Dimensional regularization vs methods in fixed dimension with and without γ 5 [PDF]
Journal 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
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Universality in the Exact Renormalization Group: Comparison to Perturbation Theory [PDF]
Universe, 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
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Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories [PDF]
Physics Letters B, 2015 We formulate the higher covariant derivative regularization for N=2 supersymmetric gauge theories in N=2 harmonic superspace. This regularization is constructed by adding the N=2 supersymmetric higher derivative term to the classical action and inserting
I.L. Buchbinder +2 more
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The exact renormalization group and dimensional regularization [PDF]
International Journal of Modern Physics A, 2022 The exact renormalization group (ERG) is formulated implementing the decimation of degrees of freedom by means of a particular momentum integration measure. The definition of this measure involves a distribution that links this decimation process with the dimensional regularization technique employed in field theory calculations. Taking the dimension [
Trinchero, Roberto
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Renormalization of the pseudoscalar operator at four loops in QCD [PDF]
Journal of High Energy PhysicsWe 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
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Introduction to Renormalization Theory and Chiral Gauge Theories in Dimensional Regularization with Non-Anticommuting γ5 [PDF]
, 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
, 1984 Many numerical predictions of experimental phenomena in particle physics are made possible by exploiting the discovery that simplifications can happen when phenomena are investigated on short distance and time scales.
Collins, John C.
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Emergent inert adjoint scalar field in SU(2) Yang-Mills thermodynamics due to coarse-grained topological fluctuation [PDF]
, 2011 We compute the phase and the modulus of an energy- and pressure-free, composite, adjoint, and inert field φ in an SU(2) Yang-Mills theory at large temperatures.
Hofmann, Ralf, Herbst, Ulrich
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Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine-Gordon Model [PDF]
, 2018 We present the dimensional regularization approach to the renormalization group theory of the generalized sine-Gordon model. The generalized sine-Gordon model means the sine-Gordon model with high frequency cosine modes.
Takashi Yanagisawa
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Regularized Renormalization Group Reduction of Symplectic Maps [PDF]
Journal of the Physical Society of Japan, 2001 By means of the perturbative renormalization group method, we study a long-time behaviour of some symplectic discrete maps near elliptic and hyperbolic fixed points. It is shown that a naive renormalization group (RG) map breaks the symplectic symmetry and fails to describe a long-time behaviour. In order to preserve the symplectic symmetry, we present
Goto, Shin-itiro, Nozaki, Kazuhiro
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