Results 11 to 20 of about 138 (86)
We study the application of the Breitenlohner-Maison-’t Hooft-Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of chiral gauge theories, focusing on the specific counterterm structure required by the non-anticommuting Dirac γ 5 ...
Hermès Bélusca-Maïto +3 more
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On renormalons of static QCD potential at u = 1/2 and 3/2
We investigate the u = 1 / 2 O Λ QCD $$ u=1/2\left[\mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right)\right] $$ and u = 3 / 2 O Λ QCD 3 $$ u=3/2\left[\mathcal{O}\left({\Lambda}_{\mathrm{QCD}}^3\right)\right] $$ renormalons in the static QCD potential in ...
Yukinari Sumino, Hiromasa Takaura
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Reduction of one-loop integrals with higher poles by unitarity cut method
Unitarity cut method has been proved to be very useful in the computation of one-loop integrals. In this paper, we generalize the method to the situation where the powers of propagators in the denominator are larger than one in general.
Bo Feng, Hongbin Wang
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General scalar renormalisation group equations at three-loop order
For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme. Utilising
Tom Steudtner
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Analytic tadpole coefficients of one-loop integrals
One remaining problem of unitarity cut method for one-loop integral reduction is that tadpole coefficients can not be straightforward obtained through this way. In this paper, we reconsider the problem by applying differential operators over an auxiliary
Bo Feng, Tingfei Li, Xiaodi Li
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Exploring the invisible renormalon: Renormalization of the heavy-quark kinetic energy [PDF]
Using the virial theorem of the heavy-quark effective theory, we show that the mixing of the operator for the heavy-quark kinetic energy with the identity operator is forbidden at the one-loop order by Lorentz invariance.
M. Neubert
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Symmetric single-impurity Kondo model on a tight-binding chain: Comparison of analytical and numerical ground-state approaches [PDF]
We analyze the ground-state energy, local spin correlation, impurity spin polarization, impurity-induced magnetization, and corresponding zero-field susceptibilities of the symmetric single-impurity Kondo model on a tight-binding chain with bandwidth $W ...
G. Barcza +5 more
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Mass sum rules of the electron in quantum electrodynamics
Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in
S. Rodini, A. Metz, B. Pasquini
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On ambiguities and divergences in perturbative renormalization group functions
There is an ambiguity in choosing field-strength renormalization factors in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme starting from the 3-loop order in perturbation theory.
Florian Herren, Anders Eller Thomsen
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Effective action for the Yukawa model in curved spacetime
We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field is assumed to
David J. Toms
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