Higher logarithms and ε-poles for the MS-like renormalization prescriptions

open access: yesJournal of High Energy Physics, 2023
We consider a version of dimensional regularization (reduction) in which the dimensionful regularization parameter Λ is in general different from the renormalization scale μ.
N. P. Meshcheriakov   +2 more
doaj   +1 more source

Towards general scalar-Yukawa renormalisation group equations at three-loop order

open access: yesJournal of High Energy Physics, 2021
For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme are investigated at three-loop order in perturbation theory.
Tom Steudtner
doaj   +1 more source

Introduction to Renormalization Theory and Chiral Gauge Theories in Dimensional Regularization with Non-Anticommuting γ5

open access: yes, 2023
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.
Dominik Stöckinger   +5 more
core   +1 more source

Asymptotic freedom and higher derivative gauge theories

open access: yesJournal of High Energy Physics, 2021
The ultraviolet completion of gauge theories by higher derivative terms can dramatically change their behavior at high energies. The requirement of asymptotic freedom imposes very stringent constraints that are only satisfied by a small family of higher ...
M. Asorey, F. Falceto, L. Rachwał
doaj   +1 more source

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