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This paper has been withdrawn by author due to an error in the proof.

几何拓扑 · 数学 2007-05-23 Qing Zhou

We give a simple and elegant proof of the Equivalence Theorem, stating that two field theories related by nonlinear field transformations have the same S matrix. We are thus able to identify a subclass of nonrenormalizable field theories…

高能物理 - 理论 · 物理学 2009-12-30 Alberto Blasi , Nicola Maggiore , Silvio P. Sorella , Luiz C. Q. Vilar

The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific journal, but withdrawn by the author after the discovery of…

概率论 · 数学 2020-11-05 F. Thomas Bruss

We study the positive theory of groups acting on trees and show that under the presence of weak small cancellation elements, the positive theory of the group is trivial, i.e. coincides with the positive theory of a non-abelian free group.…

In this preliminary note we prove that the theory of valued fields equipped with an action of a given finite group has a model companion.

逻辑 · 数学 2025-06-17 Piotr Błaszkiewicz , Jakub Gogolok

In the field-antifield formalism, we review existence and uniqueness proofs for the proper action in the reducible case. We give two new existence proofs based on two resolution degrees called "reduced antifield number" and "shifted…

高能物理 - 理论 · 物理学 2015-05-14 Igor A. Batalin , Klaus Bering

The properties of strongly gravitating systems suggest that field theory overcounts the states of a system. Reducing the number of degrees of freedom, without abandoning the notion of effective field theory, may be achieved through a…

高能物理 - 理论 · 物理学 2009-02-10 Nikolaos Tetradis

This article has been withdrawn due to an error in a proof of the main result.

代数拓扑 · 数学 2011-04-15 Mark Grant

This paper has been withdrawn by the author: it was a too preliminary version.

其他凝聚态物理 · 物理学 2007-05-23 Francois Ghoulmie

In this article, we consider actions of \mathcal{Z}_+^d, \mathcal{R}_+^d and finitely generated free groups on a von Neumann algebras $M$ and prove a version of maximal ergodic inequality. Additionally, we establish non-commutative…

算子代数 · 数学 2023-07-04 Panchugopal Bikram , Diptesh Saha

This paper has been withdrawn because the author no longer believes the firewall argument is correct.

高能物理 - 理论 · 物理学 2012-08-06 Leonard Susskind

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

代数几何 · 数学 2007-05-23 V. Beorchia , G. Sacchiero

We prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual retracts. We describe a uniform solution to the membership problem for finitely…

群论 · 数学 2007-06-29 Martin R. Bridson , Henry Wilton

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

信息论 · 计算机科学 2007-10-29 Zhengbang Zha , XueLi Wang

This paper has been withdrawn. The results are now part of math.GR/9804072.

群论 · 数学 2007-05-23 Arturo Magidin

We introduce the first complete formal solution to corrigibility in the off-switch game, with provable guarantees in multi-step, partially observed environments. Our framework consists of five *structurally separate* utility heads --…

人工智能 · 计算机科学 2025-11-20 Aran Nayebi

This paper has been withdrawn by the author due to a crucial error.

代数几何 · 数学 2009-06-09 Takehiko Yasuda

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

泛函分析 · 数学 2016-09-08 Joerg Eschmeier

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

微分几何 · 数学 2008-04-04 Corey A. Hoelscher

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

量子物理 · 物理学 2007-05-23 Minh-Dung Dang