中文

基于小波的量子场论

高能物理 - 理论 2008-12-19 v1

摘要

考虑了基于连续小波变换构建的场 ϕΔx(x)\phi_{\Delta x}(x) 的欧几里得量子场论,该场同时依赖于位置 xx 和分辨率 Δx\Delta x,构建见 SIGMA 2 (2006), 046, hep-th/0604170。在此理论中,若假设内线中不存在小于外线最小尺度的尺度,则费曼图变为有限。这种正则化与现有的电子磁矩辐射修正计算一致。通过对尺度参数积分,可实现从新构建的理论到标准欧几里得场论的过渡。

关键词

引用

@article{arxiv.0711.1671,
  title  = {Wavelet-Based Quantum Field Theory},
  author = {Mikhail V. Altaisky},
  journal= {arXiv preprint arXiv:0711.1671},
  year   = {2008}
}

评论

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

R2 v1 2026-06-29T05:32:42.067Z