Results 41 to 50 of about 1,806 (222)

Renormalization of the Regularized Relativistic Electron-Positron Field [PDF]

Communications in Mathematical Physics, 2000
11 pages ...
Lieb, Elliott H., Siedentop, Heinz
openaire   +2 more sources

Exact Schwinger Proper Time Renormalisation

Journal of High Energy Physics
We derive an exact version of the Schwinger Proper Time Renormalisation Group flow equation from first principles from the complete path integral, without using any perturbative expansion.
Steven Abel, Lucien Heurtier
doaj   +1 more source

Reduction with degenerate Gram matrix for one-loop integrals

Journal of High Energy Physics, 2022
An improved PV-reduction (Passarino-Veltman) method for one-loop integrals with auxiliary vector R has been proposed in [1, 2]. It has also been shown that the new method is a self-completed method in [3].
Bo Feng, Chang Hu, Tingfei Li, Yuekai Song   +3 more
doaj   +1 more source

BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES [PDF]

Journal of the Institute of Mathematics of Jussieu, 2019
AbstractWe prove that every separable Banach space containing an isomorphic copy of $\ell _{1}$ can be equivalently renormed so that the new bidual norm is octahedral. This answers, in the separable case, a question in Godefroy [Metric characterization of first Baire class linear forms and octahedral norms, Studia Math.95 (1989), 1–15].
Johann Langemets, Ginés López-Pérez
openaire   +3 more sources

Accurately Deciphering Tissue Heterogeneity From Spatial Multi‐Modal and Multi‐Omics With STransformer

Advanced Science, EarlyView.
STransformer is a unified deep learning framework designed to seamlessly accommodate a comprehensive landscape of spatial data. By simultaneously capturing short‐range cellular interactions and tissue‐wide semantic patterns, it extracts robust representations to accurately dissect complex tissue heterogeneity.
Xingyi Li, Jialuo Xu, Gaoyuan Du, Xiangting Jia, Dongmin Zhao, Chunyan Zhou, Kexin Xiao, Jia Gu, Junnan Zhu, Xuequn Shang   +9 more
wiley   +1 more source

Dimensional regularization and renormalization of non-commutative QFT [PDF]

, 2007
31 pages, 8 figuresUsing the recently introduced parametric representation of non-commutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized $\Phi^{\star 4}_4$ model on the Moyal ...
Tanasa, A., Gurau, R.
core  

Sphere free energy of scalar field theories with cubic interactions

Journal of High Energy Physics
The dimensional continuation approach to calculating the free energy of d-dimensional Euclidean CFT on the round sphere S d has been used to develop its 4 – ϵ expansion for a number of well-known non-supersymmetric theories, such as the O(N) model.
Simone Giombi, Elizabeth Himwich, Andrei Katsevich, Igor Klebanov, Zimo Sun   +4 more
doaj   +1 more source

Nontrivial one-loop recursive reduction relation

Journal of High Energy Physics, 2023
In [1], we proposed a universal method to reduce one-loop integrals with both tensor structure and higher-power propagators. But the method is quite redundant as it does not utilize the results of lower rank cases when addressing certain tensor integrals.
Tingfei Li
doaj   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Renormalization: a quasi-shuffle approach [PDF]

, 2018
International audienceIn recent years, the usual BPHZ algorithm for renormalization in perturbative quantum field theory has been interpreted, after dimensional regularization, as a Birkhoff decomposition of characters on the Hopf algebra of Feynman ...
Menous, Frédéric, Frédéric Menous, Frédéric Patras, Patras, Frédéric   +3 more
core   +1 more source