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Covariant derivative expansion of the Yang-Mills effective action at high temperatures

2003/03/31 by Dmitri Diakonov, D. Diakonov, Michaela Oswald +1 · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Amplitude #Covariant transformation #Effective action #Gauge (firearms) #Gauge anomaly #Gauge covariant derivative #Gauge theory #High-Energy Particle Collisions Research #Introduction to gauge theory #Invariant (physics) #Materials science #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Yang–Mills existence and mass gap #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.68.025012

published as Phys.Rev.D68:025012,2003 · Minor changes. References added. Paper accepted for publication in Phys.Rev.D

arxiv created 2003/06/18 · openalex publication_date 2003/07/10 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Integrating out fast varying quantum fluctuations about Yang-Mills fields Ai and A4, we arrive at the effective action for those fields at high temperatures. Assuming that the fields Ai and A4 are slowly varying but that the amplitude of A4 is arbitrary, we find a nontrivial effective gauge invariant action both in the electric and magnetic sectors. Our results can be used for studying correlation functions at high temperatures beyond the dimensional reduction approximation, as well as for estimating quantum weights of classical static configurations such as dyons.

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