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Negative Norm States in de Sitter Space and QFT without Renormalization Procedure

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Mohammad Vahid Takook

General Relativity and Quantum Cosmology · Submitted 6 Jun 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This means, the effect of these auxiliary negative norm states is to allow an automatic renormalization of the theory in this approximation.

how it is stated · asserted 0.99 read the record →

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arXiv IDgr-qc/0006019 (version 4)
Pith ID7PIF7D45, Pith's permanent record of this paper and its review
CitationMohammad Vahid Takook. "Negative Norm States in de Sitter Space and QFT without Renormalization Procedure." arXiv:gr-qc/0006019 (2000). https://pith.science/paper/7PIF7D45
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,920 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.80 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

In recent papers [1,2], it has been shown that the presence of negative norm states or negative frequency solutions are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content of the theory, offers the advantage of eliminating any ultraviolet divergence in the vacuum energy [2] and infrared divergence in the two point function [3]. We attempt here to extend this method to the interacting quantum field in Minkowski space-time. As an illustration of the procedure, we consider the $\lambda\phi^4$ theory in Minkowski space-time. The mathematical consequences of this method is the disappearance of the ultraviolet divergence to the one-loop approximation. This means, the effect of these auxiliary negative norm states is to allow an automatic renormalization of the theory in this approximation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In recent papers [1,2], it has been shown that the presence of negative norm states or negative frequency solutions are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. background 1.00 0.04 0.11 asserted 1.00
s1 Their presence, while leaving unchanged the physical content of the theory, offers the advantage of eliminating any ultraviolet divergence in the vacuum energy [2] and infrared divergence in the two point function [3]. background 0.87 0.08 0.10 asserted 0.98
s2 We attempt here to extend this method to the interacting quantum field in Minkowski space-time. contribution 0.97 0.55 0.05 asserted 0.32
s3 As an illustration of the procedure, we consider the $\lambda\phi^4$ theory in Minkowski space-time. method 0.69 0.67 0.03 asserted 0.83
s4 The mathematical consequences of this method is the disappearance of the ultraviolet divergence to the one-loop approximation. result 1.00 0.80 0.45 asserted 1.00
s5 This means, the effect of these auxiliary negative norm states is to allow an automatic renormalization of the theory in this approximation. interpretation 1.00 0.74 0.59 asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.62 · evidence from proof or derivation 0.91.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In recent papers [1,2], it has been shown that the presence of negative norm states or negative frequency solutions are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content of the theory, offers the advantage of eliminating any ultraviolet divergence in the vacuum energy [2] and infrared divergence in the two point function [3]. We attempt here to extend this method to the interacting quantum field in Minkowski space-time. As an illustration of the procedure, we consider the $\lambda\phi^4$ theory in Minkowski space-time. The mathematical consequences of this method is the disappearance of the ultraviolet divergence to the one-loop approximation. This means, the effect of these auxiliary negative norm states is to allow an automatic renormalization of the theory in this approximation.

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2 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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