Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) plus adjoint Higgs theory

Di Renzo, F. and Laine, M. and Schroeder, Y. and Torrero, C. (2008) Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) plus adjoint Higgs theory. JOURNAL OF HIGH ENERGY PHYSICS (9): 061. ISSN 1029-8479,

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Abstract

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can be related to various effective gluon condensates in a dimensionally reduced effective field theory, and measured there through lattice simulations. Practical measurements of one of the relevant condensates have suffered, however, from difficulties in extrapolating convincingly to the continuum limit. In order to gain insight on this problem, we employ Numerical Stochastic Perturbation Theory to estimate the problematic condensate up to 4-loop order in lattice perturbation theory. Our results seem to confirm the presence of "large" discretization effects, going like a ln(1/a), where a is the lattice spacing. For definite conclusions, however, it would be helpful to repeat the corresponding part of our study with standard lattice perturbation theory techniques.

Item Type: Article
Uncontrolled Keywords: ELECTROWEAK PHASE-TRANSITION; 3-LOOP FREE-ENERGY; HIGH-TEMPERATURE; FINITE-TEMPERATURE; PERTURBATION-THEORY; GAUGE-THEORIES; 3D PHYSICS; QCD; THERMODYNAMICS; 1ST-ORDER; lattice gauge field theories; thermal field theory; field theories in lower dimensions; NLO computations
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 Oct 2020 13:36
Last Modified: 26 Oct 2020 13:36
URI: https://pred.uni-regensburg.de/id/eprint/30389

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