Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory
| Autor: | York Schröder, C. Torrero, F. Di Renzo, Mikko Laine |
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| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
Nuclear and High Energy Physics
dimension: 3 High Energy Physics::Lattice Lattice field theory FOS: Physical sciences gluon: condensation High Energy Physics - Lattice High Energy Physics - Phenomenology (hep-ph) Lattice constant effective field theory Vacuum energy factorization Lattice (order) quantum chromodynamics Effective field theory dimensional reduction energy: density numerical calculations Mathematical physics Quantum chromodynamics Physics Thermal quantum field theory High Energy Physics - Lattice (hep-lat) perturbation theory: higher-order lattice field theory High Energy Physics - Phenomenology Higgs model gauge field theory: SU(3) perturbation theory: stochastic Perturbation theory (quantum mechanics) |
| Popis: | 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. Comment: 35 pages. v2: minor corrections, published version |
| Databáze: | OpenAIRE |
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