Results 11 to 20 of about 277 (48)

On the Self‐Intersection Local Time of Subfractional Brownian Motion

open access: yesAbstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012
We study the problem of self‐intersection local time of d‐dimensional subfractional Brownian motion based on the property of chaotic representation and the white noise analysis.
Junfeng Liu   +4 more
wiley   +1 more source

Geometrical and topological foundations of theoretical physics: from gauge theories to string program

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 34, Page 1777-1836, 2004., 2004
We study the role of geometrical and topological concepts in the recent developments of theoretical physics, notably in non‐Abelian gauge theories and superstring theory, and further we show the great significance of these concepts for a deeper understanding of the dynamical laws of physics.
Luciano Boi
wiley   +1 more source

Lipschitz property for systems of linear mappings and bilinear forms

open access: yes, 2019
Let G be a graph with undirected and directed edges. Its representation is given by assigning a vector space to each vertex, a bilinear form on the corresponding vector spaces to each directed edge, and a linear map to each directed edge.
Alazemi, Abdullah   +3 more
core   +1 more source

Normal Forms for Symplectic Matrices [PDF]

open access: yes, 2014
We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in $\{-1,0,1 ...
Gutt, Jean
core   +2 more sources

Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics

open access: yes, 2019
We show for a certain class of operators $A$ and holomorphic functions $f$ that the functional calculus $A\mapsto f(A)$ is holomorphic. Using this result we are able to prove that fractional Laplacians $(1+\Delta^g)^p$ depend real analytically on the ...
Bauer, Martin   +3 more
core   +1 more source

The Fuzzy Supersphere

open access: yes, 1998
We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative $Z_{2}$-graded algebras tending in a suitable limit to a dense subalgebra of the $Z_{2}$-graded algebra of ${\cal H}^{\infty}$-functions on the $(2| 2)$-dimensional ...
Balachandran   +56 more
core   +5 more sources

Renormalization and quantum field theory

open access: yes, 2010
The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a ...
Abe   +9 more
core   +3 more sources

Rings That Are Morita Equivalent to Their Opposites

open access: yes, 2015
We consider the following problem: Under what assumptions do one or more of the following are equivalent for a ring $R$: (A) $R$ is Morita equivalent to a ring with involution, (B) $R$ is Morita equivalent to a ring with an anti-automorphism, (C) $R$ is ...
First, Uriya A.
core   +1 more source

Supersymmetric Distributions, Hilbert Spaces of Supersymmetric Functions and Quantum Fields

open access: yes, 2006
The recently investigated Hilbert-Krein and other positivity structures of the superspace are considered in the framework of superdistributions. These tools are applied to problems raised by the rigorous supersymmetric quantum field theory.Comment: 24 ...
Buchbinder J I   +16 more
core   +2 more sources

Parent field theory and unfolding in BRST first-quantized terms

open access: yes, 2005
For free-field theories associated with BRST first-quantized gauge systems, we identify generalized auxiliary fields and pure gauge variables already at the first-quantized level as the fields associated with algebraically contractible pairs for the BRST
A. Semikhatov   +24 more
core   +2 more sources

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