Four-loop vacuum energy density of the SU(Nc) + adjoint Higgs theory

2003/04/04 by K. Kajantie, M. Laine, Kari Rummukainen +3 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Geometry #Higgs boson #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scalar (mathematics) #Theoretical physics #Vacuum energy #cond-mat.stat-mech #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/04/036

published as JHEP 0304 (2003) 036 · 30 pages

arxiv created 2003/04/04 · openalex publication_date 2003/04/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master integrals of the type appearing in scalar field theories, is carried out in d dimensions, employing general partial integration identities through an algorithm developed by Laporta, while the remaining scalar integrals are evaluated in d = 3 - 2εdimensions, by expanding in ε<< 1 and evaluating a number of coefficients. The results have implications for the thermodynamics of finite temperature QCD, allowing to determine perturbative contributions of orders O(g⁶ ln(1/g)), O(g⁶) to the pressure, while the general methods are applicable also to studies of critical phenomena in QED-like statistical physics systems.

Citations

• New features of FORM
• Phase diagram of 3D SU(3) gauge-adjoint Higgs system
• Feynman Diagrams to Three Loops in Three Dimensional Field Theory
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Resummation of the QCD thermodynamic potential
• Phase diagram of 3D SU(3) gauge-adjoint Higgs system and C-violation in hot QCD
• QCD and instantons at finite temperature
• Three-loop ground-state energy ofO(N)-symmetric Ginzburg-Landau theory aboveTcin4−ɛdimensions with minimal subtraction
• 3d SU(N) + adjoint Higgs theory and finite-temperature QCD

Cited by

• Advances in perturbative thermal field theory
• Resummation scheme for 3d Yang-Mills and the two-loop magnetic mass for hot gauge theories
• β-functions for aSU(2)matrix model in2+ϵdimensions
• Quark number susceptibilities from resummed perturbation theory