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

Journal Article · Fri Jan 15 00:00:00 EST 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.11.011· OSTI ID:22560291

Guo, Zhi-Qiang

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.

• OSTI ID: 22560291
• Journal Information: Annals of Physics, Vol. 364, Issue Complete; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
GAUGE INVARIANCE
GLUON CONDENSATION
GLUONS
LAGRANGIAN FUNCTION
METRICS
PHOTONS
POLARIZATION
SCHWINGER-TOMONAGA FORMALISM
SPACE-TIME
SUPERCONDUCTORS
TENSOR FIELDS
TENSORS
YANG-MILLS THEORY