DRalgo: a package for effective field theory approach for thermal phase transitions. (English) Zbl 1525.81029
Summary: DRalgo is an algorithmic implementation that constructs an effective, dimensionally reduced, high-temperature field theory for generic models. The corresponding Mathematica package automatically performs the matching to next-to-leading order. This includes two-loop thermal corrections to scalar and Debye masses as well as one-loop thermal corrections to couplings. DRalgo also allows for integrating out additional heavy scalars. Along the way, the package provides leading-order beta functions for general gauge-charges and fermion-families; both in the fundamental and in the effective theory. Finally, the package computes the finite-temperature effective potential within the effective theory. The article explains the theory of the underlying algorithm while introducing the software on a pedagogical level.
MSC:
| 81T12 | Effective quantum field theories |
| 81T33 | Dimensional compactification in quantum field theory |
| 80A10 | Classical and relativistic thermodynamics |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 55P35 | Loop spaces |
| 33B15 | Gamma, beta and polygamma functions |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 81V74 | Fermionic systems in quantum theory |
| 81-08 | Computational methods for problems pertaining to quantum theory |
| 81-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory |
Keywords:
dimensional reductionReferences:
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