Results 21 to 30 of about 35,463 (213)
On a realization of {β}-expansion in QCD
Journal of High Energy Physics, 2017 We suggest a simple algebraic approach to fix the elements of the {β}-expansion for renormalization group invariant quantities, which uses additional degrees of freedom.
S.V. Mikhailov
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Off-shell divergences in quantum gravity
Journal of High Energy Physics, 2023 We investigate off-shell perturbative renormalisation of pure quantum gravity for both background metric and quantum fluctuations. We show that at each new loop order, the divergences that do not vanish on-shell are constructed from only the total metric,
Vlad-Mihai Mandric +2 more
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Differential renormalization and dimensional regularization [PDF]
Nuclear Physics B, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularization, renormalization, and dimensional analysis: Dimensional regularization meets freshman E&M [PDF]
American Journal of Physics, 2011 We illustrate the dimensional regularization technique using a simple example from electrostatics. This example illustrates the virtues of dimensional regularization without the complications of a full quantum field theory calculation. We contrast the dimensional regularization approach with the cutoff regularization approach, and demonstrate that ...
Olness, Fredrick, Scalise, Randall
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Effective action for the Yukawa model in curved spacetime
Journal of High Energy Physics, 2018 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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BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2019 AbstractWe prove that every separable Banach space containing an isomorphic copy of $\ell _{1}$ can be equivalently renormed so that the new bidual norm is octahedral. This answers, in the separable case, a question in Godefroy [Metric characterization of first Baire class linear forms and octahedral norms, Studia Math.95 (1989), 1–15].
Johann Langemets, Ginés López-Pérez
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Line defect RG flows in the ε expansion
Journal of High Energy Physics, 2023 A general analysis of line defect renormalisation group (RG) flows in the ε expansion below d = 4 dimensions is undertaken. The defect beta function for general scalar-fermion bulk theories is computed to next-to-leading order in the bulk couplings ...
William H. Pannell, Andreas Stergiou
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One-loop diagrams with quadratic propagators from the worldsheet
Journal of High Energy Physics, 2022 It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop amplitudes and trivalent diagrams with propagators linear in the loop momentum.
Bo Feng +3 more
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Scalar-fermion fixed points in the ε expansion
Journal of High Energy Physics, 2023 The one-loop beta functions for systems of N s scalars and N f fermions interacting via a general potential are analysed as tensorial equations in 4 − ε dimensions.
William H. Pannell, Andreas Stergiou
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, 2007 We compute the relation between the pole quark mass and the minimally subtracted quark mass in the framework of QCD applying dimensional reduction as a regularization scheme.
Avdeev +41 more
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