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Causality Rules

A light treatise on dispersion relations and sum rules
Vladimir Pascalutsa


Scattering of light by light is a fundamental process arising at the quantum level through vacuum fluctuations. This short book will explain how, remarkably enough, this quantum process can be described in terms of classical quantities, which are the fusion cross sections. The description is derived from general principles such as causality, unitarity, Lorentz and gauge symmetries. Thus, the reader will be introduced to a rigorous formulation of these fundamental concepts, as well as their physical interpretation, in the context of light-by-light scattering. The book will also demonstrate how these principles emerge from quantum loop calculations of light-by-light scattering within the Standard Model (SM) of particle physics. The final chapter will give a survey of timely applications of the light self-interaction. They range from non-linear optics to precision measurements of the muon anomaly and the dispersion of rays in cosmic microwave background (CMB), to the very recent discovery of light-by-light scattering at the Large Hadron Collider (LHC) at CERN.

About Editors

Vladimir Pascalutsa is a tenured scientist at the Institute for Nuclear Physics of the Johannes Gutenberg University of Mainz, Germany. Prior to this he studied and researched at the Kiev State University and Kernfysisch Versneller Instituut (KVI), before obtaining his PhD at the Institute for Theoretical Physics in Utrecht. He also held postdoctoral positions at NIKHEF (Amsterdam, the Netherlands), Flinders University (Adelaide, Australia), Ohio University (Athens OH, USA), the College of William and Mary (Williamsburg VA, USA), and the ECT* (Trento, Italy).

Table of Contents


Paperback ISBN: 9780750329262

Ebook ISBN: 9781681749181

DOI: 10.1088/978-1-6817-4919-8

Publisher: Morgan & Claypool Publishers


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