Results 31 to 40 of about 44,639 (273)

Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula

open access: yes, 2003
We give a rigorous version of the classical Balian-Bloch trace formula, a semiclassical expansion around a periodic reflecting ray of the (regularized) resolvent of the Dirichlet Laplacian on a bounded smooth plane domain. It is equivalent to the Poisson
Alonso   +15 more
core   +1 more source

Matrix Completion via Max-Norm Constrained Optimization [PDF]

open access: yes, 2016
Matrix completion has been well studied under the uniform sampling model and the trace-norm regularized methods perform well both theoretically and numerically in such a setting.
Cai, T. Tony, Zhou, Wen-Xin
core   +3 more sources

Regularized traces of non-self-adjoint operators [PDF]

open access: yesMathematical Notes, 1999
Let \(T\) be a semibounded selfadjoint operator with trace-class resolvent, \(\lambda _n\) the nondecreasing eigenvalues of \(T\), and \(v_n\) the corresponding orthonormal eigenvectors. Next, let \(P\) be a bounded operator, and let \(\mu _n\) be the eigenvalues of \(T+P\) indexed counting algebraic multiplicities and in such a way that the \(\Re \mu ...
openaire   +2 more sources

A geometric approach to the Yang-Mills mass gap

open access: yesJournal of High Energy Physics, 2023
I provide a new idea based on geometric analysis to obtain a positive mass gap in pure non-abelian renormalizable Yang-Mills theory. The orbit space, that is the space of connections of Yang-Mills theory modulo gauge transformations, is equipped with a ...
Puskar Mondal
doaj   +1 more source

Regularization and Anomalies in Gauge Theory [PDF]

open access: yes, 2000
Some of the basic issues related to the regularization and anomalies in gauge theory are reviewed, with particular emphasis on the recent development in lattice gauge theory.
H Suzuki   +11 more
core   +2 more sources

Continuous non-perturbative regularization of QED

open access: yes, 1998
We regularize in a continuous manner the path integral of QED by construction of a non-local version of its action by means of a regularized form of Dirac's $\delta$ functions.
C. G. Bollini   +32 more
core   +2 more sources

Regularization of energy-momentum tensor correlators and parity-odd terms [PDF]

open access: yes, 2015
We discuss the problem of regularizing correlators in conformal field theories. The only way to do it in coordinate space is to interpret them as distributions.
Bonora, Loriano   +2 more
core   +2 more sources

Regularizing infinite sums of zeta-determinants

open access: yes, 2014
We present a new multiparameter resolvent trace expansion for elliptic operators, polyhomogeneous in both the resolvent and auxiliary variables. For elliptic operators on closed manifolds the expansion is a simple consequence of the parameter dependent ...
Lesch, Matthias, Vertman, Boris
core   +1 more source

Action principles, restoration of BRS symmetry and the renormalization group equation for chiral non-Abelian gauge theories in dimensional renormalization with a non-anticommuting $\gamma_5$ [PDF]

open access: yes, 1999
The one-loop renormalization of a general chiral gauge theory without scalar and Majorana fields is fully worked out within Breitenlohner and Maison dimensional renormalization scheme.
't Hooft   +44 more
core   +2 more sources

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

open access: yesAdvanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt   +8 more
wiley   +1 more source

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