Reformulations of Yang–Mills theories with space–time tensor fields

2014/10/31 by Zhiqiang Guo, Zhi-Qiang Guo
Physics and Astronomy · #Background field method #Black Holes and Theoretical Physics #Gauge theory #Gluon #Gluon condensate #Invariant (physics) #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Theoretical physics #Yang–Mills existence and mass gap #Yang–Mills theory #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1016/j.aop.2015.11.011

published as Annals of Physics. 364 (2016) 283 · 35 pages,no figures; V2: Extended discussions on higher derivative term and spin-2 field; V3: Discussions on the effectiveness of one loop approximation

openalex publication_date 2015/11/30 · arxiv created 2016/01/29 · arxiv updated 2016/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We provide the reformulations of Yang-Mills theories in terms of gauge invariant metric-like variables in three and four dimensions. The reformulations are used to analyze the dimension two gluon condensate and give gauge invariant descriptions of gluon polarization. In three dimensions, we obtain a non-zero dimension two gluon condensate by one loop computation, whose value is similar to the square of photon mass in the Schwinger model. In four dimensions, we obtain a Lagrangian with the dual property, which shares the similar but different property with the dual superconductor scenario. We also make discussions on the effectiveness of one loop approximation.

Citations

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