Ghisoiu, Ioan: Three-loop Debye mass and effective coupling in thermal QCD. 2013
Inhalt
- Motivation
- Introduction
- Thermodynamics of quantum fields
- Path-integral formulation of QCD
- Renormalization of ultraviolet divergences
- Resummation of infrared divergences
- Effective field theories
- Setup
- Electrostatic and Magnetostatic QCD
- Debye screening
- Spatial string tension
- Background field method
- Parameter matching
- Automatized sum-integral reduction
- Basis transformation
- Master sum-integrals
- Taming tensor structures
- Reduction of 3-loop massive tensor integrals in Euclidean metric
- Lowering dimension of scalar integrals
- Rearrangement of M3,-2
- Reduction of tensor sum-integral Mb
- Properties of spectacles-types. Splitting
- A first example, V(3;21111;20)
- Building blocks of the sum-integral
- Finite parts
- Divergent parts
- Zero-modes
- Zero-mode masters
- Results
- Generalizing the sum-integral computation
- Dimension zero sum-integrals
- Results
- Integrals
- Analytic functions
- Configuration space definitions
- IBP reduction for zero-modes
- IBP for Z(3;31111;22)
- IBP for zero-modes in d=7-2
- IBP reduction for the master-integrals of mass dimension zero
- Configuration space definitions for abc
- IBP relations for the basis changes