https://doi.org/10.1140/epjc/s10052-020-8261-7
Regular Article - Theoretical Physics
Differential Dyson–Schwinger equations for quantum chromodynamics
Via Erasmo Gattamelata, 3, 00176, Rome, Italy
* e-mail: marcofrasca@mclink.it
Received:
24
January
2019
Accepted:
18
July
2020
Published online:
6
August
2020
Using a technique devised by Bender, Milton and Savage, we derive the Dyson–Schwinger equations for quantum chromodynamics in differential form. We stop our analysis to the two-point functions. The ’t Hooft limit of color number going to infinity is derived showing how these equations can be cast into a treatable even if approximate form. It is seen how this limit gives a sound description of the low-energy behavior of quantum chromodynamics by discussing the dynamical breaking of chiral symmetry and confinement, providing a condition for the latter. This approach exploits a background field technique in quantum field theory.
© The Author(s), 2020
