Construction of free quantum fields on nested fractal space-times-Reference-Cited by-同舟云学术

Construction of free quantum fields on nested fractal space-times

Published:2023-12-01 Issue:12 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Ni Tianjia¹^ORCID,Wen Zhiying²

Affiliation:

1. School of Mathematics, Renmin University of China 1 , Beijing, People’s Republic of China

2. Department of Mathematical Sciences, Tsinghua University 2 , Beijing, People’s Republic of China

Abstract

Free boson quantum fields on unbounded nested fractal space-times are constructed with mathematical rigour. We verify analogous properties to the Wightman’s axioms except for those involving Poincaré invariance.

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0147003/18260059/122303_1_5.0147003.pdf

Reference39 articles.

1. Quantum field - theory models in less than 4 dimensions;Phys. Rev. D,1973

2. Axiomatic basis for spaces with noninteger dimension;J. Math. Phys.,1977

3. Quantum field theory on fractal spacetime: A new regularisation method;J. Phys. A: Math. Gen.,1987

4. Quantum field-theory models on fractal spacetime;Commun. Math. Phys.,1989

5. Fractal theory space: Spacetime of noninteger dimensionality;Phys. Rev. D,2003

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Support of the free measure for quantum field on fractal space-time;Letters in Mathematical Physics;2024-08-13