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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. This book provides a coherent exposition of the renormalization techniques underlying these calculations.
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A careful analysis of differential renormalization shows that a distinguished choice of renormalization constants allows for a mathematically more fundamental interpretation of the scheme. With this set of a priori fixed integration constants differential renormalization is most closely related to the theory of generalized functions.
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In a recent work, it was demonstrated within the framework of Pseudo Quantum Electro-dynamics (PQED) at zero temperature that the logarithmic renormalization of the Fermi velocity in a graphene sheet is inhibited by the presence of a single parallel ...
Jeferson Danilo L. Silva+4 more
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A hint of renormalization [PDF]
An elementary introduction to perturbative renormalization and renormalization group is presented. No prior knowledge of field theory is necessary because we do not refer to a particular physical theory. We are thus able to disentangle what is specific to field theory and what is intrinsic to renormalization.
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Quantum Fields and the Cosmological Constant
It has been shown that if one solves self-consistently the semiclassical Einstein equations in the presence of a quantum scalar field, with a cutoff on the number of modes, spacetime become flatter when the cutoff increases. Here, we extend the result to
Renata Ferrero+2 more
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Exploiter le potentiel des processus de renormalisation en formation à l’enseignement
The article analyzes the potential of renormalization contained in “activity oriented” training devices using the viewing of films showing teachers at work.
Valérie Lussi Borer, Alain Muller
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Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena
We place the Landau theory of critical phenomena into the larger context of multiscale thermodynamics. The thermodynamic potentials, with which the Landau theory begins, arise as Lyapunov like functions in the investigation of the relations among ...
Miroslav Grmela+2 more
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Renormalization group fixed points of foliated gravity-matter systems [PDF]
We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a lapse function,
J. Biemans+2 more
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Renormalization for Philosophers [PDF]
We have two aims. The main one is to expound the idea of renormalization in quantum field theory, with no technical prerequisites (Sections 2 and 3). Our motivation is that renormalization is undoubtedly one of the great ideas, and great successes, of twentieth-century physics. Also it has strongly influenced in diverse ways, how physicists conceive of
Jeremy Butterfield, Nazim Bouatta
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Gauge Theories on Deformed Spaces
The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat Groenewold-Moyal spaces and renormalizability, but we will also review ...
Michael Wohlgenannt+3 more
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