Journal article

Publication year: 2019

Journal: Physical Review D

Volume number: 100

Issue number: 9

ISSN: 2470-0010

eISSN: 2470-0029

Open access status: Hybrid

DOI Link: https://doi.org/10.1103/PhysRevD.100.094037

Publisher: American Physical Society

Abstract: 
We derive general properties of the scale-dependent effective spectral dimensions of non-perturbative gauge boson propagators as they appear as solutions from different methods in Yang-Mills theories. In the ultraviolet and for short timescales thc anomalous dimensions of the propagators lead to a slight decrease of the spectral dimension as compared to the one of a free propagator. Lowering the momentum scale, the spectral dimension decreases further. The class of propagators which display a maximum at Euclidean momenta, and thus violate positivity, always approaches a spectral dimension of one for large times. We also show that the longest time intervals arc not related to the deep infrared but to the momentum scale defined by the position of the maximum.

Harvard Citation style: Kern, W., Huber, M. and Alkofer, R. (2019) Spectral dimension as a tool for analyzing nonperturbative propagators, Physical Review D, 100(9), Article 094037. https://doi.org/10.1103/PhysRevD.100.094037

APA Citation style: Kern, W., Huber, M., & Alkofer, R. (2019). Spectral dimension as a tool for analyzing nonperturbative propagators. Physical Review D. 100(9), Article 094037. https://doi.org/10.1103/PhysRevD.100.094037