Periodic Euclidean solutions and the finite-temperature Yang-Mills gas

1978/04/15 by Barry J. Harrington, Harvey K. Shepard · 11 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Euclidean geometry #Partition function (quantum field theory) #Yang–Mills theory #Physics #Gauge theory #Mathematical physics #Gauge (firearms) #Mathematics #Theoretical physics #Quantum mechanics #Materials science #Geometry

paper · doi:10.1103/physrevd.17.2122

openalex publication_date 1978/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present explicit periodic solutions for SU(2) Euclidean gauge theory and briefly consider the contribution of the corresponding finite-temperature configurations to the partition function of the Yang-Mills gas.

Citations

• Pseudoparticle solutions of the Yang-Mills equations
• Zeta function regularization of path integrals in curved spacetime
• Gravitational instantons

Cited by

• Aspects ofC3-symmetric calorons from numerical Nahm transform
• Covariant derivative expansion of the Yang-Mills effective action at high temperatures
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Chiral phase transition and axion mass
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Zero temperature calibrations and numerical framework
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: Strongly associating fluids and biased Monte Carlo
• Classical interactions of the instanton-dyons with antidyons
• Structure and dynamics of monopoles in axial-gauge QCD
• SU(2) Yang-Mills thermodynamics: A priori estimate and radiative corrections
• Hyperbolic Calorons, Monopoles, and Instantons
• Zero of the fermion zero mode
• Caloron [wikipedia]