Exploring the gluon propagator in a generalized gauge condition

Name: Exploring the gluon propagator in a generalized gauge condition
Author: Veliev, E. V., Turkan, Arzu, Sungu, J. Y.

İsim	Exploring the gluon propagator in a generalized gauge condition
Yazar	Veliev, E. V., Turkan, Arzu, Sungu, J. Y.
Basım Tarihi:	2025-01-01
Basım Yeri	- Springer Nature
Konu	Gluon propagator, Covariant and non-covariant gauges, Path integral formalism, Non-abelian gauge fields
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0973-1458
Kayıt Numarası	689245cf-9485-4db4-8ec7-41e0a5f27511
Lokasyon	Natural and Mathematical Sciences
Tarih	2025-01-01
Örnek Metin	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

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Exploring the gluon propagator in a generalized gauge condition

Yazar Veliev, E. V., Turkan, Arzu, Sungu, J. Y.

Basım Tarihi 2025-01-01

Basım Yeri - Springer Nature

Konu Gluon propagator, Covariant and non-covariant gauges, Path integral formalism, Non-abelian gauge fields

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0973-1458

Kayıt Numarası 689245cf-9485-4db4-8ec7-41e0a5f27511

Lokasyon Natural and Mathematical Sciences

Tarih 2025-01-01

Örnek Metin 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