Results 101 to 110 of about 1,791 (221)

Regularization versus Renormalization: Why Are Casimir Energy Differences So Often Finite?

, 2018
One of the very first applications of the quantum field theoretic vacuum state was in the development of the notion of Casimir energy. Now, field theoretic Casimir energies, considered individually, are always infinite.
Matt Visser
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A Perspective on Regularization and Curvature

, 2010
A global connection on the Connes Marcolli renormalization bundle relates β-functions of a class of regularization schemes by gauge transformations, as well as local solutions to β-functions over curved space ...
Susama Agarwala, Agarwala, Susama
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A renormalization scheme for semi-regular continued fractions

Monatshefte für Mathematik
Abstract In this article we study a renormalization scheme with which we find all semi-regular continued fractions of a number in a natural way. We define two maps, $$\hat{T}_{slow}$$ T ^
Niels Langeveld, David Ralston
openaire   +2 more sources

Gradient RG flow in scalar-fermion QFTs

Journal of High Energy Physics
The gradient property of the renormalisation group (RG) is examined to four-loop order in scalar-fermion systems in d = 4 and d = 4 − ε dimensions. The crucial role played by the beta shift, which is a modification of the standard dim-reg beta function ...
William H. Pannell, William P. Ronayne, Andreas Stergiou   +2 more
doaj   +1 more source

Classical Renormalization of Codimension-two Brane Couplings [PDF]

, 2007
The curvature on codimension‐two and higher branes is not regular for arbitrary matter sources. Nevertheless, the low‐energy theory for an observer on such a brane should be well‐defined and independent to any regularization procedure.
Jean-Luc Lehners, de Rham, Claudia, Arttu Rajantie, Horace Stoica, Paul Dauncey, Carlo Contaldi, Claudia de Rham   +6 more
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Infrared regularization of baryon chiral perturbation theory reformulated

, 2004
We formulate the infrared regularization of Becher and Leutwyler in a form analogous to our recently proposed extended on-mass-shell renormalization. In our formulation, IR regularization can be applied to multi-loop diagrams with an arbitrary number of ...
Schindler, Matthias R., Gegelia, Jambul, Scherer, Stefan   +2 more
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Dirac traces and the Tutte polynomial

Journal of High Energy Physics
Perturbative calculations involving fermion loops in quantum field theories require tracing over Dirac matrices. A simple way to regulate the divergences that generically appear in these calculations is dimensional regularisation, which has the ...
Joshua Lin
doaj   +1 more source

Higher covariant derivative regulators and non multiplicative renormalization

, 1995
© 1995 Elsevier Science B.V. F.R.R. was supported by FOM, The Netherlands. The authors also acknowledge partial support from CICyT, Spain.The renormalization algorithm based on regularization methods with two regulators is analyzed by means of explicit
Martin, C.P, Ruiz Ruiz, Fernando
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Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M

, 2008
We illustrate the dimensional regularization technique using a simple problem from elementary electrostatics. We contrast this approach with the cutoff regularization approach, and demonstrate that dimensional regularization preserves the translational ...
Olness, Fredrick, Scalise, Randall
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Regularization Scheme Dependence of the Counterterms in the Galaxy Bias Expansion

, 2023
In this paper we explore how different regularization prescriptions affect the counterterms in the renormalization of the galaxy bias expansion. We work in the context of primordial local non-Gaussianity including non-linear gravitational evolution.
Testa, Adriano, Wise, Mark B., Patrone, Samuel   +2 more
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