Results 31 to 40 of about 35,501 (212)
Off-shell divergences in quantum gravity
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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Multi-collinear splitting kernels for track function evolution
Jets and their substructure play a central role in many analyses at the Large Hadron Collider (LHC). To improve the precision of measurements, as well as to enable measurement of jet substructure at increasingly small angular scales, tracking information
Hao Chen +5 more
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Differential renormalization and dimensional regularization [PDF]
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Regularization, renormalization, and dimensional analysis: Dimensional regularization meets freshman E&M [PDF]
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
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]
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
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
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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Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations [PDF]
We present a method to compute non-perturbatively the renormalization constant of the scalar density for Ginsparg-Wilson fermions. It relies on chiral symmetry and is based on a matching of renormalization group invariant masses at fixed pseudoscalar ...
Hernandez, Pilar +3 more
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Scalar-fermion fixed points in the ε expansion
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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