Extracting topological information from momentum space propagators

Fabrizio Canfora, David Dudal, Alex Giacomini, Igor F. Justo, Pablo Pais, Luigi Rosa
2019 European Physical Journal C: Particles and Fields  
A new topological invariant quantity, sensitive to the analytic structure of both fermionic and bosonic propagators, is proposed. The gauge invariance of our construct is guaranteed for at least small gauge transformations. A generalization compatible with the presence of complex poles is introduced and applied to the classification of propagators typically emerging from non-perturbative considerations. We present partial evidence that the topological number can be used to detect chiral
more » ... tect chiral symmetry breaking or deconfinement.
doi:10.1140/epjc/s10052-019-7322-2 fatcat:h66qhllj7zgwvciwfe5qric2ea