Related papers: On L\'{e}on van Hove's 1952 article on the foundations of Quantum Field Theory

On L\'{e}on van Hove's 1952 article on the foundations of Quantum Field Theory

URL: http://arxiv.org/abs/2010.02199v1
Date: Mon, 5 Oct 2020 17:59:06 GMT
Title: On L\'{e}on van Hove's 1952 article on the foundations of Quantum Field Theory
Authors: Fulvio Sbis\`a
Abstract summary: In 1952, L'eon van Hove published an article, in French, with the title Les difficult'es de divergences pour um modele particulier de champ quantifi'e''
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In 1952, L\'{e}on van Hove published an article, in French, with the title ``Les difficult\'{e}s de divergences pour um mod\`{e}le particulier de champ quantifi\'{e}''. The article is frequently cited in relation to Haag's theorem and to the issue of the existence of unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory. Summarizing in brief, it suggests a link between the appearance of divergences in perturbative Quantum Field Theory and the fact that quantum states belonging to an interacting theory do not belong to the same Hilbert space of the free theory. It also suggests that renormalization fails to provide an accurate description of the time evolution of the quantum field, although it correctly accounts for the S matrix. Due to its relevance, and to the difficulty of finding an English translation, the ideas contained in this article are proposed again here, expanded with derivations and accompanied by a discussion aimed at putting the analysis into context. We highlight the main points from the perspective of a contemporary reader, and underline the differences with the standard approach usually taught in curricular courses in Quantum Field Theory.

Related papers

Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
arXiv Detail & Related papers (2024-02-19T19:00:02Z)
Quantum theory without the Axiom of choice, and Lefschetz Quantum Physics [0.0]
We discuss quantum formalisms which do not use the famous Axiom of Choice. We also consider the fundamental problem which addresses the (in)correctness of having the complex numbers as the base field for Hilbert spaces.
arXiv Detail & Related papers (2023-05-17T12:57:19Z)
Revisiting Quantum Contextuality in an Algebraic Framework [0.0]
We discuss the ideas of extracontextuality and extravalence, that allow one to relate Kochen-Specker's and Gleason's theorems. Our extracontextual approach requires however a way to describe the Heisenberg cut''
arXiv Detail & Related papers (2023-04-16T12:06:44Z)
Gravity, Quantum Fields and Quantum Information: Problems with classical channel and stochastic theories [0.0]
We show that the notion of interactions mediated by an information channel is not, in general, equivalent to the treatment of interactions by quantum field theory. Second, we point out that in general one cannot replace a quantum field by that of classical sources, or mock up the effects of quantum fluctuations by classical noises.
arXiv Detail & Related papers (2022-02-06T14:55:46Z)
Theorems motivated by foundations of quantum mechanics and some of their applications [0.0]
This paper provides theorems aimed at shedding light on issues in the foundations of quantum mechanics. theorems can be used to propose new interpretations to the theory, or to better understand, evaluate and improve current interpretations.
arXiv Detail & Related papers (2022-02-02T21:55:57Z)
Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
arXiv Detail & Related papers (2021-11-26T17:22:59Z)
The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z)
Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories [55.53519491066413]
We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
arXiv Detail & Related papers (2020-09-24T18:00:13Z)
Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
arXiv Detail & Related papers (2020-06-28T18:07:59Z)
From a quantum theory to a classical one [117.44028458220427]
We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
arXiv Detail & Related papers (2020-04-01T09:16:38Z)
Bohr meets Rovelli: a dispositionalist account of the quantum limits of knowledge [0.0]
I argue that the no-go theorems reflect on a formal level those practical and experimental settings that are needed to come to know the properties of physical systems. I show that, as a consequence of a relationist and perspectival approach to quantum mechanics, the quantum state of the universe regarded as an isolated system cannot be known in principle.
arXiv Detail & Related papers (2020-01-13T22:45:09Z)

This list is automatically generated from the titles and abstracts of the papers in this site.