Author
Veliev, E. V., Turkan, Arzu, Sungu, J. Y.
Publication Date
2025-01-01
Publication Place
-
Springer Nature
Subject
Gluon propagator, Covariant and non-covariant gauges, Path integral formalism, Non-abelian gauge fields
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0973-1458
Record ID
689245cf-9485-4db4-8ec7-41e0a5f27511
Library Location
Natural and Mathematical Sciences
Date
2025-01-01
Sample Text
Gauge theories, fundamental to modern physics, shape our understanding of particles, atomic nuclei, and the universe’s evolution. Central to these theories is the invariance of the Lagrangian density under specific transformations. This study addresses the quantization of non-abelian gauge theory using the established path integral formalism. We introduce a novel, generalized gauge condition VμGaμ=0 as Vμ=ζ∂μ+σnμ; here, Gaμ represents the gluon field, nμ is an arbitrary constant four-vector, and ζ and σ are real constant parameters. This novel gauge condition facilitates derivations of gluon propagators, which are crucial for understanding the strong force. Our findings demonstrate that this generalized gauge condition seamlessly bridges covariant and non-covariant gauges, as the results reduce to known expressions when ζ = 1, σ = 0 (covariant gauge) and ζ = 0, σ = 1 (non-covariant gauge). Our results recover the known expressions for gluon propagators. This new gauge condition offers a powerful tool for deriving explicit propagator expressions, bridging the gap between covariant and non-covariant gauges. Our findings not only contribute to a deeper understanding of Yang–Mills theories but also shed light on how to address inherent ambiguities within quantum field theories. © Indian Association for the Cultivation of Science 2024.
DOI
10.1007/s12648-024-03501-z
Cilt
99
