Quantum Field Theory. Introductory Remarks

Meinard Kuhlmann, Manfred Stöckler

Alexandros Gezerlis

This article discusses incorrect statements appearing in textbooks on quantum field theory (QFT); some of these mistakes also appear in the research literature. The focus is not on errors made by an individual author, but on conceptual muddledness that is widespread in introductory textbooks. We start from a bare-bones summary of QFT, meant to establish the notation. We then turn to our six paradigmatic themes, in each case quoting a specific example of the textbook mistake, a summary of material that is known to experts but is frequently mishandled in introductory works, pointers to authoritative references where the relevant concept is handled properly, as well as a concise correction that rectifies any issues. The goal of this work is to warn readers of the existence of several pitfalls and thereby stop these errors from further propagating in the literature on QFT.

Per‐Olov Löwdin

Without abstract; see full text

Armin Uhlmann

Frank A. Wilczek

This paper records my introductory remarks at Nobel Symposium 148 on Quantum Matter and Graphene at Saltsjöbaden, Sweden, in June 2010. After some broad comments on the quantum theory of matter as a frontier of physics, and some slightly more particular comments on re-quantization, I report on the universal geometry that arises in a refined discussion of quantum-mechanical level crossing.

H.-J. Unger