Status  Confirmed 
Seminar Series  IPNX 
Subjects  hepph 
Date  Thursday 16 January 2020 
Time  11:00 
Institute  CPHT 
Seminar Room  Salle de conférence Jean Lascoux, bât. 0 
Speaker's Last Name  De Meerleer 
Speaker's First Name  Tim 
Speaker's Email Address  
Speaker's Institution  KU Leuven 
Title  Transversal fields and their consequences: LKFT’s and diagram resummation 
Abstract  In the new model [1] of nonperturbative Quantum Chromodynamics extra fields are introduced to solve the Gribov problem. But these fields can be exploited to solve other problems. As a first project we connect these fields to LandauKhalatnikovFradkin transformations. These LKFT's are introduced as a tool to interpolate npoint correlations functions between different gauges. This way one would be able to link the gluon propagator between different gauges, meaning that one could calculate the propagator in one gauge and find the required correction factor to transform this result to another gauge. As proof of concept these allow to replicate the known Abelian results, but the formalism can be expanded to nonAbelian theories or it can be used to include fermions. In a second item we take a look at another consequence of these fields, namely the extra vertices and propagators that arrive. More precisely, we take a look at the gluon selfenergy, up to first order corrections and the extra diagrams that arrive. In particular we look further at a subset of diagrams which are all logdivergent, but we attempt to resum these and find (surprisingly) a convergent result. Furthermore, these results are mapped with Renormalisation Group results in order to fit the gluon mass parameter to lattice data. [1] Nonperturbative aspects of Euclidean YangMills theories in linear covariant gauges: Nielsen identities and a BRST invariant twopoint correlation function Capri, Dudal, Pereira, Fiorentini, Guimaraes, Mintz, Palhares, Sorella arXiv: 1611.10077v2 
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